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Network Working Group                                           T. ZsebyRequest for Comments: 5475                              Fraunhofer FOKUSCategory: Standards Track                                      M. Molina                                                                   DANTE                                                             N. Duffield                                                    AT&T Labs - Research                                                            S. Niccolini                                                         NEC Europe Ltd.                                                              F. Raspall                                                                EPSC-UPC                                                              March 2009Sampling and Filtering Techniques for IP Packet SelectionStatus of This Memo   This document specifies an Internet standards track protocol for the   Internet community, and requests discussion and suggestions for   improvements.  Please refer to the current edition of the "Internet   Official Protocol Standards" (STD 1) for the standardization state   and status of this protocol.  Distribution of this memo is unlimited.Copyright Notice   Copyright (c) 2009 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents in effect on the date of   publication of this document (http://trustee.ietf.org/license-info).   Please review these documents carefully, as they describe your rights   and restrictions with respect to this document.   This document may contain material from IETF Documents or IETF   Contributions published or made publicly available before November   10, 2008.  The person(s) controlling the copyright in some of this   material may not have granted the IETF Trust the right to allow   modifications of such material outside the IETF Standards Process.   Without obtaining an adequate license from the person(s) controlling   the copyright in such materials, this document may not be modified   outside the IETF Standards Process, and derivative works of it may   not be created outside the IETF Standards Process, except to format   it for publication as an RFC or to translate it into languages other   than English.Zseby, et al.               Standards Track                     [Page 1]

RFC 5475           Techniques for IP Packet Selection         March 2009Abstract   This document describes Sampling and Filtering techniques for IP   packet selection.  It provides a categorization of schemes and   defines what parameters are needed to describe the most common   selection schemes.  Furthermore, it shows how techniques can be   combined to build more elaborate packet Selectors.  The document   provides the basis for the definition of information models for   configuring selection techniques in Metering Processes and for   reporting the technique in use to a Collector.Table of Contents1. Introduction ....................................................31.1. Conventions Used in This Document ..........................42. PSAMP Documents Overview ........................................43. Terminology .....................................................43.1. Observation Points, Packet Streams, and Packet Content .....43.2. Selection Process ..........................................53.3. Reporting ..................................................73.4. Metering Process ...........................................73.5. Exporting Process ..........................................83.6. PSAMP Device ...............................................83.7. Collector ..................................................83.8. Selection Methods ..........................................84. Categorization of Packet Selection Techniques ..................115. Sampling .......................................................125.1. Systematic Sampling .......................................135.2. Random Sampling ...........................................145.2.1. n-out-of-N Sampling ................................145.2.2. Probabilistic Sampling .............................146. Filtering ......................................................166.1. Property Match Filtering ..................................166.2. Hash-Based Filtering ......................................19           6.2.1. Application Examples for Coordinated Packet                  Selection ..........................................196.2.2. Desired Properties of Hash Functions ...............216.2.3. Security Considerations for Hash Functions .........226.2.4. Choice of Hash Function ............................267. Parameters for the Description of Selection Techniques .........297.1. Description of Sampling Techniques ........................307.2. Description of Filtering Techniques .......................318. Composite Techniques ...........................................348.1. Cascaded Filtering->Sampling or Sampling->Filtering .......348.2. Stratified Sampling .......................................349. Security Considerations ........................................3510. Contributors ..................................................3611. Acknowledgments ...............................................36Zseby, et al.               Standards Track                     [Page 2]

RFC 5475           Techniques for IP Packet Selection         March 200912. References ....................................................3612.1. Normative References .....................................3612.2. Informative References ...................................36Appendix A. Hash Functions ........................................40A.1 IP Shift-XOR (IPSX) Hash Function..............................40A.2 BOB Hash Function..............................................411.  Introduction   There are two main drivers for the evolution in measurement   infrastructures and their underlying technology.  First, network data   rates are increasing, with a concomitant growth in measurement data.   Second, the growth is compounded by the demand of measurement-based   applications for increasingly fine-grained traffic measurements.   Devices that perform the measurements, require increasingly   sophisticated and resource-intensive measurement capabilities,   including the capture of packet headers or even parts of the payload,   and classification for flow analysis.  All these factors can lead to   an overwhelming amount of measurement data, resulting in high demands   on resources for measurement, storage, transfer, and post processing.   The sustained capture of network traffic at line rate can be   performed by specialized measurement hardware.  However, the cost of   the hardware and the measurement infrastructure required to   accommodate the measurements preclude this as a ubiquitous approach.   Instead, some form of data reduction at the point of measurement is   necessary.   This can be achieved by an intelligent packet selection through   Sampling or Filtering.  Another way to reduce the amount of data is   to use aggregation techniques (not addressed in this document).  The   motivation for Sampling is to select a representative subset of   packets that allow accurate estimates of properties of the unsampled   traffic to be formed.  The motivation for Filtering is to remove all   packets that are not of interest.  Aggregation combines data and   allows compact pre-defined views of the traffic.  Examples of   applications that benefit from packet selection are given in   [RFC5474].  Aggregation techniques are out of scope of this document.Zseby, et al.               Standards Track                     [Page 3]

RFC 5475           Techniques for IP Packet Selection         March 20091.1.  Conventions Used in This Document   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this   document are to be interpreted as described inRFC 2119 [RFC2119].2.  PSAMP Documents Overview   This document is one out of a series of documents from the PSAMP   group.   [RFC5474]: "A Framework for Packet Selection and Reporting" describes   the PSAMP framework for network elements to select subsets of packets   by statistical and other methods, and to export a stream of reports   on the selected packets to a Collector.RFC 5475 (this document): "Sampling and Filtering Techniques for IP   Packet Selection" describes the set of packet selection techniques   supported by PSAMP.   [RFC5476]: "Packet Sampling (PSAMP) Protocol Specifications"   specifies the export of packet information from a PSAMP Exporting   Process to a PSAMP Collecting Process.   [RFC5477]: "Information Model for Packet Sampling Exports" defines an   information and data model for PSAMP.3.  Terminology   The PSAMP terminology defined here is fully consistent with all terms   listed in [RFC5474] but includes additional terms required for the   description of packet selection methods.  An architecture overview   and possible configurations of PSAMP elements can be found in   [RFC5474].  PSAMP terminology also aims at consistency with terms   used in [RFC3917].  The relationship between PSAMP and IPFIX terms is   described in [RFC5474].   In the PSAMP documents, all defined PSAMP terms are written   capitalized.  This document uses the same convention.3.1.  Observation Points, Packet Streams, and Packet Content   * Observation Point      An Observation Point [RFC5101] is a location in the network where      packets can be observed.  Examples include:         (i)  A line to which a probe is attached;Zseby, et al.               Standards Track                     [Page 4]

RFC 5475           Techniques for IP Packet Selection         March 2009        (ii) a shared medium, such as an Ethernet-based LAN;       (iii) a single port of a router, or set of interfaces (physical             or logical) of a router;        (iv) an embedded measurement subsystem within an interface.      Note that one Observation Point may be a superset of several other      Observation Points.  For example, one Observation Point can be an      entire line card.  This would be the superset of the individual      Observation Points at the line card's interfaces.   * Observed Packet Stream      The Observed Packet Stream is the set of all packets observed at      the Observation Point.   * Packet Stream      A Packet Stream denotes a set of packets from the Observed Packet      Stream that flows past some specified point within the Metering      Process.  An example of a Packet Stream is the output of the      selection process.  Note that packets selected from a stream,      e.g., by Sampling, do not necessarily possess a property by which      they can be distinguished from packets that have not been      selected.  For this reason, the term "stream" is favored over      "flow", which is defined as a set of packets with common      properties [RFC3917].   * Packet Content      The Packet Content denotes the union of the packet header (which      includes link layer, network layer, and other encapsulation      headers) and the packet payload.  At some Observation Points, the      link header information may not be available.3.2.  Selection Process   * Selection Process      A Selection Process takes the Observed Packet Stream as its input      and selects a subset of that stream as its output.Zseby, et al.               Standards Track                     [Page 5]

RFC 5475           Techniques for IP Packet Selection         March 2009   * Selection State      A Selection Process may maintain state information for use by the      Selection Process.  At a given time, the Selection State may      depend on packets observed at and before that time, and other      variables.  Examples include:         (i) sequence numbers of packets at the input of Selectors;        (ii) a timestamp of observation of the packet at the Observation             Point;       (iii) iterators for pseudorandom number generators;        (iv) hash values calculated during selection;         (v) indicators of whether the packet was selected by a given             Selector.      Selection Processes may change portions of the Selection State as      a result of processing a packet.  Selection State for a packet is      to reflect the state after processing the packet.   * Selector      A Selector defines what kind of action a Selection Process      performs on a single packet of its input.  If selected, the packet      becomes an element of the output Packet Stream.      The Selector can make use of the following information in      determining whether a packet is selected:         (i) the Packet Content;        (ii) information derived from the packet's treatment at the             Observation Point;       (iii) any Selection State that may be maintained by the Selection             Process.   * Composite Selector      A Composite Selector is an ordered composition of Selectors, in      which the output Packet Stream issuing from one Selector forms the      input Packet Stream to the succeeding Selector.Zseby, et al.               Standards Track                     [Page 6]

