English

The search of Type I codes

Information Theory 2021-10-19 v1 Mathematical Software math.IT

Abstract

A self-dual binary linear code is called Type I code if it has singly-even codewords, i.e.~it has codewords with weight divisible by 2.2. The purpose of this paper is to investigate interesting properties of Type I codes of different lengths. Further, we build up a computer-based code-searching program based on our knowledge about Type I codes. Some computation results achieved by this program are given.

Keywords

Cite

@article{arxiv.2110.09244,
  title  = {The search of Type I codes},
  author = {Carolin Hannusch and Roland S. Major},
  journal= {arXiv preprint arXiv:2110.09244},
  year   = {2021}
}
R2 v1 2026-06-24T06:58:25.917Z