论文标题
卡萨米功能的直接证明
A direct proof of APN-ness of the Kasami functions
论文作者
论文摘要
利用求解方程的最新结果$ x^{2^k+1}+x+a = 0 $上的有限字段$ \ mathbb {f} _ {2^n} $，我们解决了第一作者在Waifi 2014中提出的一个空旷的问题，该问题与Kasami函数的apn-ness有关$ gcd（k，n）= 1 $，$ x \ in \ mathbb {f} _ {2^n} $。
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 $gcd(k,n)=1$, $x\in\mathbb{F}_{2^n}$.