RFC 5475           Techniques for IP Packet Selection         March 2009   * Primitive Selector      A Selector is primitive if it is not a Composite Selector.   * Selection Sequence      From all the packets observed at an Observation Point, only a few      packets are selected by one or more Selectors.  The Selection      Sequence is a unique value per Observation Domain describing the      Observation Point and the Selector IDs through which the packets      are selected.3.3.  Reporting   * Packet Reports      Packet Reports comprise a configurable subset of a packet's input      to the Selection Process, including the Packet's Content,      information relating to its treatment (for example, the output      interface), and its associated Selection State (for example, a      hash of the Packet's Content).   * Report Interpretation      Report Interpretation comprises subsidiary information, relating      to one or more packets, that is used for interpretation of their      Packet Reports.  Examples include configuration parameters of the      Selection Process.   * Report Stream      The Report Stream is the output of a Metering Process, comprising      two distinguished types of information: Packet Reports and Report      Interpretation.3.4.  Metering Process   A Metering Process selects packets from the Observed Packet Stream   using a Selection Process, and produces as output a Report Stream   concerning the selected packets.   The PSAMP Metering Process can be viewed as analogous to the IPFIX   Metering Process [RFC5101], which produces Flow Records as its   output, with the difference that the PSAMP Metering Process always   contains a Selection Process.  The relationship between PSAMP and   IPFIX is further described in [RFC5477] and [RFC5474].Zseby, et al.               Standards Track                     [Page 7]

RFC 5475           Techniques for IP Packet Selection         March 20093.5.  Exporting Process   * Exporting Process      An Exporting Process sends, in the form of Export Packets, the      output of one or more Metering Processes to one or more      Collectors.   * Export Packet      An Export Packet is a combination of Report Interpretations and/or      one or more Packet Reports that are bundled by the Exporting      Process into an Export Packet for exporting to a Collector.3.6.  PSAMP Device   * PSAMP Device      A PSAMP Device is a device hosting at least an Observation Point,      a Metering Process (which includes a Selection Process), and an      Exporting Process.  Typically, corresponding Observation Point(s),      Metering Process(es), and Exporting Process(es) are colocated at      this device, for example, at a router.3.7.  Collector   * Collector      A Collector receives a Report Stream exported by one or more      Exporting Processes.  In some cases, the host of the Metering      and/or Exporting Processes may also serve as the Collector.3.8.  Selection Methods   * Filtering      A filter is a Selector that selects a packet deterministically      based on the Packet Content, or its treatment, or functions of      these occurring in the Selection State.  Two examples are:         (i) Property Match Filtering: A packet is selected if a             specific field in the packet equals a predefined value.        (ii) Hash-based Selection: A Hash Function is applied to the             Packet Content, and the packet is selected if the result             falls in a specified range.Zseby, et al.               Standards Track                     [Page 8]

RFC 5475           Techniques for IP Packet Selection         March 2009   * Sampling      A Selector that is not a filter is called a Sampling operation.      This reflects the intuitive notion that if the selection of a      packet cannot be determined from its content alone, there must be      some type of Sampling taking place.  Sampling operations can be      divided into two subtypes:         (i) Content-independent Sampling, which does not use Packet             Content in reaching Sampling decisions.  Examples include             systematic Sampling, and uniform pseudorandom Sampling             driven by a pseudorandom number whose generation is             independent of Packet Content.  Note that in content-             independent Sampling, it is not necessary to access the             Packet Content in order to make the selection decision.        (ii) Content-dependent Sampling, in which the Packet Content is             used in reaching selection decisions.  An application is             pseudorandom selection according to a probability that             depends on the contents of a packet field, e.g., Sampling             packets with a probability dependent on their TCP/UDP port             numbers.  Note that this is not a Filter.   * Hash Domain      A Hash Domain is a subset of the Packet Content and the packet      treatment, viewed as an N-bit string for some positive integer N.   * Hash Range      A Hash Range is a set of M-bit strings for some positive integer M      that defines the range of values that the result of the hash      operation can take.   * Hash Function      A Hash Function defines a deterministic mapping from the Hash      Domain into the Hash Range.   * Hash Selection Range      A Hash Selection Range is a subset of the Hash Range.  The packet      is selected if the action of the Hash Function on the Hash Domain      for the packet yields a result in the Hash Selection Range.Zseby, et al.               Standards Track                     [Page 9]

RFC 5475           Techniques for IP Packet Selection         March 2009   * Hash-based Selection      A Hash-based Selection is Filtering specified by a Hash Domain, a      Hash Function, a Hash Range, and a Hash Selection Range.   * Approximative Selection      Selectors in any of the above categories may be approximated by      operations in the same or another category for the purposes of      implementation.  For example, uniform pseudorandom Sampling may be      approximated by Hash-based Selection, using a suitable Hash      Function and Hash Domain.  In this case, the closeness of the      approximation depends on the choice of Hash Function and Hash      Domain.   * Population      A Population is a Packet Stream or a subset of a Packet Stream.  A      Population can be considered as a base set from which packets are      selected.  An example is all packets in the Observed Packet Stream      that are observed within some specified time interval.   * Population Size      The Population Size is the number of all packets in the      Population.   * Sample Size      The Sample Size is a number of packets selected from the      Population by a Selector.   * Configured Selection Fraction      The Configured Selection Fraction is the expected ratio of the      Sample Size to the Population Size, as based on the configured      selection parameters.   * Attained Selection Fraction      The Attained Selection Fraction is the ratio of the actual Sample      Size to the Population Size.  For some Sampling methods, the      Attained Selection Fraction can differ from the Configured      Selection Fraction due to, for example, the inherent statistical      variability in Sampling decisions of probabilistic Sampling and      Hash-based Selection.  Nevertheless, for large Population Sizes      and properly configured Selectors, the Attained Selection Fraction      usually approaches the Configured Selection Fraction.Zseby, et al.               Standards Track                    [Page 10]

RFC 5475           Techniques for IP Packet Selection         March 20094.  Categorization of Packet Selection Techniques   Packet selection techniques generate a subset of packets from an   Observed Packet Stream at an Observation Point.  We distinguish   between Sampling and Filtering.   Sampling is targeted at the selection of a representative subset of   packets.  The subset is used to infer knowledge about the whole set   of observed packets without processing them all.  The selection can   depend on packet position, and/or on Packet Content, and/or on   (pseudo) random decisions.   Filtering selects a subset with common properties.  This is used if   only a subset of packets is of interest.  The properties can be   directly derived from the Packet Content, or depend on the treatment   given by the router to the packet.  Filtering is a deterministic   operation.  It depends on Packet Content or router treatment.  It   never depends on packet position or on (pseudo) random decisions.   Note that a common technique to select packets is to compute a Hash   Function on some bits of the packet header and/or content and to   select it if the hash value falls in the Hash Selection Range.  Since   hashing is a deterministic operation on the Packet Content, it is a   Filtering technique according to our categorization.  Nevertheless,   Hash Functions are sometimes used to emulate random Sampling.   Depending on the chosen input bits, the Hash Function, and the Hash   Selection Range, this technique can be used to emulate the random   selection of packets with a given probability p.  It is also a   powerful technique to consistently select the same packet subset at   multiple Observation Points [DuGr00].   The following table gives an overview of the schemes described in   this document and their categorization.  X means that the   characteristic applies to the selection scheme.  (X) denotes schemes   for which content-dependent and content-independent variants exist.   For instance, Property Match Filtering is typically based on Packet   Content and therefore is content dependent.  But as explained inSection 6.1, it may also depend on router state and then would be   independent of the content.  It easily can be seen that only schemes   with both properties, content dependence and deterministic selection,   are considered as Filters.Zseby, et al.               Standards Track                    [Page 11]

RFC 5475           Techniques for IP Packet Selection         March 2009        Selection Scheme   | Deterministic | Content -| Category                           |  Selection    | Dependent|   ------------------------+---------------+----------+----------    Systematic             |       X       |     _    | Sampling    Count-based            |               |          |   ------------------------+---------------+----------+----------    Systematic             |       X       |     -    | Sampling    Time-based             |               |          |   ------------------------+---------------+----------+----------    Random                 |       -       |     -    | Sampling    n-out-of-N             |               |          |   ------------------------+---------------+----------+----------    Random                 |       -       |     -    | Sampling    uniform probabilistic  |               |          |   ------------------------+---------------+----------+----------    Random                 |       -       |    (X)   | Sampling    non-uniform probabil.  |               |          |   ------------------------+---------------+----------+----------    Random                 |       -       |    (X)   | Sampling    non-uniform Flow-State |               |          |   ------------------------+---------------+----------+----------    Property Match         |       X       |    (X)   | Filtering    Filtering              |               |          |   ------------------------+---------------+----------+----------    Hash function          |       X       |     X    | Filtering   ------------------------+---------------+----------+----------   The categorization just introduced is mainly useful for the   definition of an information model describing Primitive Selectors.   More complex selection techniques can be described through the   composition of cascaded Sampling and Filtering operations.  For   example, a packet selection that weights the selection probability on   the basis of the packet length can be described as a cascade of a   Filtering and a Sampling scheme.  However, this descriptive approach   is not intended to be rigid: if a common and consolidated selection   practice turns out to be too complex to be described as a composition   of the mentioned building blocks, an ad hoc description can be   specified instead and added as a new scheme to the information model.5.  Sampling   The deployment of Sampling techniques aims at the provisioning of   information about a specific characteristic of the parent Population   at a lower cost than a full census would demand.  In order to plan a   suitable Sampling strategy, it is therefore crucial to determine the   needed type of information and the desired degree of accuracy in   advance.Zseby, et al.               Standards Track                    [Page 12]

