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.

On properties of translation groups in the affine general linear group with applications to cryptography / Calderini, Marco; Civino, Roberto; Sala, Massimiliano. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 569:(2021), pp. 658-680. [10.1016/j.jalgebra.2020.10.034]

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

Calderini, Marco;Civino, Roberto;Sala, Massimiliano
2021-01-01

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.
2021
Calderini, Marco; Civino, Roberto; Sala, Massimiliano
On properties of translation groups in the affine general linear group with applications to cryptography / Calderini, Marco; Civino, Roberto; Sala, Massimiliano. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 569:(2021), pp. 658-680. [10.1016/j.jalgebra.2020.10.034]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/298451
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