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Wave: A New Code-Based Signature Scheme

Abstract : We present here Wave the first "hash-and-sign" code-based signature scheme which strictly follows the GPV strategy [GPV08]. It uses the family of ternary generalized (U, U + V) codes. We prove that Wave achieves existential unforgeability under adaptive chosen message attacks (EUF-CMA) in the random oracle model (ROM) with a tight reduction to two assumptions from coding theory: one is a distinguishing problem that is related to the trapdoor we insert in our scheme, the other one is DOOM, a multiple target version of syndrome decoding. The algorithm produces uniformly distributed signatures through a suitable rejection sampling. Our scheme enjoys efficient signature and verification algorithms. For 128 bits of classical security, signature are 8 thousand bits long and the public key size is slightly smaller than one megabyte. Furthermore, with our current choice of parameters, the rejection rate is limited to one rejection every 3 or 4 signatures.
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https://hal.inria.fr/hal-01958175
Contributor : Jean-Pierre Tillich <>
Submitted on : Monday, December 17, 2018 - 5:32:13 PM
Last modification on : Friday, April 19, 2019 - 4:54:54 PM

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Thomas Debris-Alazard, Nicolas Sendrier, Jean-Pierre Tillich. Wave: A New Code-Based Signature Scheme. 2018. ⟨hal-01958175⟩

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