RFC 5475           Techniques for IP Packet Selection         March 2009   First of all, it is important to know the type of metric that should   be estimated.  The metric of interest can range from simple packet   counts [JePP92] up to the estimation of whole distributions of flow   characteristics (e.g., packet sizes) [ClPB93].   Second, the required accuracy of the information and with this, the   confidence that is aimed at, should be known in advance.  For   instance, for usage-based accounting the required confidence for the   estimation of packet counters can depend on the monetary value that   corresponds to the transfer of one packet.  That means that a higher   confidence could be required for expensive packet flows (e.g.,   premium IP service) than for cheaper flows (e.g., best effort).  The   accuracy requirements for validating a previously agreed quality can   also vary extremely with the customer demands.  These requirements   are usually determined by the service level agreement (SLA).   The Sampling method and the parameters in use must be clearly   communicated to all applications that use the measurement data.  Only   with this knowledge a correct interpretation of the measurement   results can be ensured.   Sampling methods can be characterized by the Sampling algorithm, the   trigger type used for starting a Sampling interval, and the length of   the Sampling interval.  These parameters are described here in   detail.  The Sampling algorithm describes the basic process for   selection of samples.  In accordance to [AmCa89] and [ClPB93], we   define the following basic Sampling processes.5.1.  Systematic Sampling   Systematic Sampling describes the process of selecting the start   points and the duration of the selection intervals according to a   deterministic function.  This can be for instance the periodic   selection of every k-th element of a trace but also the selection of   all packets that arrive at predefined points in time.  Even if the   selection process does not follow a periodic function (e.g., if the   time between the Sampling intervals varies over time), we consider   this as systematic Sampling as long as the selection is   deterministic.   The use of systematic Sampling always involves the risk of biasing   the results.  If the systematics in the Sampling process resemble   systematics in the observed stochastic process (occurrence of the   characteristic of interest in the network), there is a high   probability that the estimation will be biased.  Systematics in the   observed process might not be known in advance.Zseby, et al.               Standards Track                    [Page 13]

RFC 5475           Techniques for IP Packet Selection         March 2009   Here only equally spaced schemes are considered, where triggers for   Sampling are periodic, either in time or in packet count.  All   packets occurring in a selection interval (either in time or packet   count) beyond the trigger are selected.   Systematic count-based   In systematic count-based Sampling, the start and stop triggers for   the Sampling interval are defined in accordance to the spatial packet   position (packet count).   Systematic time-based   In systematic time-based Sampling, time-based start and stop triggers   are used to define the Sampling intervals.  All packets are selected   that arrive at the Observation Point within the time intervals   defined by the start and stop triggers (i.e., arrival time of the   packet is larger than the start time and smaller than the stop time).   Both schemes are content-independent selection schemes.  Content-   dependent deterministic Selectors are categorized as filters.5.2.  Random Sampling   Random Sampling selects the starting points of the Sampling intervals   in accordance to a random process.  The selection of elements is an   independent experiment.  With this, unbiased estimations can be   achieved.  In contrast to systematic Sampling, random Sampling   requires the generation of random numbers.  One can differentiate two   methods of random Sampling: n-out-of-N Sampling and probabilistic   Sampling.5.2.1.  n-out-of-N Sampling   In n-out-of-N Sampling, n elements are selected out of the parent   Population that consists of N elements.  One example would be to   generate n different random numbers in the range [1,N] and select all   packets that have a packet position equal to one of the random   numbers.  For this kind of Sampling, the Sample Size n is fixed.5.2.2.  Probabilistic Sampling   In probabilistic Sampling, the decision whether or not an element is   selected is made in accordance to a predefined selection probability.   An example would be to flip a coin for each packet and select all   packets for which the coin showed the head.  For this kind of   Sampling, the Sample Size can vary for different trials.  The   selection probability does not necessarily have to be the same for   each packet.  Therefore, we distinguish between uniform probabilistic   Sampling (with the same selection probability for all packets) andZseby, et al.               Standards Track                    [Page 14]

RFC 5475           Techniques for IP Packet Selection         March 2009   non-uniform probabilistic Sampling (where the selection probability   can vary for different packets).5.2.2.1.  Uniform Probabilistic Sampling   For Uniform Probabilistic Sampling, packets are selected   independently with a uniform probability p.  This Sampling can be   count-driven, and is sometimes referred to as geometric random   Sampling, since the difference in count between successive selected   packets is an independent random variable with a geometric   distribution of mean 1/p.  A time-driven analog, exponential random   Sampling, has the time between triggers exponentially distributed.   Both geometric and exponential random Sampling are examples of what   is known as additive random Sampling, defined as Sampling where the   intervals or counts between successive samples are independent   identically distributed random variables.5.2.2.2.  Non-Uniform Probabilistic Sampling   This is a variant of Probabilistic Sampling in which the Sampling   probabilities can depend on the selection process input.  This can be   used to weight Sampling probabilities in order, e.g., to boost the   chance of Sampling packets that are rare but are deemed important.   Unbiased estimators for quantitative statistics are recovered by   re-normalization of sample values; see [HT52].5.2.2.3.  Non-Uniform Flow State Dependent Sampling   Another type of Sampling that can be classified as probabilistic   Non-Uniform is closely related to the flow concept as defined in   [RFC3917], and it is only used jointly with a flow monitoring   function (IPFIX Metering Process).  Packets are selected, dependent   on a Selection State.  The point, here, is that the Selection State   is determined also by the state of the flow the packet belongs to   and/or by the state of the other flows currently being monitored by   the associated flow monitoring function.  An example for such an   algorithm is the "sample and hold" method described in [EsVa01]:   - If a packet accounts for a Flow Record that already exists in the     IPFIX flow recording process, it is selected (i.e., the Flow Record     is updated).   - If a packet doesn't account for any existing Flow Record, it is     selected with probability p.  If it has been selected, a new Flow     Record has to be created.Zseby, et al.               Standards Track                    [Page 15]

RFC 5475           Techniques for IP Packet Selection         March 2009   A further algorithm that fits into the category of non-uniform flow   state dependent Sampling is described in [Moli03].   This type of Sampling is content dependent because the identification   of the flow the packet belongs to requires analyzing part of the   Packet Content.  If the packet is selected, then it is passed as an   input to the IPFIX monitoring function (this is called "Local Export"   in [RFC5474]).  Selecting the packet depending on the state of a flow   cache is useful when memory resources of the flow monitoring function   are scarce (i.e., there is no room to keep all the flows that have   been scheduled for monitoring).5.2.2.4.  Configuration of Non-Uniform Probabilistic and Flow State          Sampling   Many different specific methods can be grouped under the terms   non-uniform probabilistic and flow state Sampling.  Dependent on the   Sampling goal and the implemented scheme, a different number and type   of input parameters are required to configure such a scheme.   Some concrete proposals for such methods exist from the research   community (e.g., [EsVa01], [DuLT01], [Moli03]).  Some of these   proposals are still in an early stage and need further investigations   to prove their usefulness and applicability.  It is not our aim to   indicate preference among these methods.  Instead, we only describe   here the basic methods and leave the specification of explicit   schemes and their parameters up to vendors (e.g., as an extension of   the information model).6.  Filtering   Filtering is the deterministic selection of packets based on the   Packet Content, the treatment of the packet at the Observation Point,   or deterministic functions of these occurring in the Selection State.   The packet is selected if these quantities fall into a specified   range.  The role of Filtering, as the word itself suggest, is to   separate all the packets having a certain property from those not   having it.  A distinguishing characteristic from Sampling is that the   selection decision does not depend on the packet position in time or   in space, or on a random process.   We identify and describe in the following two Filtering techniques.6.1.  Property Match Filtering   With this Filtering method, a packet is selected if specific fields   within the packet and/or properties of the router state equal a   predefined value.  Possible filter fields are all IPFIX flowZseby, et al.               Standards Track                    [Page 16]

RFC 5475           Techniques for IP Packet Selection         March 2009   attributes specified in [RFC5102].  Further fields can be defined by   proposing new information elements or defining vendor-specific   extensions.   A packet is selected if Field=Value.  Masks and ranges are only   supported to the extent to which [RFC5102] allows them, e.g., by   providing explicit fields like the netmasks for source and   destination addresses.   AND operations are possible by concatenating filters, thus producing   a composite selection operation.  In this case, the ordering in which   the Filtering happens is implicitly defined (outer filters come after   inner filters).  However, as long as the concatenation is on filters   only, the result of the cascaded filter is independent from the   order, but the order may be important for implementation purposes, as   the first filter will have to work at a higher rate.  In any case, an   implementation is not constrained to respect the filter ordering, as   long as the result is the same, and it may even implement the   composite Filtering in one single step.   OR operations are not supported with this basic model.  More   sophisticated filters (e.g., supporting bitmasks, ranges, or OR   operations) can be realized as vendor-specific schemes.   All IPFIX flow attributes defined in [RFC5102] can be used for   Property Match Filtering.  Further information elements can be easily   defined.  Property match operations should be available for different   protocol portions of the packet header:         (i) IP header (excluding options in IPv4, stacked headers in             IPv6)        (ii) transport protocol header (e.g., TCP, UDP)       (iii) encapsulation headers (e.g., the MPLS label stack, if             present)   When the PSAMP Device offers Property Match Filtering, and, in its   usual capacity other than in performing PSAMP functions, identifies   or processes information from IP, transport protocol or encapsulation   protocols, then the information should be made available for   Filtering.  For example, when a PSAMP Device routes based on   destination IP address, that field should be made available for   Filtering.  Conversely, a PSAMP Device that does not route is not   expected to be able to locate an IP address within a packet, or make   it available for Filtering, although it may do so.Zseby, et al.               Standards Track                    [Page 17]

RFC 5475           Techniques for IP Packet Selection         March 2009   Since packet encryption conceals the real values of encrypted fields,   Property Match Filtering must be configurable to ignore encrypted   packets, when detected.   The Selection Process may support Filtering based on the properties   of the router state:         (i) Ingress interface at which a packet arrives equals a             specified value        (ii) Egress interface to which a packet is routed to equals a             specified value       (iii) Packet violated Access Control List (ACL) on the router        (iv) Failed Reverse Path Forwarding (RPF)         (v) Failed Resource Reservation Protocol (RSVP)        (vi) No route found for the packet       (vii) Origin Border Gateway Protocol (BGP) Autonomous System (AS)             [RFC4271] equals a specified value or lies within a given             range      (viii) Destination BGP AS equals a specified value or lies within             a given range   Packets that match the failed Reverse Path Forwarding (RPF) condition   are packets for which ingress Filtering failed as defined in   [RFC3704].   Packets that match the failed Resource Reservation Protocol (RSVP)   condition are packets that do not fulfill the RSVP specification as   defined in [RFC2205].   Router architectural considerations may preclude some information   concerning the packet treatment being available at line rate for   selection of packets.  For example, the Selection Process may not be   implemented in the fast path that is able to access router state at   line rate.  However, when Filtering follows Sampling (or some other   selection operation) in a Composite Selector, the rate of the Packet   Stream output from the sampler and input to the filter may be   sufficiently slow that the filter could select based on router state.Zseby, et al.               Standards Track                    [Page 18]

