A direct proof of APN-ness of the Kasami functions

被引：8

作者：

Carlet, Claude ^{[1
,2
,3
]}

Kim, Kwang Ho ^{[4
,5
]}

Mesnager, Sihem ^{[1
,2
,6
]}

机构：

[1] Univ Paris VIII, Dept Math, F-93526 St Denis, France

[2] Univ Sorbonne Paris Nord, LAGA, Lab Geometrie Anal & Applicat, CNRS,UMR 7539, F-93430 Villetaneuse, France

[3] Univ Bergen, Dept Informat, Bergen, Norway

[4] State Acad Sci, Inst Math, Pyongyang, North Korea

[5] PGItech Corp, Pyongyang, North Korea

[6] Telecom Paris, F-91120 Palaiseau, France

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2021年 / 89卷 / 03期

关键词：

APN function; Equation; Muller-Cohen-Matthews (MCM) polynomial; Dickson polynomial; Zeros of a polynomial; Irreducible polynomial;

D O I：

10.1007/s10623-020-00830-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using recent results on solving the equation X2k+1 + X + a = 0 over a finite field F-2n provided by the second and the third authors, we address an open question raised by the first author in WAIFI 2014 concerning the APN-ness of the Kasami functions x bar right arrow x(22k-)2(k)+ 1 with gcd(k, n) = 1, x is an element of F-2n

引用

页码：441 / 446

页数：6