English

On the Complexity of Exact Counting of Dynamically Irreducible Polynomials

Number Theory 2018-11-21 v2 Symbolic Computation Dynamical Systems

Abstract

We give an efficient algorithm to enumerate all sets of r1r\ge 1 quadratic polynomials over a finite field, which remain irreducible under iterations and compositions.

Keywords

Cite

@article{arxiv.1706.04392,
  title  = {On the Complexity of Exact Counting of Dynamically Irreducible Polynomials},
  author = {Domingo Gómez-Pérez and László Mérai and Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:1706.04392},
  year   = {2018}
}