RFC 5475           Techniques for IP Packet Selection         March 20096.2.  Hash-Based Filtering   A Hash Function h maps the Packet Content c, or some portion of it,   onto a Hash Range R.  The packet is selected if h(c) is an element of   S, which is a subset of R called the Hash Selection Range.  Thus,   Hash-Based selection is a particular case of Filtering.  The object   is selected if c is in inv(h(S)).  But for desirable Hash Functions,   the inverse image inv(h(S)) will be extremely complex, and hence h   would not be expressible as, say, a Property Match Filter or a simple   combination of these.   Hash-based Selection is mainly used to realize a coordinated packet   selection.  That means that the same packets are selected at   different Observation Points.  This is useful for instance to observe   the path (trajectory) that a packet took through the network or to   apply packet selection to passive one-way measurements.   A prerequisite for the method to work and to ensure interoperability   is that the same Hash Function with the same parameters (e.g., input   vector) is used at the Observation Points.   A consistent packet selection is also possible with Property Match   Filtering.  Nevertheless, Hash-based Selection can be used to   approximate a random selection.  The desired statistical properties   are discussed inSection 6.2.2.   In the following subsections, we give some application examples for   coordinated packet selection.6.2.1.  Application Examples for Coordinated Packet Selection6.2.1.1.  Trajectory Sampling   Trajectory Sampling is the consistent selection of a subset of   packets at either all of a set of Observation Points or none of them.   Trajectory Sampling is realized by Hash-based Selection if all   Observation Points in the set use a common Hash Function, Hash   Domain, and Selection Range.  The Hash Domain comprises all or part   of the Packet Content that is invariant along the packet path.   Fields such as Time-to-Live, which is decremented per hop, and header   CRC [RFC1624], which is recalculated per hop, are thus excluded from   the Hash Domain.  The Hash Domain needs to be wider than just a flow   key, if packets are to be selected quasi-randomly within flows.   The trajectory (or path) followed by a packet is reconstructed from   PSAMP reports on it that reach a Collector.  Reports on a given   packet originating from different Observation Points are associated   by matching a label from the reports.  The label may comprise thatZseby, et al.               Standards Track                    [Page 19]

RFC 5475           Techniques for IP Packet Selection         March 2009   portion of the invariant Packet Content that is reported, or possibly   some digest of the invariant Packet Content that is inserted into the   packet report at the Observation Point.  Such a digest may be   constructed by applying a second Hash Function to the invariant   Packet Content.  The reconstruction of trajectories and methods for   dealing with possible ambiguities due to label collisions (identical   labels reported for different packets) and potential loss of reports   in transmission are dealt with in [DuGr00], [DuGG02], and [DuGr04].   Applications of trajectory Sampling include (i) estimation of the   network path matrix, i.e., the traffic intensities according to   network path, broken down by flow key; (ii) detection of routing   loops, as indicated by self-intersecting trajectories; (iii) passive   performance measurement: prematurely terminating trajectories   indicate packet loss, packet one-way delay can be determined if   reports include (synchronized) timestamps of packet arrival at the   Observation Point; and (iv) network attack tracing, of the actual   paths taken by attack packets with spoofed source addresses.6.2.1.2.  Passive One-Way Measurements   Coordinated packet selection can be applied for instance to one-way   delay measurements in order to reduce the required resources.  In   one-way delay measurements, packets are collected at different   Observation Points in the network.  A packet digest is generated for   each packet that helps to identify the packet.  The packet digest and   the arrival time of the packet at the Observation Point are reported   to a process that calculates the delay.  The delay is calculated by   subtracting the arrival time of the same packet at the Observation   Points (e.g., [ZsZC01]).  With high data rates, capturing all packets   can require a lot of resources for storage, transfer, and processing.   To reduce resource consumption, packet selection methods can be   applied.  But for such selection techniques, it has to be ensured   that the same packets are collected at different Observation Points.   Hash-based Selection provides this feature.6.2.1.3.  Generation of Pseudorandom Numbers   Although pseudorandom number generators with well-understood   properties have been developed, they may not be the method of choice   in settings where computational resources are scarce.  A convenient   alternative is to use Hash Functions of Packet Content as a source of   randomness.  The hash (suitably re-normalized) is a pseudorandom   variate in the interval [0,1].  Other schemes may use packet fields   in iterators for pseudorandom numbers.  However, the statistical   properties of an ideal packet selection law (such as independentZseby, et al.               Standards Track                    [Page 20]

RFC 5475           Techniques for IP Packet Selection         March 2009   Sampling for different packets, or independence on Packet Content)   may not be exactly rendered by an implementation, but only   approximately so.   Use of Packet Content to generate pseudorandom variates shares with   non-uniform probabilistic Sampling (seeSection 5.2.2.2 above) the   property that selection decisions depend on Packet Content.  However,   there is a fundamental difference between the two.  In the former   case, the content determines pseudorandom variates.  In the latter   case, the content only determines the selection probabilities:   selection could then proceed, e.g., by use of random variates   obtained by an independent pseudorandom number generator.6.2.2.  Desired Properties of Hash Functions   Here we formulate desired properties for Hash Functions.  For this,   we have to distinguish whether a Hash Function is used for packet   selection or just as a packet digest.  The main focus of this   document is on packet selection.  Nevertheless, we also provide some   requirements for the use of Hash Functions as packet digest.   First of all, we need to define suitable input fields from the   packet.  In accordance to [DuGr00], input field should be:      - invariant on the path      - variable among packets   Only if the input fields are the same at different Observation Points   is it possible to recognize the packet.  The input fields should be   variable among packets in order to distribute the hash results over   the selection range.6.2.2.1.  Requirements for Packet Selection   In accordance to considerations in [MoND05] and [Henk08], we define   the following desired properties of Hash Functions used for packet   selection:         (i) Speed: The Hash Function has to be applied to each packet             that traverses the Observation Point.  Therefore, it has to             be fast in order to cope with the high packet rates.  In             the ideal case, the hash operation should not influence the             performance on the PSAMP Device.Zseby, et al.               Standards Track                    [Page 21]

RFC 5475           Techniques for IP Packet Selection         March 2009        (ii) Uniformity: The Hash Function h should have good mixing             properties, in the sense that small changes in the input             (e.g., the flipping of a single bit) cause large changes in             the output (many bits change).  Then any local clump of             values of c is spread widely over R by h, and so the             distribution of h(c) is fairly uniform even if the             distribution of c is not.  Then the Attained Selection             Fraction gets close to the Configured Selection Fraction             (#S/#R), which can be tuned by choice of S.       (iii) Unbiasedness: The selection decision should be as             independent of packet attributes as possible.  The set of             selected packets should not be biased towards a specific             type of packets.        (iv) Representativeness of sample: The sample should be as             representative as possible for the observed traffic.         (v) Non-linearity: The function should not be linear.  This             increases the mixing properties (uniformity criterion).  In             addition to this, it decreases the predictability of the             output and therefore the vulnerabilities against attacks.        (vi) Robustness against vulnerabilities: The Hash Function             should be robust against attacks.  Potential             vulnerabilities are described inSection 6.2.3.6.2.2.2.  Requirements for Packet Digesting   For digesting Packet Content for inclusion in a reported label, the   most important property is a low collision frequency.  A secondary   requirement is the ability to accept variable-length input, in order   to allow inclusion of maximal amount of packet as input.  Execution   speed is of secondary importance, since the digest need only be   formed from selected packets.6.2.3.  Security Considerations for Hash Functions   A concern for Hash-based Selection is whether some large set of   related packets could be disproportionately sampled, i.e., that the   Attained Selection Fraction is significantly different from the   Configured Selection Fraction.  This can happen either         (i)  through unanticipated behavior in the Hash Function, or        (ii) because the packets had been deliberately crafted to have             this property.Zseby, et al.               Standards Track                    [Page 22]

RFC 5475           Techniques for IP Packet Selection         March 2009   The first point underlines the importance of using a Hash Function   with good mixing properties.  For this, the statistical properties of   candidate Hash Functions need to be evaluated.  Since the hash output   depends on the traffic mix, the evaluation should be done preferably   on up-to-date packet traces from the network in which the Hash-based   Selection will be deployed.   However, Hash Functions that perform well on typical traffic may not   be sufficiently strong to withstand attacks specifically targeted   against them.  Such potential attacks have been described in   [GoRe07].   In the following subsections, we point out different potential attack   scenarios.  We encourage the use of standardized Hash Functions.   Therefore, we assume that the Hash Function itself is public and   hence known to an attacker.   Nevertheless, we also assume the possibility of using a private input   parameter for the Hash Function that is kept secret.  Such an input   parameter can for instance be attached to the hash input before the   hash operation is applied.  With this, at least parts of the hash   operation remain secret.   For the attack scenarios, we assume that an attacker uses its   knowledge of the Hash Function to craft packets that are then   dispatched, either as the attack itself or to elicit further   information that can be used to refine the attack.   Two scenarios are considered.  In the first scenario, the attacker   has no knowledge about whether or not the crafted packets are   selected.  In the second scenario, the attacker uses some knowledge   of Sampling outcomes.  The means by which this might be acquired is   discussed below.  Some additional attacks that involve tampering with   Export Packets in transit, as opposed to attacking the PSAMP Device,   are discussed in [GoRe07].6.2.3.1.  Vulnerabilities of Hash-Based Selection without Knowledge of          Selection Outcomes      (i) The Hash Function does not use a private parameter.   If no private input parameter is used, potential attackers can easily   calculate which packets result in which hash values.  If the   selection range is public, an attacker can craft packets whose   selection properties are known in advance.  If the selection range is   private, an attacker cannot determine whether a crafted packet is   selected.  However, by computing the hash on different trial crafted   packets, and selecting those yielding a given hash value, theZseby, et al.               Standards Track                    [Page 23]

