A. V. Menyachikhin, “On linear equivalence of piecewise-linear permutations of the field <nobr>$\mathbb{F}_{2^{n}}$</nobr>”, Diskr. Mat., 2023, Volume 35, Issue 3,Pages <nobr>37

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On linear equivalence of piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$

A. V. Menyachikhin

TVP Laboratories

Abstract: We study conditions for linear equivalence of piecewise-linear and partially defined piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$.

Keywords: nonlinear mixing transform, permutation of a finite field, orthomorphism, involution, $s$-box, piecewise-linear mapping, adapted spectral-differential method.

UDC: 519.719.2+512.542.74

Received: 11.01.2023

DOI: 10.4213/dm1758