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Provably Secure Code-Based Threshold Ring Signatures

  • Léonard Dallot
  • Damien Vergnaud
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5921)

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 − 228ℓ bits, where N is the number of members in the ring and ℓ 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.

Keywords

Hash Function Signature Scheme Ring Signature Random Oracle Parity Check Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Léonard Dallot
    • 1
  • Damien Vergnaud
    • 2
  1. 1.GREYC – UMR 6072, Université de CaenCaen CedexFrance
  2. 2.Ecole Normale SupérieureC.N.R.S. – I.N.R.I.A.Paris CEDEX 05France

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