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Published in:
2006 | OriginalPaper | Chapter
Fully Collusion Resistant Traitor Tracing with Short Ciphertexts and Private Keys
Authors : Dan Boneh, Amit Sahai, Brent Waters
Published in: Advances in Cryptology - EUROCRYPT 2006
Publisher: Springer Berlin Heidelberg
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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.