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Paper 2020/100
A direct proof of APN-ness of the Kasami functions
Claude Carlet and Kwang Ho Kim and 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 $gcd(k,n)=1$, $x\in\GF{2^n}$
Metadata
- Available format(s)
-
PDF
- Category
- Secret-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- APN functionEquationMuller-Cohen-Matthews (MCM) polynomialDickson polynomialZeros of a polynomialIrreducible polynomial.
- Contact author(s)
- smesnager @ univ-paris8 fr
- History
- 2020-02-04: received
- Short URL
- https://ia.cr/2020/100
- License
-
CC BY