RFC 5475           Techniques for IP Packet Selection         March 2009   attacker can construct an arbitrarily large set of distinct packets   with a common selection properties, i.e., packets that will be either   all selected or all not selected.  This can be done whatever the   strength of the Hash Function.      (ii) The Hash Function is not cryptographically strong.   If the Hash Function is not cryptographically strong, it may be   possible to construct sequences of distinct packets with the common   selection property even if a private parameter is used.   An example is the standard CRC-32 Hash Function used with a private   modulus (but without a private string post-pended to the input).  It   has weak mixing properties for low-order bits.  Consequently, simply   by incrementing the hash input, one obtains distinct packets whose   hashes mostly fall in a narrow range, and hence are likely commonly   selected; see [GoRe07].   Suitable parameterization of the Hash Function can make such attacks   more difficult.  For example, post-pending a private string to the   input before hashing with CRC-32 will give stronger mixing properties   over all bits of the input.  However, with a Hash Function, such as   CRC-32, that is not cryptographically strong, the possibility of   discovering a method to construct packet sets with the common   selected property cannot be ruled out, even when a private modulus or   post-pended string is used.6.2.3.2.  Vulnerabilities of Hash-Based Selection Using Knowledge of          Selection Outcomes   Knowledge of the selection outcomes of crafted packets can be used by   an attacker to more easily construct sets of packets that are   disproportionately sampled and/or are commonly selected.  For this,   the attacker does not need any a priori knowledge about the Hash   Function or selection range.   There are several ways an attacker might acquire this knowledge about   the selection outcome:         (i) Billing Reports: If samples are used for billing purposes,             then the selection outcomes of packets may be able to be             inferred by correlating a crafted Packet Stream with the             billing reports that it generates.  However, the rate at             which knowledge of selection outcomes can be acquired             depends on the temporal and spatial granularity of the             billing reports; being slower the more aggregated the             reports are.Zseby, et al.               Standards Track                    [Page 24]

RFC 5475           Techniques for IP Packet Selection         March 2009        (ii) Feedback from an Intrusion Detection System: e.g., a             botmaster adversary learns if his packets were detected by             the intrusion detection system by seeing if one of his bots             is blocked by the network.       (iii) Observation of the Report Stream: Export Packets sent             across a public network may be eavesdropped on by an             adversary.  Encryption of the Export Packets provides only             a partial defense, since it may be possible to infer the             selection outcomes of packets by correlating a crafted             Packet Stream with the occurrence (not the content) of             packets in the export stream that it generates.  The rate             at which such knowledge could be acquired is limited by the             temporal resolution at which reports can be associated with             packets, e.g., due to processing and propagation             variability, and difficulty in distinguishing report on             attack packets from those of background traffic, if             present.  The association between packets and their reports             on which this depends could be removed by padding Export             Packets to a constant length and sending them at a constant             rate.   We now turn to attacks that can exploit knowledge of selection   outcomes.  First, with a non-cryptographic Hash Function, knowledge   of selection outcomes for a trial stream may be used to further craft   a packet set with the common selection property.  This has been   demonstrated for the modular hash f(x) = a x + b mod k, for private   parameters a, b, and k.  With Sampling rate p, knowledge of the   Sampling outcomes of roughly 2/p is sufficient for the attack to   succeed, independent of the values of a, b, and k.  With knowledge of   the selection outcomes of a larger number of packets, the parameters   a, b, and k can be determined; see [GoRe07].   A cryptographic Hash Function employing a private parameter and   operating in one of the pseudorandom function modes specified above   is not vulnerable to these attacks, even if the selection range is   known.6.2.3.3.  Vulnerabilities to Replay Attacks   Since Hash-based Selection is deterministic, any packet or set of   packets with known selection properties can be replayed into a   network and experience the same selection outcomes provide the Hash   Function and its parameters are not changed.  Repetition of a single   packet may be noticeable to other measurement methods if employed   (e.g., collection of flow statistics), whereas a set of distinct   packets that appears statistically similar to regular traffic may be   less noticeable.Zseby, et al.               Standards Track                    [Page 25]

RFC 5475           Techniques for IP Packet Selection         March 2009   Replay attacks may be mitigated by repeated changing of Hash Function   parameters.  This also prevents attacks that exploit knowledge of   Sampling outcomes, at least if the parameters are changed at least as   fast as the knowledge can be acquired by an attacker.  In order to   preserve the ability to perform trajectory Sampling, parameter change   would have to be simultaneous (or approximately so) across all   Observation Points.6.2.4.  Choice of Hash Function   The specific choice of Hash Function represents a trade-off between   complexity and ease of implementation.  Ideally, a cryptographically   strong Hash Function employing a private parameter and operating in   pseudorandom function mode as specified above would be used, yielding   a good emulation of a random packet selection at a target Sampling   rate, and giving maximal robustness against the attacks described in   the previous section.  Unfortunately, there is currently no single   Hash Function that fulfills all the requirements.   As detailed inSection 6.2.3, only cryptographic Hash Functions   employing a private parameter operating in pseudorandom function mode   are sufficiently strong to withstand the range of conceivable   attacks.  For example, fixed- or variable-length inputs could be   hashed using a block cipher (like Advanced Encryption Standard (AES))   in cipher-block-chaining mode.  Fixed-length inputs could also be   hashed using an iterated cryptographic Hash Function (like MD5 or   SHA1), with a private initial vector.  For variable-length inputs, an   iterated cryptographic Hash Function (like MD5 or SHA1) should employ   private string post-pended to the data in addition to a private   initial vector.  For more details, see the "append-cascade"   construction of [BeCK96].  We encourage the use of such   cryptographically strong Hash Functions wherever possible.   However, a problem with using such functions is the low performance.   As shown for instance in [Henk08], the computation times for MD5 and   SHA are about 7-10 times higher compared to non-cryptographic   functions.  The difference increases for small hash input lengths.   Therefore, it is not assumed that all PSAMP Devices will be capable   of applying a cryptographically strong Hash Function to every packet   at line rate.  For this reason, the Hash Functions listed in this   section will be of a weaker variety.  Future protocol extensions that   employ stronger Hash Functions are highly welcome.   Comparisons of Hash Functions for packet selection and packet   digesting with regard to various criteria can be found in [MoND05]   and [Henk08].Zseby, et al.               Standards Track                    [Page 26]

RFC 5475           Techniques for IP Packet Selection         March 20096.2.4.1.  Hash Functions for Packet Selection   If Hash-based packet Selection is applied, the BOB function MUST be   used for packet selection operations in order to be compliant with   PSAMP.  The specification of BOB is given in the appendix.  Both the   parameter (the init value) and the selection range should be kept   private.  The initial vector of the Hash Function MUST be   configurable out of band to prevent security breaches like exposure   of the initial vector content.   Other functions, such as CRC-32 and IPSX, MAY be used.  The IPSX   function is described in the appendix, and the CRC-32 function is   described in [RFC1141].  If CRC-32 is used, the input should first be   post-pended with a private string that acts as a parameter, and the   modulus of the CRC should also be kept private.   IPSX is simple to implement and was correspondingly about an order of   magnitude faster to execute per packet than BOB or CRC-32 [MoND05].   All three Hash Functions evaluated showed relatively poor uniformity   with 16-byte input that was drawn from only invariant fields in the   IP and TCP/UDP headers (i.e., header fields that do not change from   hop to hop).  IPSX is inherently limited to 16 bytes.   BOB and CRC-32 exhibit noticeably better uniformity when 4 or more   bytes from the payload are also included in the input [MoND05].  Also   with other criteria BOB performed quite well [Henk08].   Although the characteristics have been checked for different traffic   traces, results cannot be generalized to arbitrary traffic.  Since   Hash-based Selection is a deterministic function on the Packet   Content, it can always be biased towards packets with specific   attributes.  Furthermore, it should be noted that all Hash Functions   were evaluated only for IPv4.   None of these Hash Functions is recommended for cryptographic   purposes.  Please also note that the use of a private parameter only   slightly reduces the vulnerabilities against attacks.  As shown inSection 6.2.3, functions that are not cryptographically strong (e.g.,   BOB and CRC) cannot prevent attackers from crafting packets that are   disproportionally selected even if a private parameter is used and   the selection range is kept secret.   As described inSection 6.2.2, the input bytes for the Hash Function   need to be invariant along the path the packet is traveling.  Only   with this it is ensured that the same packets are selected atZseby, et al.               Standards Track                    [Page 27]

RFC 5475           Techniques for IP Packet Selection         March 2009   different Observation Points.  Furthermore, they should have a high   variability between different packets to generate a high variation in   the Hash Range.  An evaluation of the variability of different packet   header fields can be found in [DuGr00], [HeSZ08], and [Henk08].   If a Hash-based Selection with the BOB function is used with IPv4   traffic, the following input bytes MUST be used.      - IP identification field      - Flags field      - Fragment offset      - Source IP address      - Destination IP address      - A configurable number of bytes from the IP payload, starting at        a configurable offset   Due to the lack of suitable IPv6 packet traces, all candidate Hash   Functions in [DuGr00], [MoND05], and [Henk08] were evaluated only for   IPv4.  Due to the IPv6 header fields and address structure, it is   expected that there is less randomness in IPv6 packet headers than in   IPv4 headers.  Nevertheless, the randomness of IPv6 traffic has not   yet been evaluated sufficiently to get any evidence.  In addition to   this, IPv6 traffic profiles may change significantly in the future   when IPv6 is used by a broader community.   If a Hash-based Selection with the BOB function is used with IPv6   traffic, the following input bytes MUST be used.      - Payload length (2 bytes)      - Byte number 10,11,14,15,16 of the IPv6 source address      - Byte number 10,11,14,15,16 of the IPv6 destination address      - A configurable number of bytes from the IP payload, starting at        a configurable offset.  It is recommended to use at least 4        bytes from the IP payload.   The payload itself is not changing during the path.  Even if some   routers process some extension headers, they are not going to strip   them from the packet.  Therefore, the payload length is invariant   along the path.  Furthermore, it usually differs for different   packets.  The IPv6 address has 16 bytes.  The first part is theZseby, et al.               Standards Track                    [Page 28]

