A few more functions that are not APN infinitely often - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Contemporary mathematics Année : 2010

A few more functions that are not APN infinitely often

Résumé

We consider exceptional APN functions on ${\bf F}_{2^m}$, which by definition are functions that are not APN on infinitely many extensions of ${\bf F}_{2^m}$. Our main result is that polynomial functions of odd degree are not exceptional, provided the degree is not a Gold member ($2^k+1$) or a Kasami-Welch number ($4^k-2^k+1$). We also have partial results on functions of even degree, and functions that have degree $2^k+1$.
Fichier principal
Vignette du fichier
YAFRGMG.rerevised.pdf (132.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00415755 , version 1 (11-09-2009)
hal-00415755 , version 2 (13-11-2009)

Identifiants

Citer

Yves Aubry, Gary Mcguire, François Rodier. A few more functions that are not APN infinitely often. Contemporary mathematics, 2010, 518, pp.23--31. ⟨10.1090/conm/518⟩. ⟨hal-00415755v2⟩
192 Consultations
230 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More