Provably Secure Code-Based Threshold Ring Signatures

  • Authors:
  • Léonard Dallot;Damien Vergnaud

  • Affiliations:
  • GREYC --- UMR 6072, Université de Caen, Caen Cedex, France 14050;Ecole Normale Supérieure, C.N.R.S. --- I.N.R.I.A., Paris CEDEX 05, France 75230

  • Venue:
  • Cryptography and Coding '09 Proceedings of the 12th IMA International Conference on Cryptography and Coding
  • Year:
  • 2009

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Abstract

A threshold ring signature scheme enables a set of users to sign a message such that a finite set of possible signers (the ring) is identified, without revealing which subset of ring members actually produced the signature. A recent proposal of Aguillar et al. introduced the first code-based threshold ring signature scheme which large signatures (about 20KBytes per member of the ring for 80-bit security). We propose a new code-based threshold ring signature scheme that achieves small signature size of 675N *** 228*** bits, where N is the number of members in the ring and *** is the number of signers, for a security level of 80 bits. We give a security proof of our scheme whose security relies -- in both random oracle and ideal cipher models -- on two coding theory problems, making our scheme the first provably secure code-based threshold ring signature scheme. Unfortunately, as often in code-based cryptography, the presented scheme leads to very large public keys.