English

On the cycle index and the weight enumerator

Combinatorics 2020-02-27 v3 Group Theory

Abstract

In this paper, we introduce the concept of the complete cycle index and discuss a relation with the complete weight enumerator in coding theory. This work was motivated by Cameron's lecture note "Polynomial aspects of codes, matroids and permutation groups."

Cite

@article{arxiv.1801.05899,
  title  = {On the cycle index and the weight enumerator},
  author = {Tsuyoshi Miezaki and Manabu Oura},
  journal= {arXiv preprint arXiv:1801.05899},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-22T23:48:24.069Z