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Amos Fiat and  Moni Naor

We introduce new theoretical measures for the qualitative and quantitativeassessment of encryption schemes designed for broadcast
transmissions. The goal is to allow a central broadcast site to broadcastsecure transmissions to an arbitrary set of recipients while minimizingkey management related transmissions. We present several schemes that allowa center to broadcast a secret to any subset of privileged users out ofa universe of sizen so that coalitions of k users not inthe privileged set cannot learn the secret.
The most interesting scheme requires every user to store O(k log k log n)  keys and the center to broadcast  O(k2log2k log n) messages
regardless of  the size of the privileged set. This scheme isresilient toany coalition ofkusers. We also present ascheme that is resilient with
probability p against a random subset ofk users. This schemerequires every user to store O(log k log (1/p)) keys and the centerto broadcast O(k log2k log (1/p)) messages.

This is a revised version of the Crypto'93 paper:
Postscript,gzipped Postscript.

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