A direct proof of APN-ness of the Kasami functions

01/31/2020

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Using recent results on solving the equation X^2^k+1+X+a=0 over a finite field F_2^n, we address an open question raised by the first author in WAIFI 2014 concerning the APN-ness of the Kasami functions x x^2^2k-2^k+1 with gcd(k,n)=1, x∈F_2^n.

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A direct proof of APN-ness of the Kasami functions

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A lower bound on the number of inequivalent APN functions

Cantor-Bendixson ranks of countable SFTs

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A direct proof of APN-ness of the Kasami functions

Related Research

Solving X^2^2k+2^k+1+(X+1)^2^2k+2^k+1=b over 2^4k

On all Pickands Dependence Functions whose corresponding Extreme-Value-Copulas have Spearman ρ (Kendall τ) identical to some value v ∈ [0,1]

Application of Structured Matrices for Solving Hartree-Fock Equations

A lower bound on the number of inequivalent APN functions

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