论文标题
功率APN函数CCZ与Kasami函数等于偶数
A power APN function CCZ-equivalent to Kasami function in even dimension
论文作者
论文摘要
令$ n $为一个偶数数字，以便$ n \ equiv 0 \ pmod {4} $。我们表明，功率函数$ x^d $，带有$ d = 2^{\ frac {n+2} {2}}}+2^{\ frac {n-2} {2}} {2}} - 1 $，on $ \ mathbb {f} _ {2^n} $是$ n/2 $的apn function ccc- $ n/2 $和$（n+4）/2 $。
Let $n$ be an even number such that $n\equiv 0 \pmod{4}$. We show that a power function $x^d$, with $d=2^{\frac{n+2}{2}}+2^{\frac{n-2}{2}}-1$, on $\mathbb{F}_{2^n}$ is an APN function of degree $n/2$ which is CCZ-equivalent to Kasami functions of degrees $n/2$ and $(n+4)/2$.
