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INFORMATIONAL
Network Working Group                                           H.J. LeeRequest for Comments: 4269                                      S.J. LeeObsoletes:4009                                                J.H. YoonCategory: Informational                                       D.H. Cheon                                                                J.I. Lee                                                                    KISA                                                           December 2005The SEED Encryption AlgorithmStatus of This Memo   This memo provides information for the Internet community.  It does   not specify an Internet standard of any kind.  Distribution of this   memo is unlimited.Copyright Notice   Copyright (C) The Internet Society (2005).Abstract   This document describes the SEED encryption algorithm, which has been   adopted by most of the security systems in the Republic of Korea.   Included are a description of the encryption and the key scheduling   algorithm (Section 2), the S-boxes (Appendix A), and a set of test   vectors (Appendix B).   This document obsoletesRFC 4009.Lee, et al.                  Informational                      [Page 1]

RFC 4269             The SEED Encryption Algorithm         December 20051.  Introduction1.1. Changes fromRFC 4009   This specification obsoletesRFC 4009, becauseRFC 4009 had ambiguous   function and SS-boxes definitions cryptographically.  Thus, some   definitions have been changed, and for better understanding, the SEED   pseudo codes have been modified.  This update is to provide clarity   and facilitate the development of interoperable implementations.  The   SEED algorithm itself has not been changed.   This specification updatesRFC 4009 in the following areas:     -  Pseudo code changes.  The pseudo code inSection 2 of RFC 4009        is insufficient for the explanation of the structure of SEED.        Thus, detailed pseudo code is introduced.     -  Some corrections of errata, which are the definitions of R1', Z,        X, and SS-boxes.1.2.  SEED Overview   SEED is a 128-bit symmetric key block cipher that has been developed   by KISA (Korea Information Security Agency) since 1998.  SEED is a   national standard encryption algorithm in the Republic of Korea   [TTASSEED] and is designed to use the S-boxes and permutations that   balance with the current computing technology.  It has the Feistel   structure with 16-round and is strong against DC (Differential   Cryptanalysis), LC (Linear Cryptanalysis), and related key attacks,   balanced with security/efficiency trade-off.   The features of SEED are outlined as follows:     -  The Feistel structure with 16-round     -  128-bit input/output data block size     -  128-bit key length     -  A round function that is strong against known attacks     -  Two 8x8 S-boxes     -  Mixed operations of XOR and modular addition   SEED has been widely used in the Republic of Korea for confidential   services such as electronic commerce; e.g., financial services   provided in wired and wireless communication.Lee, et al.                  Informational                      [Page 2]

RFC 4269             The SEED Encryption Algorithm         December 20051.3.  Notation   The following notation is used in the description of the SEED   encryption algorithm:      &             bitwise AND      ^             bitwise exclusive OR      +             addition in modular 2**32      -             subtraction in modular 2**32      ||            concatenation      << n          left circular rotation by n bits      >> n          right circular rotation by n bits      0x            hexadecimal representation2.  The Structure of SEED   The input/output block size of SEED is 128 bits, and the key length   is also 128 bits.  SEED has the 16-round Feistel structure.  A   128-bit input is divided into two 64-bit blocks (L, R), and the right   64-bit block is an input to the round function F, with a 64-bit   subkey Ki generated from the key schedule.  L is the most significant   64 bits of 128-bit input, and R is the least significant 64 bits.   A pseudo code for the structure of SEED is as follows:        Input : (L, R)        for i = 1 to 15            T = R;            R = L ^ F(Ki, R);            L = T;        L = L ^ F(K16, R), R=R        Output : (L, R)        Where T is a temporary.2.1.  The Round Function F   SEED uses two 8x8 S-boxes, permutations, rotations, and basic modular   operations such as exclusive OR (XOR) and additions to provide strong   security, high speed, and simplicity in its implementation.   A 64-bit input block of the round function F is divided into two   32-bit blocks (R0, R1) and wrapped with 4 phases:Lee, et al.                  Informational                      [Page 3]

RFC 4269             The SEED Encryption Algorithm         December 2005      -  A mixing phase of two 32-bit subkey blocks (Ki0, Ki1)      -  3 layers of function G (seeSection 2.2), with additions for         mixing two 32-bit blocks   Where R0 is the most significant 32 bits of R, and R1 is the least   significant 32 bits.   The outputs (R0', R1') of function F are as follows:   R0' = G[ G[ G[(R0 ^ Ki0) ^ (R1 ^ Ki1)] + (R0 ^ Ki0)] + G[(R0 ^ Ki0) ^         (R1 ^ Ki1)]] + G[ G[(R0 ^ Ki0) ^ (R1 ^ Ki1)] + (R0 ^ Ki0)]   R1' = G[ G[ G[(R0 ^ Ki0) ^ (R1 ^ Ki1)] + (R0 ^ Ki0)] + G[(R0 ^ Ki0) ^         (R1 ^ Ki1)]]2.2.  The Function G   The function G has two layers: a layer of two 8x8 S-boxes and a layer   of block permutation of sixteen 8-bit sub-blocks.  The outputs Z (=   Z3 || Z2 || Z1 || Z0) of the function G with four 8-bit inputs X (=   X3 || X2 || X1 || X0) are as follows:     Z0 = {S0(X0) & m0} ^ {S1(X1) & m1} ^ {S0(X2) & m2} ^ {S1(X3) & m3}     Z1 = {S0(X0) & m1} ^ {S1(X1) & m2} ^ {S0(X2) & m3} ^ {S1(X3) & m0}     Z2 = {S0(X0) & m2} ^ {S1(X1) & m3} ^ {S0(X2) & m0} ^ {S1(X3) & m1}     Z3 = {S0(X0) & m3} ^ {S1(X1) & m0} ^ {S0(X2) & m1} ^ {S1(X3) & m2}     where m0 = 0xFC, m1 = 0xF3, m2 = 0xCF, and m3 = 0x3F.   To increase the efficiency of G function, four extended S-boxes   "SS-box" (seeAppendix A.2) are defined as follows:   SS0(X0)= {S0(X0)& m3} || {S0(X0)& m2} || {S0(X0)& m1} || {S0(X0)& m0}   SS1(X1)= {S1(X1)& m0} || {S1(X1)& m3} || {S1(X1)& m2} || {S1(X1)& m1}   SS2(X2)= {S0(X2)& m1} || {S0(X2)& m0} || {S0(X2)& m3} || {S0(X2)& m2}   SS3(X3)= {S1(X3)& m2} || {S1(X3)& m1} || {S1(X3)& m0} || {S1(X3)& m3}   New G function, Z, can be defined as follows:     Z = SS0(X0) ^ SS1(X1) ^ SS2(X2) ^ SS3(X3)   This new G function is faster than the original G function but takes   more memory to store four SS-boxes.Lee, et al.                  Informational                      [Page 4]

