2023
DOI: 10.1109/access.2023.3328215
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Using Linearizing Sets to Solve Multivariate Quadratic Equations in Algebraic Cryptanalysis

Alexander Semenov,
Kirill Antonov,
Stepan Kochemazov
et al.

Abstract: In this paper we describe a class of cryptographic guess-and-determine attacks which is based on the notion of a linearizing set. A linearizing set-based attack is applied to a system of Multivariate Quadratic equations (MQ) over GF(2) field, which encodes how a considered cryptographic function works. By substituting into such MQ system a random (in some strict sense) assignment of variables from a linearizing set we aim to transform the system into a linear one. We introduce a probability of such an event an… Show more

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