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Neighborhoods of binary self-dual codes
- Publication Year :
- 2022
-
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.
- Subjects :
- Computer Science - Information Theory
Computer Science - Discrete Mathematics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2206.05588
- Document Type :
- Working Paper