RFC 4269             The SEED Encryption Algorithm         December 20052.3.  Key Schedule   The key schedule generates each round's subkeys.  It uses the   function G, addition in modular 2**32, subtraction in modular 2**32,   and (left/right) circular rotation.  A 128-bit input key is divided   into four 32-bit blocks (Key0, Key1, Key2, Key3).  The two 32-bit   subkeys of the ith round, Ki0 and Ki1, are generated as follows:      - Type 1 : Odd round        Ki0 = G(Key0 + Key2 - KCi)        Ki1 = G(Key1 - Key3 + KCi)        Key0 || Key1 = (Key0 || Key1) >> 8      - Type 2 : Even round        Ki0 = G(Key0 + Key2 - KCi)        Ki1 = G(Key1 - Key3 + KCi)        Key2 || Key3 = (Key2 || Key3) << 8   Where Ki0 is the most significant 32 bits of Ki, and Ki1 is the least   significant 32 bits of Ki (where i=0,...,3).   The following table shows constants used in KCi:          i    |    Value          i    |    Value         ============================================         KC1   |  0x9E3779B9      KC2   |  0x3C6EF373         KC3   |  0x78DDE6E6      KC4   |  0xF1BBCDCC         KC5   |  0xE3779B99      KC6   |  0xC6EF3733         KC7   |  0x8DDE6E67      KC8   |  0x1BBCDCCF         KC9   |  0x3779B99E      KC10  |  0x6EF3733C         KC11  |  0xDDE6E678      KC12  |  0xBBCDCCF1         KC13  |  0x779B99E3      KC14  |  0xEF3733C6         KC15  |  0xDE6E678D      KC16  |  0xBCDCCF1B   A pseudo code for the key schedule is as follows:         Input : (Key0, Key1, Key2, Key3)         for i = 1 to 16           Ki0 = G(Key0 + Key2 - KCi)           Ki1 = G(Key1 - Key3 + KCi)           if i is odd                  Key0 || Key1 = (Key0 || Key1) >> 8           else                  Key2 || Key3 = (Key2 || Key3) << 8         Output : (Keyi0, Keyi1), i=1 to 16Lee, et al.                  Informational                      [Page 5]

RFC 4269             The SEED Encryption Algorithm         December 20052.4.  Decryption Procedure   Decryption procedure is the reverse step of the encryption procedure.   It can be implemented by using the encryption algorithm with reverse   order of the round subkeys.2.5.  SEED Object Identifiers   For those who may be using SEED in algorithm negotiation within a   protocol, or in any other context that may require the use of Object   Identifiers (OIDs), the following three OIDs have been defined.     algorithm OBJECT IDENTIFIER ::= { iso(1) member-body(2) korea(410)       kisa(200004) algorithm(1) }     id-seedCBC OBJECT IDENTIFIER ::= { algorithm seedCBC(4) }     seedCBCParameter ::= OCTET STRING (SIZE(16))     -- 128-bit Initialization Vector   The id-seedCBC OID is used when the Cipher Block Chaining (CBC) mode   of operation based on the SEED block cipher is provided.     id-seedMAC OBJECT IDENTIFIER ::= { algorithm seedMAC(7) }     seedMACParameter ::= INTEGER  -- MAC length, in bits   The id-seedMAC OID is used when the message authentication code (MAC)   algorithm based on the SEED block cipher is provided.     pbeWithSHA1AndSEED-CBC OBJECT IDENTIFIER ::=       { algorithm seedCBCwithSHA1(15) }     PBEParameters ::= SEQUENCE { salt          OCTET STRING, iteration       INTEGER }  -- Total number of hash iterations   This OID is used when a password-based encryption in CBC mode based   on SHA-1 and the SEED block cipher is provided.  The details of the   Password-Based Encryption (PBE) computation are well described inSection 6.1 of [RFC2898].3.  Security Considerations   No security problem has been found on SEED.  See [ISOSEED] and   [CRYPTREC].Lee, et al.                  Informational                      [Page 6]

