Abstract: In this paper we consider the problem of characterizing permutation polynomials of the shape ܲ(ݔ) = ݔ + ߛ݂(ݔ) + ߜ ݃(ݔ) + ݈߬(ݔ) over the field ܨ௤; that is, we seek conditions on the coefficients of a polynomial which are necessary for it to represent a permutation.

Keywords: finite field, permutation polynomial, linear translator

Link:

A METHOD OF CONSTRUCTING PERMUTATION POLYNOMIALS OVER FINITE FIELDS

Melsik Kyureghyan, Sergey Abrahamyan

http://www.foibg.com/ijita/vol19/ijita19-4-p07.pdf