Cyclotomy and permutation polynomials of large indices
We use cyclotomy to construct new classes of permutation polynomials over finite fields. This allows us to generate permutation polynomials in an algorithmic way and also to unify several previous constructions. Many permutation polynomials constructed in this way have large indices.
|Keywords||Cyclotomic mappings, Cyclotomy, Finite fields, Permutation polynomials, Polynomials|
|Journal||Finite Fields and their Applications|
Wang, Q. (2013). Cyclotomy and permutation polynomials of large indices. Finite Fields and their Applications, 22, 57–69. doi:10.1016/j.ffa.2013.02.005