[Resource Topic] 2020/100: A direct proof of APN-ness of the Kasami functions

Welcome to the resource topic for 2020/100

Title:
A direct proof of APN-ness of the Kasami functions

Authors: Claude Carlet, Kwang Ho Kim, Sihem Mesnager

Abstract:

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

ePrint: https://eprint.iacr.org/2020/100

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