Abstract: In this paper we consider the problem of characterizing permutation polynomials of the shape over the field ; 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/vol17/ijita17-4-p03.pdf