一类幂函数在Fpn上的差分谱

Differential Spectrums for a Class of Power Functions over F_(p^n)

设p为奇素数,n,k为满足n/e为奇数的正整数,其中e=gcd(n,k).文章研究一类幂函数在F_(p^n)上的差分谱,其指数d满足同余方程d(p^k+1)≡2(mod p^n-1).这类指数将Sung-Tai Choi等人(2013)研究的幂函数所对应的两类指数进行了统一和推广.

Let p be an odd prime and n, k be integers such that n/e- is odd, where e = gcd（n, k）. In this paper, we determine the differential spectrums for a class of power functions over Fpn with the exponent d satisfying d（pk ＋ 1） ≡ 2（modpn - 1）. These exponents are the unification and generalization of the two class of exponents investigated by Sung-Tai Choi, et al. （2013）.