On properties of translation groups in the affine general linear group with applications to cryptography
Journal article, Peer reviewed
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OriginalversjonJournal of Algebra. 2021, 569, 658-680 https://doi.org/10.1016/j.jalgebra.2020.10.034
The affine general linear group acting on a vector space over a prime field is a well-understood mathematical object. Its elementary abelian regular subgroups have recently drawn attention in applied mathematics thanks to their use in cryptography as a way to hide or detect weaknesses inside block ciphers. This paper is focused on building a convenient representation of their elements which suits better the purposes of the cryptanalyst. Several combinatorial counting formulas and a classification of their conjugacy classes are given as well.