RFC 4269             The SEED Encryption Algorithm         December 20054.  References4.1.  Normative References   [TTASSEED] Telecommunications Technology Association(TTA),"128-bit              Symmetric Block Cipher (SEED)", TTAS.KO-12.0004,              September, 1998 (In Korean)http://www.tta.or.kr/English/new/main/index.htm   [RFC2898]  Kaliski, B., "PKCS #5: Password-Based Cryptography              Specification Version 2.0",RFC 2898, September 2000.4.2.  Informative References   [ISOSEED]  ISO/IEC, ISO/IEC JTC1/SC 27 N 256r1, "National Body              contributions on NP 18033 Encryption algorithms in              response to document SC 27 N 2563", October, 2000   [CRYPTREC] Information-technology Promotion Agency (IPA), Japan,              CRYPTREC. "SEED Evaluation Report", February, 2002http://www.kisa.or.kr/seed/data/Document_pdf/SEED_Evaluation_Report_by_CRYPTREC.pdf5.  Acknowledgements   Alfred Hoenes (ah@tr-sys.de) has contributed significantly to work on   the definitions of R1', Z, X, and SS-boxes.  Thanks for his   contribution to this document.Lee, et al.                  Informational                      [Page 7]

RFC 4269             The SEED Encryption Algorithm         December 20056.  Authors' Addresses   Hyangjin Lee   Korea Information Security Agency   78, Garak-Dong, Songpa-Gu, Seoul, 138-803   REPUBLIC OF KOREA   Phone: +82-2-405-5446   Fax:   +82-2-405-5319   EMail: jiinii@kisa.or.kr   Sungjae Lee   Korea Information Security Agency   Phone: +82-2-405-5243   Fax:   +82-2-405-5499   EMail: sjlee@kisa.or.kr   Jaeho Yoon   Korea Information Security Agency   Phone: +82-2-405-5434   FAX:   +82-2-405-5219   EMail: jhyoon@kisa.or.kr   Donghyeon Cheon   SEC Laboratory   Phone: +82-31-788-3161   FAX:   +82-31-707-4017   EMail: dhcheon@mmaa.or.kr   Jaeil Lee   Korea Information Security Agency   Phone: +82-2-405-5300   FAX:   +82-2-405-5219   EMail: jilee@kisa.or.krLee, et al.                  Informational                      [Page 8]

RFC 4269             The SEED Encryption Algorithm         December 2005Appendix A.  S-Boxes   In this part, all data are hexadecimal numbers (not prefixed by   "0x").A.1.  S-Boxes(two original S-boxes)   - S-Box S0   A9, 85, D6, D3, 54, 1D, AC, 25, 5D, 43, 18, 1E, 51, FC, CA, 63, 28,   44, 20, 9D, E0, E2, C8, 17, A5, 8F, 03, 7B, BB, 13, D2, EE, 70, 8C,   3F, A8, 32, DD, F6, 74, EC, 95, 0B, 57, 5C, 5B, BD, 01, 24, 1C, 73,   98, 10, CC, F2, D9, 2C, E7, 72, 83, 9B, D1, 86, C9, 60, 50, A3, EB,   0D, B6, 9E, 4F, B7, 5A, C6, 78, A6, 12, AF, D5, 61, C3, B4, 41, 52,   7D, 8D, 08, 1F, 99, 00, 19, 04, 53, F7, E1, FD, 76, 2F, 27, B0, 8B,   0E, AB, A2, 6E, 93, 4D, 69, 7C, 09, 0A, BF, EF, F3, C5, 87, 14, FE,   64, DE, 2E, 4B, 1A, 06, 21, 6B, 66, 02, F5, 92, 8A, 0C, B3, 7E, D0,   7A, 47, 96, E5, 26, 80, AD, DF, A1, 30, 37, AE, 36, 15, 22, 38, F4,   A7, 45, 4C, 81, E9, 84, 97, 35, CB, CE, 3C, 71, 11, C7, 89, 75, FB,   DA, F8, 94, 59, 82, C4, FF, 49, 39, 67, C0, CF, D7, B8, 0F, 8E, 42,   23, 91, 6C, DB, A4, 34, F1, 48, C2, 6F, 3D, 2D, 40, BE, 3E, BC, C1,   AA, BA, 4E, 55, 3B, DC, 68, 7F, 9C, D8, 4A, 56, 77, A0, ED, 46, B5,   2B, 65, FA, E3, B9, B1, 9F, 5E, F9, E6, B2, 31, EA, 6D, 5F, E4, F0,   CD, 88, 16, 3A, 58, D4, 62, 29, 07, 33, E8, 1B, 05, 79, 90, 6A, 2A,   9A   - S-Box S1   38, E8, 2D, A6, CF, DE, B3, B8, AF, 60, 55, C7, 44, 6F, 6B, 5B, C3,   62, 33, B5, 29, A0, E2, A7, D3, 91, 11, 06, 1C, BC, 36, 4B, EF, 88,   6C, A8, 17, C4, 16, F4, C2, 45, E1, D6, 3F, 3D, 8E, 98, 28, 4E, F6,   3E, A5, F9, 0D, DF, D8, 2B, 66, 7A, 27, 2F, F1, 72, 42, D4, 41, C0,   73, 67, AC, 8B, F7, AD, 80, 1F, CA, 2C, AA, 34, D2, 0B, EE, E9, 5D,   94, 18, F8, 57, AE, 08, C5, 13, CD, 86, B9, FF, 7D, C1, 31, F5, 8A,   6A, B1, D1, 20, D7, 02, 22, 04, 68, 71, 07, DB, 9D, 99, 61, BE, E6,   59, DD, 51, 90, DC, 9A, A3, AB, D0, 81, 0F, 47, 1A, E3, EC, 8D, BF,   96, 7B, 5C, A2, A1, 63, 23, 4D, C8, 9E, 9C, 3A, 0C, 2E, BA, 6E, 9F,   5A, F2, 92, F3, 49, 78, CC, 15, FB, 70, 75, 7F, 35, 10, 03, 64, 6D,   C6, 74, D5, B4, EA, 09, 76, 19, FE, 40, 12, E0, BD, 05, FA, 01, F0,   2A, 5E, A9, 56, 43, 85, 14, 89, 9B, B0, E5, 48, 79, 97, FC, 1E, 82,   21, 8C, 1B, 5F, 77, 54, B2, 1D, 25, 4F, 00, 46, ED, 58, 52, EB, 7E,   DA, C9, FD, 30, 95, 65, 3C, B6, E4, BB, 7C, 0E, 50, 39, 26, 32, 84,   69, 93, 37, E7, 24, A4, CB, 53, 0A, 87, D9, 4C, 83, 8F, CE, 3B, 4A,   B7Lee, et al.                  Informational                      [Page 9]

