Fully collusion resistant traitor tracing with short ciphertexts and private keys

  • Authors:
  • Dan Boneh;Amit Sahai;Brent Waters

  • Affiliations:
  • Stanford University;U.C.L.A.;SRI International

  • Venue:
  • EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
  • Year:
  • 2006

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Abstract

We construct a fully collusion resistant tracing traitors system with sublinear size ciphertexts and constant size private keys. More precisely, let N be the total number of users. Our system generates ciphertexts of size $O(\sqrt{N})$ and private keys of size O(1). We first introduce a simpler primitive we call private linear broadcast encryption (PLBE) and show that any PLBE gives a tracing traitors system with the same parameters. We then show how to build a PLBE system with $O(\sqrt{N})$ size ciphertexts. Our system uses bilinear maps in groups of composite order.