RFC 5475           Techniques for IP Packet Selection         March 2009   network part and contains low variation.  The second part is the host   part and contains higher variation.  Therefore, the second part of   the address is used.  Nevertheless, the uniformity has not been   checked for IPv6 traffic.6.2.4.2.  Hash Functions Suitable for Packet Digesting   For this purpose also the BOB function SHOULD be used.  Other   functions (such as CRC-32) MAY be used.  Among the functions capable   of operating with variable-length input, BOB and CRC-32 have the   fastest execution, BOB being slightly faster.  IPSX is not   recommended for digesting because it has a significantly higher   collision rate and takes only a fixed-length input.7.  Parameters for the Description of Selection Techniques   This section gives an overview of different alternative selection   schemes and their required parameters.  In order to be compliant with   PSAMP, at least one of proposed schemes MUST be implemented.   The decision whether or not to select a packet is based on a function   that is performed when the packet arrives at the selection process.   Packet selection schemes differ in the input parameters for the   selection process and the functions they require to do the packet   selection.  The following table gives an overview.Zseby, et al.               Standards Track                    [Page 29]

RFC 5475           Techniques for IP Packet Selection         March 2009     Scheme       |   Input parameters     |     Functions   ---------------+------------------------+-------------------    systematic    |    packet position     |  packet counter    count-based   |    Sampling pattern    |   ---------------+------------------------+-------------------    systematic    |      arrival time      |  clock or timer    time-based    |     Sampling pattern   |   ---------------+------------------------+-------------------    random        |  packet position       |  packet counter,    n-out-of-N    |  Sampling pattern      |  random numbers                  | (random number list)   |   ---------------+------------------------+-------------------    uniform       |        Sampling        |  random function    probabilistic |      probability       |   ---------------+------------------------+-------------------    non-uniform   |e.g., packet position,  | selection function,    probabilistic |  Packet Content(parts) |  probability calc.   ---------------+------------------------+-------------------    non-uniform   |e.g., flow state,       | selection function,    flow-state    |  Packet Content(parts) |  probability calc.   ---------------+------------------------+-------------------    property      | Packet Content(parts)  |  filter function or    match         | or router state        |  state discovery   ---------------+------------------------+-------------------    hash-based    |  Packet Content(parts) |  Hash Function   ---------------+------------------------+-------------------7.1.   Description of Sampling Techniques   In this section, we define what elements are needed to describe the   most common Sampling techniques.  Here the selection function is   predefined and given by the Selector ID.   Sampler Description:        SELECTOR_ID        SELECTOR_TYPE        SELECTOR_PARAMETERS   Where:   SELECTOR_ID:   Unique ID for the packet sampler.Zseby, et al.               Standards Track                    [Page 30]

RFC 5475           Techniques for IP Packet Selection         March 2009   SELECTOR_TYPE:   For Sampling processes, the SELECTOR TYPE defines what Sampling   algorithm is used.   Values: Systematic count-based | Systematic time-based | Random   |n-out-of-N | uniform probabilistic | Non-uniform probabilistic |   Non-uniform flow state   SELECTOR_PARAMETERS:   For Sampling processes, the SELECTOR PARAMETERS define the input   parameters for the process.  Interval length in systematic Sampling   means that all packets that arrive in this interval are selected.   The spacing parameter defines the spacing in time or number of   packets between the end of one Sampling interval and the start of the   next succeeding interval.   Case n-out-of-N:      - Population Size N, Sample size n   Case systematic time-based:      - Interval length (in usec), Spacing (in usec)   Case systematic count-based:      - Interval length (in packets), Spacing (in packets)   Case uniform probabilistic (with equal probability per packet):      - Sampling probability p   Case non-uniform probabilistic:      - Calculation function for Sampling probability p (see alsoSection 5.2.2.4)   Case flow state:      - Information reported for flow state Sampling is not defined in        this document (see alsoSection 5.2.2.4)7.2.  Description of Filtering Techniques   In this section, we define what elements are needed to describe the   most common Filtering techniques.  The structure closely parallels   the one presented for the Sampling techniques.   Filter Description:      SELECTOR_ID      SELECTOR_TYPE      SELECTOR_PARAMETERSZseby, et al.               Standards Track                    [Page 31]

RFC 5475           Techniques for IP Packet Selection         March 2009   Where:   SELECTOR_ID:   Unique ID for the packet filter.  The ID can be calculated under   consideration of the SELECTION SEQUENCE and a local ID.   SELECTOR_TYPE:   For Filtering processes, the SELECTOR TYPE defines what Filtering   type is used.   Values: Matching | Hashing | Router_state   SELECTOR_PARAMETERS:   For Filtering processes, the SELECTOR PARAMETERS define formally the   common property of the packet being filtered.  For the filters of   type matching and hashing, the definitions have a lot of points in   common.   Values:   Case matching:      - Information Element (from [RFC5102])      - Value (type in accordance to [RFC5102])   In case of multiple match criteria, multiple "case matching" has to   be bound by a logical AND.   Case hashing:      - Hash Domain (input bits from packet)           - <Header type = IPv4>           - <Input bit specification, header part>           - <Header type =  IPv6>           - <Input bit specification, header part>           - <payload byte number N>           - <Input bit specification, payload part>      - Hash Function           - Hash Function name           - Length of input key (eliminate 0x bytes)           - Output value (length M and bitmask)           - Hash Selection Range, as a list of non-overlapping             intervals [start value, end value] where value is in             [0,2^M-1]           - Additional parameters are dependent on specific Hash             Function (e.g., hash input bits (seed))   Notes to input bits for case hashing:   - Input bits can be from header part only, from the payload part     only, or from both.Zseby, et al.               Standards Track                    [Page 32]

RFC 5475           Techniques for IP Packet Selection         March 2009   - The bit specification, for the header part, can be specified for     IPv4 or IPv6 only, or both.   - In case of IPv4, the bit specification is a sequence of 20     hexadecimal numbers [00,FF] specifying a 20-byte bitmask to be     applied to the header.   - In case of IPv6, it is a sequence of 40 hexadecimal numbers [00,FF]     specifying a 40-byte bitmask to be applied to the header.   - The bit specification, for the payload part, is a sequence of     hexadecimal numbers [00,FF] specifying the bitmask to be applied to     the first N bytes of the payload, as specified by the previous     field.  In case the hexadecimal number sequence is longer than N,     only the first N numbers are considered.   - In case the payload is shorter than N, the Hash Function cannot be     applied.  Other options, like padding with zeros, may be considered     in the future.   - A Hash Function cannot be defined on the options field of the IPv4     header, neither on stacked headers of IPv6.   - The Hash Selection Range defines a range of hash values (out of all     possible results of the hash operation).  If the hash result for a     specific packet falls in this range, the packet is selected.  If     the value is outside the range, the packet is not selected.  For     example, if the selection interval specification is [1:3], [6:9]     all packets are selected for which the hash result is 1,2,3,6,7,8,     or 9.  In all other cases, the packet is not selected.   Case router state:   - Ingress interface at which the packet arrives equals a specified     value   - Egress interface to which the packet is routed equals a specified     value   - Packet violated Access Control List (ACL) on the router   - Reverse Path Forwarding (RPF) failed for the packet   - Resource Reservation is insufficient for the packet   - No route is found for the packet   - Origin AS equals a specified value or lies within a given rangeZseby, et al.               Standards Track                    [Page 33]

RFC 5475           Techniques for IP Packet Selection         March 2009   - Destination AS equals a specified value or lies within a given     range   Note to case router state:   - All router state entries can be linked by AND operators8.  Composite Techniques   Composite schemes are realized by combining the Selector IDs into a   Selection Sequence.  The Selection Sequence contains all Selector IDs   that are applied to the Packet Stream subsequently.  Some examples of   composite schemes are reported below.8.1.  Cascaded Filtering->Sampling or Sampling->Filtering   If a filter precedes a Sampling process, the role of Filtering is to   create a set of "parent populations" from a single stream that can   then be fed independently to different Sampling functions, with   different parameters tuned for the Population itself (e.g., if   streams of different intensity result from Filtering, it may be good   to have different Sampling rates).  If Filtering follows a Sampling   process, the same Selection Fraction and type are applied to the   whole stream, independently of the relative size of the streams   resulting from the Filtering function.  Moreover, also packets not   destined to be selected in the Filtering operation will "load" the   Sampling function.  So, in principle, Filtering before Sampling   allows a more accurate tuning of the Sampling procedure, but if   filters are too complex to work at full line rate (e.g., because they   have to access router state information), Sampling before Filtering   may be a need.8.2.  Stratified Sampling   Stratified Sampling is one example for using a composite technique.   The basic idea behind stratified Sampling is to increase the   estimation accuracy by using a priori information about correlations   of the investigated characteristic with some other characteristic   that is easier to obtain.  The a priori information is used to   perform an intelligent grouping of the elements of the parent   Population.  In this manner, a higher estimation accuracy can be   achieved with the same sample size or the sample size can be reduced   without reducing the estimation accuracy.   Stratified Sampling divides the Sampling process into multiple steps.   First, the elements of the parent Population are grouped into subsets   in accordance to a given characteristic.  This grouping can be done   in multiple steps.  Then samples are taken from each subset.Zseby, et al.               Standards Track                    [Page 34]

