Multivariate Public Key Cryptosystem from Sidon Spaces

Netanel Raviv*, Ben Langton, Itzhak Tamo

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

A Sidon space is a subspace of an extension field over a base field in which the product of any two elements can be factored uniquely, up to constants. This paper proposes a new a public-key cryptosystem of the multivariate type which is based on Sidon spaces, and has the potential to remain secure even if quantum supremacy is attained. This system, whose security relies on the hardness of the well-known MinRank problem, is shown to be resilient to several straightforward algebraic attacks. In particular, it is proved that the two popular attacks on the MinRank problem, the kernel attack and the minor attack, succeed only with exponentially small probability. The system is implemented in software, and its hardness is demonstrated experimentally.

Original languageEnglish
Title of host publicationPublic-Key Cryptography – PKC 2021 - 24th IACR International Conference on Practice and Theory of Public Key Cryptography, 2021, Proceedings
EditorsJuan A. Garay
PublisherSpringer Science and Business Media Deutschland GmbH
Pages242-265
Number of pages24
ISBN (Print)9783030752446
DOIs
StatePublished - 2021
Event24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021 - Virtual, Online
Duration: 10 May 202113 May 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12710 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021
CityVirtual, Online
Period10/05/2113/05/21

Funding

FundersFunder number
Engineering Research Centers852953
European Research Council
Israel Science Foundation1030/15

    Keywords

    • MinRank problem
    • Multivariate public key cryptosystem
    • Sidon spaces

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