A V Menyachikhin

On the difference characteristics of piecewise-linear permutations of the field F2n $\mathbb{F}_{2^{n}}$

2025 · Discrete Mathematics and Applications

Abstract We obtain upper and lower estimates for the difference characteristics of permutations of the field <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mi mathvariant="double-struck">F</m:mi> </m:mrow> <m:mrow> <m:msup> <m:mn>2</m:mn> <m:mrow> <m:mi>n</m:mi> </m:mrow> </m:msup> </m:mrow> </m:msub> </m:math> $\mathbb{F}_{2^{n}}$ whose …