RFC 5475           Techniques for IP Packet Selection         March 2009   The stronger the correlation between the characteristic used to   divide the parent Population (stratification variable) and the   characteristic of interest (for which an estimate is sought after),   the easier is the consecutive Sampling process and the higher is the   stratification gain.  For instance, if the dividing characteristic   were equal to the investigated characteristic, each element of the   subgroup would be a perfect representative of that characteristic.   In this case, it would be sufficient to take one arbitrary element   out of each subgroup to get the actual distribution of the   characteristic in the parent Population.  Therefore, stratified   Sampling can reduce the costs for the Sampling process (i.e., the   number of samples needed to achieve a given level of confidence).   For stratified Sampling, one has to specify classification rules for   grouping the elements into subgroups and the Sampling scheme that is   used within the subgroups.  The classification rules can be expressed   by multiple filters.  For the Sampling scheme within the subgroups,   the parameters have to be specified as described above.  The use of   stratified Sampling methods for measurement purposes is described for   instance in [ClPB93] and [Zseb03].9.  Security Considerations   Security considerations concerning the choice of a Hash Function for   Hash-based Selection have been discussed inSection 6.2.3.  That   section discussed a number of potential attacks to craft Packet   Streams that are disproportionately detected and/or discover the Hash   Function parameters, the vulnerabilities of different Hash Functions   to these attacks, and practices to minimize these vulnerabilities.   In addition to this, a user can gain knowledge about the start and   stop triggers in time-based systematic Sampling, e.g., by sending   test packets.  This knowledge might allow users to modify their send   schedule in a way that their packets are disproportionately selected   or not selected [GoRe07].   For random Sampling, a cryptographically strong random number   generator should be used in order to prevent that an advisory can   predict the selection decision [GoRe07].   Further security threats can occur when Sampling parameters are   configured or communicated to other entities.  The configuration and   reporting of Sampling parameters are out of scope of this document.   Therefore, the security threats that originate from this kind of   communication cannot be assessed with the information given in this   document.Zseby, et al.               Standards Track                    [Page 35]

RFC 5475           Techniques for IP Packet Selection         March 2009   Some of these threats can probably be addressed by keeping   configuration information confidential and by authenticating entities   that configure Sampling.  Nevertheless, a full analysis and   assessment of threats for configuration and reporting has to be done   if configuration or reporting methods are proposed.10.  Contributors   Sharon Goldberg contributed to the security considerations for Hash-   based Selection.   Sharon Goldberg   Department of Electrical Engineering   Princeton University   F210-K EQuad   Princeton, NJ 08544,   USA   EMail: goldbe@princeton.edu11.  Acknowledgments   We would like to thank the PSAMP group, especially Benoit Claise and   Stewart Bryant, for fruitful discussions and for proofreading the   document.  We thank Sharon Goldberg for her input on security issues   concerning Hash-based Selection.12.  References12.1.  Normative References   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate              Requirement Levels",BCP 14,RFC 2119, March 1997.12.2.  Informative References   [AmCa89]   Paul D. Amer, Lillian N. Cassel, "Management of Sampled              Real-Time Network Measurements", 14th Conference on Local              Computer Networks, October 1989, Minneapolis, pages 62-68,              IEEE, 1989.   [BeCK96]   M. Bellare, R. Canetti and H. Krawczyk, "Pseudorandom              Functions Revisited: The Cascade Construction and its              Concrete Security", Symposium on Foundations of Computer              Science, 1996.Zseby, et al.               Standards Track                    [Page 36]

RFC 5475           Techniques for IP Packet Selection         March 2009   [ClPB93]   K.C. Claffy, George C. Polyzos, Hans-Werner Braun,              "Application of Sampling Methodologies to Network Traffic              Characterization", Proceedings of ACM SIGCOMM'93, San              Francisco, CA, USA, September 13 - 17, 1993.   [DuGG02]   N.G. Duffield, A. Gerber, M. Grossglauser, "Trajectory              Engine: A Backend for Trajectory Sampling", IEEE Network              Operations and Management Symposium 2002, Florence, Italy,              April 15-19, 2002.   [DuGr00]   N.G. Duffield, M. Grossglauser, "Trajectory Sampling for              Direct Traffic Observation", Proceedings of ACM SIGCOMM              2000, Stockholm, Sweden, August 28 - September 1, 2000.   [DuGr04]   N.G. Duffield and M. Grossglauser "Trajectory Sampling              with Unreliable Reporting", Proc IEEE Infocom 2004, Hong              Kong, March 2004.   [DuLT01]   N.G. Duffield, C. Lund, and M. Thorup, "Charging from              Sampled Network Usage", ACM Internet Measurement Workshop              IMW 2001, San Francisco, USA, November 1-2, 2001.   [EsVa01]   C. Estan and G. Varghese, "New Directions in Traffic              Measurement and Accounting", ACM SIGCOMM Internet              Measurement Workshop 2001, San Francisco (CA) Nov. 2001.   [GoRe07]   S. Goldberg, J. Rexford, "Security Vulnerabilities and              Solutions for Packet Sampling", IEEE Sarnoff Symposium,              Princeton, NJ, May 2007.   [HT52]     D.G. Horvitz and D.J. Thompson, "A Generalization of              Sampling without replacement from a Finite Universe" J.              Amer. Statist. Assoc. Vol. 47, pp. 663-685, 1952.   [Henk08]   Christian Henke, Evaluation of Hash Functions for              Multipoint Sampling in IP Networks, Diploma Thesis, TU              Berlin, April 2008.   [HeSZ08]   Christian Henke, Carsten Schmoll, Tanja Zseby, Evaluation              of Header Field Entropy for Hash-Based Packet Selection,              Proceedings of Passive and Active Measurement Conference              PAM 2008, Cleveland, Ohio, USA, April 2008.   [Jenk97]   B. Jenkins, "Algorithm Alley", Dr. Dobb's Journal,              September 1997.http://burtleburtle.net/bob/hash/doobs.html.Zseby, et al.               Standards Track                    [Page 37]

RFC 5475           Techniques for IP Packet Selection         March 2009   [JePP92]   Jonathan Jedwab, Peter Phaal, Bob Pinna, "Traffic              Estimation for the Largest Sources on a Network, Using              Packet Sampling with Limited Storage", HP technical              report, Managemenr, Mathematics and Security Department,              HP Laboratories, Bristol, March 1992,http://www.hpl.hp.com/techreports/92/HPL-92-35.html.   [Moli03]   M. Molina, "A scalable and efficient methodology for flow              monitoring in the Internet", International Teletraffic              Congress (ITC-18), Berlin, Sep. 2003.   [MoND05]   M. Molina, S. Niccolini, N.G. Duffield, "A Comparative              Experimental Study of Hash Functions Applied to Packet              Sampling", International Teletraffic Congress (ITC-19),              Beijing, August 2005.   [RFC1141]  Mallory, T. and A. Kullberg, "Incremental updating of the              Internet checksum",RFC 1141, January 1990.   [RFC1624]  Rijsinghani, A., Ed., "Computation of the Internet              Checksum via Incremental Update",RFC 1624, May 1994.   [RFC2205]  Braden, R., Ed., Zhang, L., Berson, S., Herzog, S., and S.              Jamin, "Resource ReSerVation Protocol (RSVP) -- Version 1              Functional Specification",RFC 2205, September 1997.   [RFC3704]  Baker, F. and P. Savola, "Ingress Filtering for Multihomed              Networks",BCP 84,RFC 3704, March 2004.   [RFC3917]  Quittek, J., Zseby, T., Claise, B., and S. Zander,              "Requirements for IP Flow Information Export (IPFIX)",RFC3917, October 2004.   [RFC4271]  Rekhter, Y., Ed., Li, T., Ed., and S. Hares, Ed., "A              Border Gateway Protocol 4 (BGP-4)",RFC 4271, January              2006.   [RFC5101]  Claise, B., Ed., "Specification of the IP Flow Information              Export (IPFIX) Protocol for the Exchange of IP Traffic              Flow Information",RFC 5101, January 2008.   [RFC5102]  Quittek, J., Bryant, S., Claise, B., Aitken, P., and J.              Meyer, "Information Model for IP Flow Information Export",RFC 5102, January 2008.   [RFC5474]  Duffield, N., Ed., "A Framework for Packet Selection and              Reporting",RFC 5474, March 2009.Zseby, et al.               Standards Track                    [Page 38]

RFC 5475           Techniques for IP Packet Selection         March 2009   [RFC5476]  Claise, B., Ed., "Packet Sampling (PSAMP) Protocol              Specifications",RFC 5476, March 2009.   [RFC5477]  Dietz, T., Claise, B., Aitken, P., Dressler, F., and G.              Carle, "Information Model for Packet Sampling Exports",RFC 5477, March 2009.   [Zseb03]   T. Zseby, "Stratification Strategies for Sampling-based              Non-intrusive Measurement of One-way Delay", Proceedings              of Passive and Active Measurement Workshop (PAM 2003), La              Jolla, CA, USA, pp. 171-179, April 2003.   [ZsZC01]   Tanja Zseby, Sebastian Zander, Georg Carle.  Evaluation of              Building Blocks for Passive One-way-delay Measurements.              Proceedings of Passive and Active Measurement Workshop              (PAM 2001), Amsterdam, The Netherlands, April 23-24, 2001.Zseby, et al.               Standards Track                    [Page 39]

