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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2023 Volume 35, Issue 3, Pages 37–44 (Mi dm1758)

This article is cited in 1 paper

On the linear equivalence of piecewise-linear permutations of the field $F_{2^n}$

A. V. Menyachikhin

TVP Laboratories

Abstract: We investigate conditions guaranteering the linear equivalence of piecewise-linear and partitially defined piecewise-linear permutations of the field $F_{2^n}$.

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

UDC: 519.719.2+512.542.74

Received: 11.01.2023

DOI: 10.4213/dm1758



© Steklov Math. Inst. of RAS, 2024