RFC 4269             The SEED Encryption Algorithm         December 2005A.2.  S-Boxes (four extended S-boxes)- S-Box SS02989A1A8,05858184,16C6D2D4,13C3D3D0,14445054,1D0D111C,2C8CA0AC,25052124,1D4D515C,03434340,18081018,1E0E121C,11415150,3CCCF0FC,0ACAC2C8,23436360,28082028,04444044,20002020,1D8D919C,20C0E0E0,22C2E2E0,08C8C0C8,17071314,2585A1A4,0F8F838C,03030300,3B4B7378,3B8BB3B8,13031310,12C2D2D0,2ECEE2EC,30407070,0C8C808C,3F0F333C,2888A0A8,32023230,1DCDD1DC,36C6F2F4,34447074,2CCCE0EC,15859194,0B0B0308,17475354,1C4C505C,1B4B5358,3D8DB1BC,01010100,24042024,1C0C101C,33437370,18889098,10001010,0CCCC0CC,32C2F2F0,19C9D1D8,2C0C202C,27C7E3E4,32427270,03838380,1B8B9398,11C1D1D0,06868284,09C9C1C8,20406060,10405050,2383A3A0,2BCBE3E8,0D0D010C,3686B2B4,1E8E929C,0F4F434C,3787B3B4,1A4A5258,06C6C2C4,38487078,2686A2A4,12021210,2F8FA3AC,15C5D1D4,21416160,03C3C3C0,3484B0B4,01414140,12425250,3D4D717C,0D8D818C,08080008,1F0F131C,19899198,00000000,19091118,04040004,13435350,37C7F3F4,21C1E1E0,3DCDF1FC,36467274,2F0F232C,27072324,3080B0B0,0B8B8388,0E0E020C,2B8BA3A8,2282A2A0,2E4E626C,13839390,0D4D414C,29496168,3C4C707C,09090108,0A0A0208,3F8FB3BC,2FCFE3EC,33C3F3F0,05C5C1C4,07878384,14041014,3ECEF2FC,24446064,1ECED2DC,2E0E222C,0B4B4348,1A0A1218,06060204,21012120,2B4B6368,26466264,02020200,35C5F1F4,12829290,0A8A8288,0C0C000C,3383B3B0,3E4E727C,10C0D0D0,3A4A7278,07474344,16869294,25C5E1E4,26062224,00808080,2D8DA1AC,1FCFD3DC,2181A1A0,30003030,37073334,2E8EA2AC,36063234,15051114,22022220,38083038,34C4F0F4,2787A3A4,05454144,0C4C404C,01818180,29C9E1E8,04848084,17879394,35053134,0BCBC3C8,0ECEC2CC,3C0C303C,31417170,11011110,07C7C3C4,09898188,35457174,3BCBF3F8,1ACAD2D8,38C8F0F8,14849094,19495158,02828280,04C4C0C4,3FCFF3FC,09494148,39093138,27476364,00C0C0C0,0FCFC3CC,17C7D3D4,3888B0B8,0F0F030C,0E8E828C,02424240,23032320,11819190,2C4C606C,1BCBD3D8,2484A0A4,34043034,31C1F1F0,08484048,02C2C2C0,2F4F636C,3D0D313C,2D0D212C,00404040,3E8EB2BC,3E0E323C,3C8CB0BC,01C1C1C0,2A8AA2A8,3A8AB2B8,0E4E424C,15455154,3B0B3338,1CCCD0DC,28486068,3F4F737C,1C8C909C,18C8D0D8,0A4A4248,16465254,37477374,2080A0A0,2DCDE1EC,06464244,3585B1B4,2B0B2328,25456164,3ACAF2F8,23C3E3E0,3989B1B8,3181B1B0,1F8F939C,1E4E525C,39C9F1F8,26C6E2E4,3282B2B0,31013130,2ACAE2E8,2D4D616C,1F4F535C,24C4E0E4,30C0F0F0,0DCDC1CC,08888088,16061214,3A0A3238,18485058,14C4D0D4,22426260,29092128,07070304,33033330,28C8E0E8,1B0B1318,05050104,39497178,10809090,2A4A6268,2A0A2228,1A8A9298- S-Box SS138380830,E828C8E0,2C2D0D21,A42686A2,CC0FCFC3,DC1ECED2,B03383B3,B83888B0,AC2F8FA3,60204060,54154551,C407C7C3,44044440,6C2F4F63,682B4B63,581B4B53,C003C3C3,60224262,30330333,B43585B1,28290921,A02080A0,E022C2E2,A42787A3,D013C3D3,90118191,10110111,04060602,1C1C0C10,BC3C8CB0,34360632,480B4B43,EC2FCFE3,88088880,6C2C4C60,A82888A0,14170713,C404C4C0,14160612,F434C4F0,C002C2C2,44054541,E021C1E1,D416C6D2,3C3F0F33,3C3D0D31,8C0E8E82,98188890,28280820,4C0E4E42,F436C6F2,3C3E0E32,A42585A1,F839C9F1,0C0D0D01,DC1FCFD3,D818C8D0,282B0B23,64264662,783A4A72,24270723,2C2F0F23,F031C1F1,70324272,40024242,D414C4D0,40014141,C000C0C0,70334373,64274763,AC2C8CA0,880B8B83,Lee, et al.                  Informational                     [Page 10]

