On minimal distance between q-ary bent functions
Vladimir N. Potapov · 2016
The minimal Hamming distance between distinct p-ary bent functions of 2n variables is proved to be pn for any prime p. It is shown that the number of p-ary bent functions at the distance pn from the quadratic bent function is equal to pn(pn-1+ 1) ···(p + 1)(p-1) as p > 2.