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A direct proof of APN-ness of the Kasami functions
January 31, 2020 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Claude Carlet, Kwang Ho Kim, Sihem Mesnager
arXiv ID
2002.00050
Category
cs.IT: Information Theory
Cross-listed
cs.CR
Citations
7
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
Using recent results on solving the equation $X^{2^k+1}+X+a=0$ over a finite field $\mathbb{F}_{2^n}$, we address an open question raised by the first author in WAIFI 2014 concerning the APN-ness of the Kasami functions $x\mapsto x^{2^{2k}-2^k+1}$ with $gcd(k,n)=1$, $x\in\mathbb{F}_{2^n}$.
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