**Public Key Trace and Revoke Scheme Secure against Adaptive Chosen Ciphertext Attack**

*Yevgeniy Dodis and Nelly Fazio*

**Abstract: **A (public key) Trace and Revoke Scheme combines the functionality
of broadcast encryption with the capability of traitor tracing.
Specifically, (1) a trusted center publishes a single public key
and distributes individual secret keys to the users of the system;
(2) anybody can encrypt a message so that all but a specified
subset of ``revoked'' users can decrypt the resulting ciphertext;
and (3) if a (small) group of users combine their secret keys to
produce a ``pirate decoder'', the center can trace at least one of
the ``traitors'' given access to this decoder.

We construct the first chosen ciphertext (CCA2) secure Trace and Revoke Scheme based on the DDH assumption. Our scheme is also the first adaptively secure scheme, allowing the adversary to corrupt players at any point during execution, while prior works (e.g., [NP00,TT01]) only achieves a very weak form of non-adaptive security even against chosen plaintext attacks. In fact, no CCA2 scheme was known even in the symmetric setting.

Of independent interest, we present a slightly simpler construction that shows a ``natural separation'' between the classical notion of CCA2 security and the recently proposed [Sho01,ADR02] relaxed notion of gCCA2 security.

**Category / Keywords: **public-key cryptography / Broadcast Encryption, Adaptive CCA Security, Revocation, Traceability

**Publication Info: **Appeared in Public Key Cryptography --- PKC '03

**Date: **received 14 May 2003

**Contact author: **fazio at cs nyu edu

**Available format(s): **Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

**Note: **Extended version.

**Version: **20030517:002818 (All versions of this report)

**Short URL: **ia.cr/2003/095

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