A Code-Based Undeniable Signature Scheme

Carlos Aguilar Melchor (1) , Slim Bettaieb (1) , Philippe Gaborit (1) , Julien Schreck (1)

1 XLIM-DMI - DMI

In this work we propose the first code-based undeniable signature scheme (and more generally the first post-quantum undeniable signature scheme). The verification protocols for our scheme are 3-pass zero-knowledge protocols derived from the Stern authentication protocol. There are two main ideas in our protocol, first we remark that it is possible to obtain a full-time undeniable signature from a one-time undeniable signature simply by signing the one-time public key by a standard signature. Second, we introduce a zero-knowledge variation on the Stern authentication scheme which permits to prove that one or two different syndromes are associated (or not) to the same low weight word. We give a polynomial reduction of the security of our scheme to the security of the syndrome decoding problem.

Mots clés: code based cryptography; undeniable signature schemes; syndrome decoding

Carlos Aguilar Melchor, Slim Bettaieb, Philippe Gaborit, Julien Schreck. A Code-Based Undeniable Signature Scheme. 14th IMA International Conference, IMACC 2013., Dec 2013, Oxford, United Kingdom. pp.99-119, ⟨10.1007/978-3-642-45239-0_7⟩. ⟨hal-00937088⟩