Research Article

A Class of New Permutation Polynomials over

Table 1

Normalized permutation polynomials with degree no greater than 5 in .

Normalized permutation polynomial

All
Even
( is not a square of )
(0 is a unique solution in )Even
( is not a fourth power of )
( is not a square of )
(all )
( is not a square of )
( is not a square of )