English

Jacobi polynomials for the first-order generalized Reed--Muller codes

Combinatorics 2024-02-27 v4

Abstract

In this paper, we give the Jacobi polynomials for first-order generalized Reed--Muller codes. We show as a corollary the nonexistence of combinatorial 33-designs in these codes.

Keywords

Cite

@article{arxiv.2309.01119,
  title  = {Jacobi polynomials for the first-order generalized Reed--Muller codes},
  author = {Ryosuke Yamaguchi},
  journal= {arXiv preprint arXiv:2309.01119},
  year   = {2024}
}

Comments

15 pages

R2 v1 2026-06-28T12:11:25.092Z