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Cryptanalysis of a rank-based signature with short public keys

Abstract : Following Schnorr framework for obtaining digital signatures, Song et al. recently proposed a new instantiation of a signature scheme featuring small public keys from coding assumptions in rank metric, which was accepted at PKC'19. Their proposal makes use of rank quasi-cyclic (RQC) codes to reduce the public key size. We show that it is possible to turn a valid, legitimate signature into an efficiently solvable decoding problem, which allows to recover the randomness used for signing and hence the secret key, from a single signature, in about the same amount of time as required for signing
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Submitted on : Wednesday, May 20, 2020 - 3:47:10 PM
Last modification on : Monday, May 25, 2020 - 3:49:37 PM

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Nicolas Aragon, Olivier Blazy, Jean-Christophe Deneuville, Philippe Gaborit, Terry Shue Chien Lau, et al.. Cryptanalysis of a rank-based signature with short public keys. Designs, Codes and Cryptography, Springer Verlag, 2020, 88 (4), pp.643-653. ⟨10.1007/s10623-019-00702-0⟩. ⟨hal-02613891⟩

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