An Efficient Single-Key Pirates Tracing Scheme Using Cover-Free Families

Dongvu Tonien; Reihaneh Safavi-Naini

Paper 2006/099

An Efficient Single-Key Pirates Tracing Scheme Using Cover-Free Families

Dongvu Tonien and Reihaneh Safavi-Naini

Abstract

A cover-free family is a well-studied combinatorial structure that has many applications in computer science and cryptography. In this paper, we propose a new public key traitor tracing scheme based on cover-free families. The new traitor tracing scheme is similar to the Boneh-Franklin scheme except that in the Boneh-Franklin scheme, decryption keys are derived from Reed-Solomon codes while in our case they are derived from a cover-free family. This results in much simpler and faster tracing algorithms for single-key pirate decoders, compared to the tracing algorithms of Boneh-Franklin scheme that use Berlekamp-Welch algorithm. Our tracing algorithms never accuse innocent users and identify all traitors with overwhelming probability.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Full version of a paper to appear in ACNS06
Keywords: traitor tracing cover-free family combinatorial cryptography
Contact author(s): dong @ uow edu au
History: 2006-03-28: last of 2 revisions; 2006-03-19: received; See all versions
Short URL: https://ia.cr/2006/099
License: CC BY

BibTeX

@misc{cryptoeprint:2006/099,
      author = {Dongvu Tonien and Reihaneh Safavi-Naini},
      title = {An Efficient Single-Key Pirates Tracing Scheme Using Cover-Free Families},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/099},
      year = {2006},
      url = {https://eprint.iacr.org/2006/099}
}