Collection of Polynomials over Finite Fields Providing Involutary Permutations

P Vanchinathan; Kevinsam B

Collection of Polynomials over Finite Fields Providing Involutary Permutations

Combinatorics 2023-06-30 v1 Number Theory

Authors: P Vanchinathan , Kevinsam B

Abstract

For an odd prime power $q$ satisfying $q\equiv 1\pmod 3$ we construct totally $2(q-1)$ permutation polyomials, all giving involutory permutations with exactly $1+ \frac{q-1}3$ fixed points. Among them $(q-1)$ polynomials are trinomials, and the rest are 6-term polynomials.

Keywords

permutation polynomials finite fields involutory permutations fixed points trinomials

Cite

@article{arxiv.2306.16038,
  title  = {Collection of Polynomials over Finite Fields Providing Involutary Permutations},
  author = {P Vanchinathan and Kevinsam B},
  journal= {arXiv preprint arXiv:2306.16038},
  year   = {2023}
}

Comments

10 pages; Comments welcome!

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