English

Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields

Number Theory 2019-05-30 v1

Abstract

In this paper we continue the study of codes over imaginary quadratic fields and their weight enumerators and theta functions. We present new examples of non-equivalent codes over rings of characteristic p=2p=2 and p=5p=5 which have the same theta functions. We also look at a generalization of codes over imaginary quadratic fields, providing examples of non-equivalent pairs with the same theta function for p=3p=3 and p=5p=5.

Keywords

Cite

@article{arxiv.1309.3812,
  title  = {Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields},
  author = {Tony Shaska and Caleb Shor},
  journal= {arXiv preprint arXiv:1309.3812},
  year   = {2019}
}
R2 v1 2026-06-22T01:27:29.194Z