RFC 4269             The SEED Encryption Algorithm         December 2005F437C7F3,AC2D8DA1,80008080,1C1F0F13,C80ACAC2,2C2C0C20,A82A8AA2,34340430,D012C2D2,080B0B03,EC2ECEE2,E829C9E1,5C1D4D51,94148490,18180810,F838C8F0,54174753,AC2E8EA2,08080800,C405C5C1,10130313,CC0DCDC1,84068682,B83989B1,FC3FCFF3,7C3D4D71,C001C1C1,30310131,F435C5F1,880A8A82,682A4A62,B03181B1,D011C1D1,20200020,D417C7D3,00020202,20220222,04040400,68284860,70314171,04070703,D81BCBD3,9C1D8D91,98198991,60214161,BC3E8EB2,E426C6E2,58194951,DC1DCDD1,50114151,90108090,DC1CCCD0,981A8A92,A02383A3,A82B8BA3,D010C0D0,80018181,0C0F0F03,44074743,181A0A12,E023C3E3,EC2CCCE0,8C0D8D81,BC3F8FB3,94168692,783B4B73,5C1C4C50,A02282A2,A02181A1,60234363,20230323,4C0D4D41,C808C8C0,9C1E8E92,9C1C8C90,383A0A32,0C0C0C00,2C2E0E22,B83A8AB2,6C2E4E62,9C1F8F93,581A4A52,F032C2F2,90128292,F033C3F3,48094941,78384870,CC0CCCC0,14150511,F83BCBF3,70304070,74354571,7C3F4F73,34350531,10100010,00030303,64244460,6C2D4D61,C406C6C2,74344470,D415C5D1,B43484B0,E82ACAE2,08090901,74364672,18190911,FC3ECEF2,40004040,10120212,E020C0E0,BC3D8DB1,04050501,F83ACAF2,00010101,F030C0F0,282A0A22,5C1E4E52,A82989A1,54164652,40034343,84058581,14140410,88098981,981B8B93,B03080B0,E425C5E1,48084840,78394971,94178793,FC3CCCF0,1C1E0E12,80028282,20210121,8C0C8C80,181B0B13,5C1F4F53,74374773,54144450,B03282B2,1C1D0D11,24250521,4C0F4F43,00000000,44064642,EC2DCDE1,58184850,50124252,E82BCBE3,7C3E4E72,D81ACAD2,C809C9C1,FC3DCDF1,30300030,94158591,64254561,3C3C0C30,B43686B2,E424C4E0,B83B8BB3,7C3C4C70,0C0E0E02,50104050,38390931,24260622,30320232,84048480,68294961,90138393,34370733,E427C7E3,24240420,A42484A0,C80BCBC3,50134353,080A0A02,84078783,D819C9D1,4C0C4C40,80038383,8C0F8F83,CC0ECEC2,383B0B33,480A4A42,B43787B3- S-Box SS2A1A82989,81840585,D2D416C6,D3D013C3,50541444,111C1D0D,A0AC2C8C,21242505,515C1D4D,43400343,10181808,121C1E0E,51501141,F0FC3CCC,C2C80ACA,63602343,20282808,40440444,20202000,919C1D8D,E0E020C0,E2E022C2,C0C808C8,13141707,A1A42585,838C0F8F,03000303,73783B4B,B3B83B8B,13101303,D2D012C2,E2EC2ECE,70703040,808C0C8C,333C3F0F,A0A82888,32303202,D1DC1DCD,F2F436C6,70743444,E0EC2CCC,91941585,03080B0B,53541747,505C1C4C,53581B4B,B1BC3D8D,01000101,20242404,101C1C0C,73703343,90981888,10101000,C0CC0CCC,F2F032C2,D1D819C9,202C2C0C,E3E427C7,72703242,83800383,93981B8B,D1D011C1,82840686,C1C809C9,60602040,50501040,A3A02383,E3E82BCB,010C0D0D,B2B43686,929C1E8E,434C0F4F,B3B43787,52581A4A,C2C406C6,70783848,A2A42686,12101202,A3AC2F8F,D1D415C5,61602141,C3C003C3,B0B43484,41400141,52501242,717C3D4D,818C0D8D,00080808,131C1F0F,91981989,00000000,11181909,00040404,53501343,F3F437C7,E1E021C1,F1FC3DCD,72743646,232C2F0F,23242707,B0B03080,83880B8B,020C0E0E,A3A82B8B,A2A02282,626C2E4E,93901383,414C0D4D,61682949,707C3C4C,01080909,02080A0A,B3BC3F8F,E3EC2FCF,F3F033C3,C1C405C5,83840787,10141404,F2FC3ECE,60642444,D2DC1ECE,222C2E0E,43480B4B,12181A0A,02040606,21202101,63682B4B,62642646,02000202,F1F435C5,92901282,82880A8A,000C0C0C,B3B03383,727C3E4E,D0D010C0,72783A4A,43440747,92941686,E1E425C5,22242606,80800080,A1AC2D8D,D3DC1FCF,A1A02181,30303000,33343707,A2AC2E8E,32343606,11141505,22202202,30383808,F0F434C4,A3A42787,41440545,404C0C4C,81800181,E1E829C9,80840484,93941787,31343505,C3C80BCB,C2CC0ECE,303C3C0C,71703141,11101101,C3C407C7,81880989,71743545,F3F83BCB,D2D81ACA,F0F838C8,90941484,51581949,82800282,C0C404C4,Lee, et al.                  Informational                     [Page 11]

