Properties of p-ary bent functions that are at minimal distance from each other
It is proved that, in the case of prime p, the minimal Hamming distance between distinct p-ary bent functions in 2n variables is equal to p n. It is shown that for p > 2 the number of p-ary bent functions being on the minimal distance from a quadratic bent function is equal to p n(p n-1 + 1) · · · (p+1)(p-1).