Feb. 27, 2023, 2:10 a.m. | Antonio J. Di Scala, Carlo Sanna

cs.CR updates on arXiv.org arxiv.org

MinRank is an NP-complete problem in linear algebra whose characteristics
make it attractive to build post-quantum cryptographic primitives. Currently,
three MinRank-based digital signature schemes have been proposed: Curtois'
(2001), MR-DSS (2022), and MRitH (2022). Of these, MR-DSS has the smallest
public-key size. We propose a key-generation algorithm for MinRank-based
schemes that reduces the size of public key to about $50\%$ of that of MR-DSS,
putting it in the range of 328-664 bits, for security levels of 128-256 bits.

algebra algorithm bits build digital digital signature dss key keys post-quantum problem public public key quantum signature size

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