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arXiv · 1702.00581

On properties of translation groups in the affine general linear group with applications to cryptography

Marco Calderini·Roberto Civino·Massimiliano Sala
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Abstract

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.

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Marco Calderini, Roberto Civino, Massimiliano Sala. 2020-11-20. On properties of translation groups in the affine general linear group with applications to cryptography. https://arxiv.org/abs/1702.00581

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