English

Weight enumerators, intersection enumerators and Jacobi polynomials II

Combinatorics 2022-07-12 v2 Group Theory Number Theory

Abstract

In the present paper, we introduce the concepts of Jacobi polynomials and intersection enumerators of codes over Fq\mathbb{F}_q and Zk\mathbb{Z}_{k} for arbitrary genus gg. We also discuss the interrelation among them. Finally, we give the MacWilliams type identities for Jacobi polynomials.

Keywords

Cite

@article{arxiv.2111.10162,
  title  = {Weight enumerators, intersection enumerators and Jacobi polynomials II},
  author = {Himadri Shekhar Chakraborty and Tsuyoshi Miezaki and Manabu Oura},
  journal= {arXiv preprint arXiv:2111.10162},
  year   = {2022}
}

Comments

17 pages

R2 v1 2026-06-24T07:44:44.689Z