RFC 4269             The SEED Encryption Algorithm         December 2005F3FC3FCF,41480949,31383909,63642747,C0C000C0,C3CC0FCF,D3D417C7,B0B83888,030C0F0F,828C0E8E,42400242,23202303,91901181,606C2C4C,D3D81BCB,A0A42484,30343404,F1F031C1,40480848,C2C002C2,636C2F4F,313C3D0D,212C2D0D,40400040,B2BC3E8E,323C3E0E,B0BC3C8C,C1C001C1,A2A82A8A,B2B83A8A,424C0E4E,51541545,33383B0B,D0DC1CCC,60682848,737C3F4F,909C1C8C,D0D818C8,42480A4A,52541646,73743747,A0A02080,E1EC2DCD,42440646,B1B43585,23282B0B,61642545,F2F83ACA,E3E023C3,B1B83989,B1B03181,939C1F8F,525C1E4E,F1F839C9,E2E426C6,B2B03282,31303101,E2E82ACA,616C2D4D,535C1F4F,E0E424C4,F0F030C0,C1CC0DCD,80880888,12141606,32383A0A,50581848,D0D414C4,62602242,21282909,03040707,33303303,E0E828C8,13181B0B,01040505,71783949,90901080,62682A4A,22282A0A,92981A8A- S-Box SS308303838,C8E0E828,0D212C2D,86A2A426,CFC3CC0F,CED2DC1E,83B3B033,88B0B838,8FA3AC2F,40606020,45515415,C7C3C407,44404404,4F636C2F,4B63682B,4B53581B,C3C3C003,42626022,03333033,85B1B435,09212829,80A0A020,C2E2E022,87A3A427,C3D3D013,81919011,01111011,06020406,0C101C1C,8CB0BC3C,06323436,4B43480B,CFE3EC2F,88808808,4C606C2C,88A0A828,07131417,C4C0C404,06121416,C4F0F434,C2C2C002,45414405,C1E1E021,C6D2D416,0F333C3F,0D313C3D,8E828C0E,88909818,08202828,4E424C0E,C6F2F436,0E323C3E,85A1A425,C9F1F839,0D010C0D,CFD3DC1F,C8D0D818,0B23282B,46626426,4A72783A,07232427,0F232C2F,C1F1F031,42727032,42424002,C4D0D414,41414001,C0C0C000,43737033,47636427,8CA0AC2C,8B83880B,C7F3F437,8DA1AC2D,80808000,0F131C1F,CAC2C80A,0C202C2C,8AA2A82A,04303434,C2D2D012,0B03080B,CEE2EC2E,C9E1E829,4D515C1D,84909414,08101818,C8F0F838,47535417,8EA2AC2E,08000808,C5C1C405,03131013,CDC1CC0D,86828406,89B1B839,CFF3FC3F,4D717C3D,C1C1C001,01313031,C5F1F435,8A82880A,4A62682A,81B1B031,C1D1D011,00202020,C7D3D417,02020002,02222022,04000404,48606828,41717031,07030407,CBD3D81B,8D919C1D,89919819,41616021,8EB2BC3E,C6E2E426,49515819,CDD1DC1D,41515011,80909010,CCD0DC1C,8A92981A,83A3A023,8BA3A82B,C0D0D010,81818001,0F030C0F,47434407,0A12181A,C3E3E023,CCE0EC2C,8D818C0D,8FB3BC3F,86929416,4B73783B,4C505C1C,82A2A022,81A1A021,43636023,03232023,4D414C0D,C8C0C808,8E929C1E,8C909C1C,0A32383A,0C000C0C,0E222C2E,8AB2B83A,4E626C2E,8F939C1F,4A52581A,C2F2F032,82929012,C3F3F033,49414809,48707838,CCC0CC0C,05111415,CBF3F83B,40707030,45717435,4F737C3F,05313435,00101010,03030003,44606424,4D616C2D,C6C2C406,44707434,C5D1D415,84B0B434,CAE2E82A,09010809,46727436,09111819,CEF2FC3E,40404000,02121012,C0E0E020,8DB1BC3D,05010405,CAF2F83A,01010001,C0F0F030,0A22282A,4E525C1E,89A1A829,46525416,43434003,85818405,04101414,89818809,8B93981B,80B0B030,C5E1E425,48404808,49717839,87939417,CCF0FC3C,0E121C1E,82828002,01212021,8C808C0C,0B13181B,4F535C1F,47737437,44505414,82B2B032,0D111C1D,05212425,4F434C0F,00000000,46424406,CDE1EC2D,48505818,42525012,CBE3E82B,4E727C3E,CAD2D81A,C9C1C809,CDF1FC3D,00303030,85919415,45616425,0C303C3C,86B2B436,C4E0E424,8BB3B83B,4C707C3C,0E020C0E,40505010,09313839,06222426,02323032,84808404,49616829,83939013,07333437,C7E3E427,04202424,84A0A424,CBC3C80B,43535013,0A02080A,87838407,C9D1D819,4C404C0C,83838003,8F838C0F,CEC2CC0E,0B33383B,4A42480A,87B3B437Lee, et al.                  Informational                     [Page 12]

