A direct proof of APN-ness of the Kasami functions

01/31/2020

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by   Claude Carlet, et al.

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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.