A class of APcN power functions over finite fields of even characteristic

In this paper, we investigate the power functions F (x) = x over the finite field F24n , where n is a positive integer and d = 2 3n+22n+2n−1. It is proved that F (x) = x is APcN at certain c’s in F24n , and it is the second class of APcN power functions over finite fields of even characteristic. Further, the c-differential spectrum of these power functions is also determined.