RFC 4269             The SEED Encryption Algorithm         December 2005Appendix B.  Test Vectors   This appendix provides test vectors for the SEED cipher described in   this document.   All data are hexadecimal numbers (not prefixed by "0x").B.1.      Key        : 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00      Plaintext  : 00 01 02 03 04 05 06 07 08 09 0A 0B 0C 0D 0E 0F      Ciphertext : 5E BA C6 E0 05 4E 16 68 19 AF F1 CC 6D 34 6C DB                            Intermediate Value   ------------------------------------------------------------------                 Ki0      Ki1        L0       L1       R0       R1   ==================================================================   Round  1 : 7C8F8C7E C737A22C | 00010203 04050607 08090A0B 0C0D0E0F   Round  2 : FF276CDB A7CA684A | 08090A0B 0C0D0E0F 8081BC57 C4EA8A1F   Round  3 : 2F9D01A1 70049E41 | 8081BC57 C4EA8A1F 117A8B07 D7358C24   Round  4 : AE59B3C4 4245E90C | 117A8B07 D7358C24 D1738C94 7326CAB0   Round  5 : A1D6400F DBC1394E | D1738C94 7326CAB0 577ECE6D 1F8433EC   Round  6 : 85963508 0C5F1FCB | 577ECE6D 1F8433EC 910F62AB DDA096C1   Round  7 : B684BDA7 61A4AEAE | 910F62AB DDA096C1 EA4D39B4 B17B1938   Round  8 : D17E0741 FEE90AA1 | EA4D39B4 B17B1938 B04E251F 97D7442C   Round  9 : 76CC05D5 E97A7394 | B04E251F 97D7442C B86D31BF A5988C06   Round 10 : 50AC6F92 1B2666E5 | B86D31BF A5988C06 9008EABF 38DF7430   Round 11 : 65B7904A 8EC3A7B3 | 9008EABF 38DF7430 33E47DE0 54EFF76C   Round 12 : 2F7E2E22 A2B121B9 | 33E47DE0 54EFF76C 6BE9C434 BF3F378A   Round 13 : 4D0BFDE4 4E888D9B | 6BE9C434 BF3F378A B8DC3842 03A02D33   Round 14 : 631C8DDC 4378A6C4 | B8DC3842 03A02D33 6679FCF7 9791DFCB   Round 15 : 216AF65F 7878C031 | 6679FCF7 9791DFCB 1A415792 A02B8C54   Round 16 : 71891150 98B255B0 | 1A415792 A02B8C54 19AFF1CC 6D346CDBB.2.      Key        : 00 01 02 03 04 05 06 07 08 09 0A 0B 0C 0D 0E 0F      Plaintext  : 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00      Ciphertext : C1 1F 22 F2 01 40 50 50 84 48 35 97 E4 37 0F 43                            Intermediate Value   ------------------------------------------------------------------                 Ki0      Ki1        L0       L1       R0       R1   ==================================================================   Round  1 : C119F584 5AE033A0 | 00000000 00000000 00000000 00000000   Round  2 : 62947390 A600AD14 | 00000000 00000000 9D8DB62C 911F0C19   Round  3 : F6F6544E 596C4B49 | 9D8DB62C 911F0C19 21229A97 4AB4B7B8   Round  4 : C1A3DE02 CE483C49 | 21229A97 4AB4B7B8 5A27B404 899D7315Lee, et al.                  Informational                     [Page 13]

RFC 4269             The SEED Encryption Algorithm         December 2005   Round  5 : 5E742E6D 7E25163D | 5A27B404 899D7315 B8489E76 BA0EF3EA   Round  6 : 8299D2B4 790A46CE | B8489E76 BA0EF3EA 04A3DF29 31A27FB4   Round  7 : EA67D836 55F354F2 | 04A3DF29 31A27FB4 EC9C17BF 81AA2AA0   Round  8 : C47329FB F50DB634 | EC9C17BF 81AA2AA0 4FA74E8D CDB21BB8   Round  9 : 2BD30235 51679CE6 | 4FA74E8D CDB21BB8 D93492FE 4F71A4DA   Round 10 : FA8D6B76 A9F37E02 | D93492FE 4F71A4DA B14053D9 A911379B   Round 11 : 8B99CC60 0F6092D4 | B14053D9 A911379B 5A7024D6 3905668B   Round 12 : BDAEFCFA 489C2242 | 5A7024D6 3905668B 605C8C3A 73DFBB75   Round 13 : F6357C14 CFCCB126 | 605C8C3A 73DFBB75 40282F39 31CB8987   Round 14 : A0AA6D85 F8C10774 | 40282F39 31CB8987 E9F834A8 3B9586D4   Round 15 : 47F4FEC5 353AE1BA | E9F834A8 3B9586D4 4B60324B 761C9958   Round 16 : FECCEA48 A4EF9F9B | 4B60324B 761C9958 84483597 E4370F43B.3.      Key        : 47 06 48 08 51 E6 1B E8 5D 74 BF B3 FD 95 61 85      Plaintext  : 83 A2 F8 A2 88 64 1F B9 A4 E9 A5 CC 2F 13 1C 7D      Ciphertext : EE 54 D1 3E BC AE 70 6D 22 6B C3 14 2C D4 0D 4A                            Intermediate Value   ------------------------------------------------------------------                 Ki0      Ki1        L0       L1       R0       R1   ==================================================================   Round  1 : 56BE4A0F E9F62877 | 83A2F8A2 88641FB9 A4E9A5CC 2F131C7D   Round  2 : 68BCB66C 078911DD | A4E9A5CC 2F131C7D 7CE5F012 47F8C1E6   Round  3 : 5B82740B FD24D09B | 7CE5F012 47F8C1E6 AAC99520 609F4CB7   Round  4 : 8D608015 A120E0BE | AAC99520 609F4CB7 3E126D1F 44FA99F0   Round  5 : 810A75AE 1BF223E5 | 3E126D1F 44FA99F0 11716365 9BA775AC   Round  6 : F9C0D2D0 0F676C02 | 11716365 9BA775AC 32C9838F BA5757CB   Round  7 : 8F9B5C84 8A7C8DDD | 32C9838F BA5757CB 77E00C64 CF9F6B32   Round  8 : D4AB4896 18E93447 | 77E00C64 CF9F6B32 3F09B1F7 DE7D6D58   Round  9 : CF090F51 5A4C8202 | 3F09B1F7 DE7D6D58 300E5CAA D0BF2345   Round 10 : 4EC3196F 61B1A0DC | 300E5CAA D0BF2345 9574FDD7 4DF050D1   Round 11 : 244E07C1 D0D10B12 | 9574FDD7 4DF050D1 A15EDA6F 624265FD   Round 12 : 69917C6C 7FF94FB3 | A15EDA6F 624265FD 9F39B682 D841C76F   Round 13 : 9A7EB482 723B5738 | 9F39B682 D841C76F EEBBAD8B C1F488EF   Round 14 : B97522C5 39CC6349 | EEBBAD8B C1F488EF 45CF5D4E BEEA4AA2   Round 15 : FFC2AFD5 1412E731 | 45CF5D4E BEEA4AA2 43B7FE1B BCF87781   Round 16 : A9AF7241 A3E67359 | 43B7FE1B BCF87781 226BC314 2CD40D4ALee, et al.                  Informational                     [Page 14]

