English

Evaluation of iterated Ore polynomials and skew Reed-Muller codes

Information Theory 2026-03-03 v1 math.IT Rings and Algebras

Abstract

In this paper, we study two ways of evaluating iterated Ore polynomials. We provide many examples and compare these evaluations. We use the evaluation maps to construct Reed-Muller codes and compute explicitly some of the data that are associated to such codes.

Keywords

Cite

@article{arxiv.2603.01287,
  title  = {Evaluation of iterated Ore polynomials and skew Reed-Muller codes},
  author = {Andre Leroy and Nabil Bennenni},
  journal= {arXiv preprint arXiv:2603.01287},
  year   = {2026}
}

Comments

12 pages