Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Conference papers

A Code-Based Group Signature Scheme

Abstract : In this work we propose the first code-based group signature. As it will be described below, its security is based on a relaxation of the model of Bel-lare, Shi and Zhang [3] (BSZ model) verifying the properties of anonymity, traceability and non-frameability. Furthermore, it has numerous advantages over all existing post-quantum constructions and even competes (in terms of properties) with pairing based constructions: it allows to dynamically add new members and signature and public key sizes are constant with respect to the number of group members. Last but not least, our scheme can be extended into a traceable signature according to the definition of Kiayias, Tsiounis and Yung [19] (KTY model) and handles membership revocation. The main idea of our scheme consists in building a collision of two syndromes associated to two different matrices: a random one which enables to build a random syndrome from a chosen small weight vector; and a trapdoor matrix for the syndrome decoding problem, which permits to find a small weight preimage of the previous random syndrome. These two small weight vectors will constitute the group member's secret signing key whose knowledge will be proved thanks to a variation of Stern's authentication protocol. For applications , we consider the case of the code-based CFS signature scheme [11] of Courtois, Finiasz and Sendrier.
Document type :
Conference papers
Complete list of metadata

Cited literature [27 references]  Display  Hide  Download
Contributor : Jean-Pierre Tillich Connect in order to contact the contributor
Submitted on : Friday, February 19, 2016 - 2:15:05 PM
Last modification on : Wednesday, December 22, 2021 - 11:58:08 AM
Long-term archiving on: : Friday, May 20, 2016 - 11:34:48 AM


Files produced by the author(s)


  • HAL Id : hal-01276464, version 1



Quentin Alamélou, Olivier Blazy, Stéphane Cauchie, Philippe Gaborit. A Code-Based Group Signature Scheme. The 9th International Workshop on Coding and Cryptography 2015 WCC2015, Apr 2015, Paris, France. ⟨hal-01276464⟩



Record views


Files downloads