RFC 4269             The SEED Encryption Algorithm         December 2005B.4.      Key        : 28 DB C3 BC 49 FF D8 7D CF A5 09 B1 1D 42 2B E7      Plaintext  : B4 1E 6B E2 EB A8 4A 14 8E 2E ED 84 59 3C 5E C7      Ciphertext : 9B 9B 7B FC D1 81 3C B9 5D 0B 36 18 F4 0F 51 22                            Intermediate Value   ------------------------------------------------------------------                 Ki0      Ki1        L0       L1       R0       R1   ==================================================================   Round  1 : B2B11B63 2EE9E2D1 | B41E6BE2 EBA84A14 8E2EED84 593C5EC7   Round  2 : 11967260 71A62F24 | 8E2EED84 593C5EC7 1B31F2F7 3DDE00BA   Round  3 : 2E017A5A 35DAD7A7 | 1B31F2F7 3DDE00BA 35CC49C0 2AFB59EA   Round  4 : 1B2AB5FF A3ADA69F | 35CC49C0 2AFB59EA D7AB53AA AE82F1C7   Round  5 : 519C9903 DA90AAEE | D7AB53AA AE82F1C7 24139958 B840E56F   Round  6 : 29FD95AD B94C3F13 | 24139958 B840E56F 24AB5291 544C9DBA   Round  7 : 6F629D19 8ACE692F | 24AB5291 544C9DBA E8152994 75D0B424   Round  8 : 30A26E73 2F22338E | E8152994 75D0B424 A2CD1153 F32BB23A   Round  9 : 9721073A 98EE8DAE | A2CD1153 F32BB23A C386008B E3257731   Round 10 : C597A8A9 27DCDC97 | C386008B E3257731 98396BFD 814F8972   Round 11 : F5163A00 5FFD0003 | 98396BFD 814F8972 E74D2D0D 11D889D1   Round 12 : 5CBE65DA A73403E4 | E74D2D0D 11D889D1 29D8C7B3 D1B71C0C   Round 13 : 7D5CF070 1D3B8092 | 29D8C7B3 D1B71C0C C4E692C2 D2F57F18   Round 14 : 388C702B 1BAA4945 | C4E692C2 D2F57F18 2FAFB300 5F0C4BFF   Round 15 : 87D1AB5A FA13FB5C | 2FAFB300 5F0C4BFF 60E5F17C 5626BB68   Round 16 : C97D7EED 90724A6E | 60E5F17C 5626BB68 5D0B3618 F40F5122Lee, et al.                  Informational                     [Page 15]

RFC 4269             The SEED Encryption Algorithm         December 2005Full Copyright Statement   Copyright (C) The Internet Society (2005).   This document is subject to the rights, licenses and restrictions   contained inBCP 78, and except as set forth therein, the authors   retain all their rights.   This document and the information contained herein are provided on an   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.Intellectual Property   The IETF takes no position regarding the validity or scope of any   Intellectual Property Rights or other rights that might be claimed to   pertain to the implementation or use of the technology described in   this document or the extent to which any license under such rights   might or might not be available; nor does it represent that it has   made any independent effort to identify any such rights.  Information   on the procedures with respect to rights in RFC documents can be   found inBCP 78 andBCP 79.   Copies of IPR disclosures made to the IETF Secretariat and any   assurances of licenses to be made available, or the result of an   attempt made to obtain a general license or permission for the use of   such proprietary rights by implementers or users of this   specification can be obtained from the IETF on-line IPR repository athttp://www.ietf.org/ipr.   The IETF invites any interested party to bring to its attention any   copyrights, patents or patent applications, or other proprietary   rights that may cover technology that may be required to implement   this standard.  Please address the information to the IETF at ietf-   ipr@ietf.org.Acknowledgement   Funding for the RFC Editor function is currently provided by the   Internet Society.Lee, et al.                  Informational                     [Page 16]

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