RFC 5475           Techniques for IP Packet Selection         March 2009Appendix A.  Hash FunctionsA.1.  IP Shift-XOR (IPSX) Hash Function   The IPSX Hash Function is tailored for acting on IP version 4   packets.  It exploits the structure of IP packets and in particular   the variability expected to be exhibited within different fields of   the IP packet in order to furnish a hash value with little apparent   correlation with individual packet fields.  Fields from the IPv4 and   TCP/UDP headers are used as input.  The IPSX Hash Function uses a   small number of simple instructions.   Input parameters: None   Built-in parameters: None   Output: The output of the IPSX is a 16-bit number   Functioning:   The functioning can be divided into two parts: input selection, whose   forms are composite input from various portions of the IP packet,   followed by computation of the hash on the composite.   Input Selection:   The raw input is drawn from the first 20 bytes of the IP packet   header and the first 8 bytes of the IP payload.  If IP options are   not used, the IP header has 20 bytes, and hence the two portions   adjoin and comprise the first 28 bytes of the IP packet.  We now use   the raw input as four 32-bit subportions of these 28 bytes.  We   specify the input by bit offsets from the start of IP header or   payload.   f1 = bits 32 to 63 of the IP header, comprising the IP identification        field, flags, and fragment offset.   f2 = bits 96 to 127 of the IP header, the source IP address.   f3 = bits 128 to 159 of the IP header, the destination IP address.   f4 = bits 32 to 63 of the IP payload.  For a TCP packet, f4 comprises        the TCP sequence number followed by the message length.  For a        UDP packet, f4 comprises the UDP checksum.Zseby, et al.               Standards Track                    [Page 40]

RFC 5475           Techniques for IP Packet Selection         March 2009   Hash Computation:   The hash is computed from f1, f2, f3, and f4 by a combination of XOR   (^), right shift (>>), and left shift (<<) operations.  The   intermediate quantities h1, v1, and v2 are 32-bit numbers.      1.    v1 = f1 ^ f2;      2.    v2 = f3 ^ f4;      3.    h1 = v1 << 8;      4.    h1 ^= v1 >> 4;      5.    h1 ^= v1 >> 12;      6.    h1 ^= v1 >> 16;      7.    h1 ^= v2 << 6;      8.    h1 ^= v2 << 10;      9.    h1 ^= v2 << 14;      10.   h1 ^= v2 >> 7;   The output of the hash is the least significant 16 bits of h1.A.2.  BOB Hash Function   The BOB Hash Function is a Hash Function designed for having each bit   of the input affecting every bit of the return value and using both   1-bit and 2-bit deltas to achieve the so-called avalanche effect   [Jenk97].  This function was originally built for hash table lookup   with fast software implementation.   Input parameters:   The input parameters of such a function are:      - the length of the input string (key) to be hashed, in bytes.        The elementary input blocks of BOB hash are the single bytes;        therefore, no padding is needed.      - an init value (an arbitrary 32-bit number).   Built-in parameters:   The BOB hash uses the following built-in parameter:      - the golden ratio (an arbitrary 32-bit number used in the Hash        Function computation: its purpose is to avoid mapping all zeros        to all zeros).Zseby, et al.               Standards Track                    [Page 41]

RFC 5475           Techniques for IP Packet Selection         March 2009   Note: The mix sub-function (see mix (a,b,c) macro in the reference   code below) has a number of parameters governing the shifts in the   registers.  The one presented is not the only possible choice.   It is an open point whether these may be considered additional   built-in parameters to specify at function configuration.   Output:   The output of the BOB function is a 32-bit number.  It should be   specified:      - A 32-bit mask to apply to the output      - The Selection Range as a list of non-overlapping intervals        [start value, end value] where value is in [0,2^32]   Functioning:   The hash value is obtained computing first an initialization of an   internal state (composed of three 32-bit numbers, called a, b, c in   the reference code below), then, for each input byte of the key the   internal state is combined by addition and mixed using the mix sub-   function.  Finally, the internal state mixed one last time and the   third number of the state (c) is chosen as the return value.   typedef unsigned long int  ub4;   /* unsigned 4-byte quantities   */   typedef unsigned      char ub1;   /* unsigned 1-byte quantities   */   #define hashsize(n) ((ub4)1<<(n))   #define hashmask(n) (hashsize(n)-1)   /* ------------------------------------------------------     mix -- mix three 32-bit values reversibly.     For every delta with one or two bits set, and the deltas of   all three high bits or all three low bits, whether the original   value of a,b,c is almost all zero or is uniformly distributed,     * If mix() is run forward or backward, at least 32 bits in   a,b,c have at least 1/4 probability of changing.     * If mix() is run forward, every bit of c will change between   1/3 and 2/3 of the time (well, 22/100 and 78/100 for some 2-   bit deltas) mix() was built out of 36 single-cycle latency   instructions in a structure that could support 2x parallelism,   like so:Zseby, et al.               Standards Track                    [Page 42]

RFC 5475           Techniques for IP Packet Selection         March 2009           a -= b;           a -= c; x = (c>>13);           b -= c; a ^= x;           b -= a; x = (a<<8);           c -= a; b ^= x;           c -= b; x = (b>>13);           ...   Unfortunately, superscalar Pentiums and Sparcs can't take   advantage of that parallelism.  They've also turned some of   those single-cycle latency instructions into multi-cycle latency   instructions   ------------------------------------------------------------*/     #define mix(a,b,c)  \     { \       a -= b; a -= c; a ^= (c>>13); \       b -= c; b -= a; b ^= (a<<8); \       c -= a; c -= b; c ^= (b>>13); \       a -= b; a -= c; a ^= (c>>12);  \       b -= c; b -= a; b ^= (a<<16); \       c -= a; c -= b; c ^= (b>>5); \       a -= b; a -= c; a ^= (c>>3);  \       b -= c; b -= a; b ^= (a<<10); \       c -= a; c -= b; c ^= (b>>15); \     }     /* -----------------------------------------------------------   hash() -- hash a variable-length key into a 32-bit value   k       : the key (the unaligned variable-length array of bytes)   len     : the length of the key, counting by bytes   initval : can be any 4-byte value   Returns a 32-bit value.  Every bit of the key affects every bit   of the return value.  Every 1-bit and 2-bit delta achieves   avalanche.  About 6*len+35 instructions.   The best hash table sizes are powers of 2.  There is no need to do   mod a prime (mod is so slow!).  If you need less than 32 bits, use a   bitmask.  For example, if you need only 10 bits, do h = (h &   hashmask(10)), in which case, the hash table should have hashsize(10)   elements.   If you are hashing n strings (ub1 **)k, do it like this: for (i=0,   h=0; i<n; ++i) h = hash( k[i], len[i], h);Zseby, et al.               Standards Track                    [Page 43]

RFC 5475           Techniques for IP Packet Selection         March 2009   By Bob Jenkins, 1996.  bob_jenkins@burtleburtle.net.  You may use   this code any way you wish, private, educational, or commercial.   It's free.  Seehttp://burtleburtle.net/bob/hash/evahash.html.   Use for hash table lookup, or anything where one collision in 2^^32   is acceptable.  Do NOT use for cryptographic purposes.    ----------------------------------------------------------- */     ub4 bob_hash(k, length, initval)     register ub1 *k;        /* the key */     register ub4  length;   /* the length of the key */     register ub4  initval;  /* an arbitrary value */     {        register ub4 a,b,c,len;        /* Set up the internal state */        len = length;        a = b = 0x9e3779b9; /*the golden ratio; an arbitrary value   */        c = initval;         /* another arbitrary value */   /*------------------------------------ handle most of the key */        while (len >= 12)        {           a += (k[0] +((ub4)k[1]<<8) +((ub4)k[2]<<16)   +((ub4)k[3]<<24));           b += (k[4] +((ub4)k[5]<<8) +((ub4)k[6]<<16)   +((ub4)k[7]<<24));           c += (k[8] +((ub4)k[9]<<8)   +((ub4)k[10]<<16)+((ub4)k[11]<<24));           mix(a,b,c);           k += 12; len -= 12;        }        /*---------------------------- handle the last 11 bytes */        c += length;        switch(len)       /* all the case statements fall through*/        {        case 11: c+=((ub4)k[10]<<24);        case 10: c+=((ub4)k[9]<<16);        case 9 : c+=((ub4)k[8]<<8);           /* the first byte of c is reserved for the length */        case 8 : b+=((ub4)k[7]<<24);        case 7 : b+=((ub4)k[6]<<16);        case 6 : b+=((ub4)k[5]<<8);        case 5 : b+=k[4];        case 4 : a+=((ub4)k[3]<<24);        case 3 : a+=((ub4)k[2]<<16);Zseby, et al.               Standards Track                    [Page 44]

RFC 5475           Techniques for IP Packet Selection         March 2009        case 2 : a+=((ub4)k[1]<<8);        case 1 : a+=k[0];          /* case 0: nothing left to add */        }        mix(a,b,c);        /*-------------------------------- report the result */        return c;     }Zseby, et al.               Standards Track                    [Page 45]

RFC 5475           Techniques for IP Packet Selection         March 2009Authors' Addresses   Tanja Zseby   Fraunhofer Institute for Open Communication Systems   Kaiserin-Augusta-Allee 31   10589 Berlin   Germany   Phone: +49-30-34 63 7153   EMail: tanja.zseby@fokus.fraunhofer.de   Maurizio Molina   DANTE   City House   126-130 Hills Road   Cambridge CB21PQ   United Kingdom   Phone: +44 1223 371 300   EMail: maurizio.molina@dante.org.uk   Nick Duffield   AT&T Labs - Research   Room B-139   180 Park Ave   Florham Park, NJ 07932   USA   Phone: +1 973-360-8726   EMail: duffield@research.att.com   Saverio Niccolini   Network Laboratories, NEC Europe Ltd.   Kurfuerstenanlage 36   69115 Heidelberg   Germany   Phone: +49-6221-9051118   EMail:  saverio.niccolini@netlab.nec.de   Frederic Raspall   EPSC-UPC   Dept. of Telematics   Av. del Canal Olimpic, s/n   Edifici C4   E-08860 Castelldefels, Barcelona   Spain   EMail: fredi@entel.upc.esZseby, et al.               Standards Track                    [Page 46]

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