Neighborhoods of Binary Self-Dual Codes

Authors

Carolin Hannusch Faculty of Informatics, University of Debrecen, Debrecen, Hungary https://orcid.org/0000-0002-0098-7293
S. Roland Major Faculty of Informatics, University of Debrecen, Debrecen, Hungary https://orcid.org/0009-0000-3323-3327

DOI:

https://doi.org/10.37256/cm.4420232397

Keywords:

Type I codes, Type II codes, binary self-dual codes, neighborhood

Abstract

In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give some new necessary conditions for the existence of a singly-even (56,28,12)-code and a doubly-even (72,36,16)-code.

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Published

2023-11-30

Issue

Contemporary Mathematics, Volume 4 Issue 4 (2023), 620-1346

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.