Smith-Tone, D.
and Tone, C.
(2019),
A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code, ePrint Archive, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=928818, https://eprint.iacr.org/2019/1355
(Accessed October 10, 2025)
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A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code
Published
Author(s)
, Cristina Tone
Abstract
We introduce a new technique for building multivariate encryption schemes based on random linear codes. The construction is versatile, naturally admitting multiple modifications. Among these modifications is an interesting embedding modifier -- any efficiently invertible multivariate system can be embedded and used as part of the inversion process. In particular, even small scale secure multivariate signature schemes can be embedded producing reasonably efficient encryption schemes. Thus this technique offers a bridge between multivariate signatures, many of which have remained stable and functional for many years, and multivariate encryption, a historically more troubling area.Citation
ePrint Archive
Volume
2019
Issue
1355
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Keywords
Multivariate Cryptography, encryption, MinRank
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Created November 23, 2019, Updated August 16, 2020