New extremal singly even self-dual codes of lengths $64$ and $66$
Combinatorics
2020-11-20 v1 Information Theory
math.IT
Abstract
For lengths and , we construct extremal singly even self-dual codes with weight enumerators for which no extremal singly even self-dual codes were previously known to exist. We also construct new inequivalent extremal doubly even self-dual codes with covering radius meeting the Delsarte bound.
Keywords
Cite
@article{arxiv.1708.05950,
title = {New extremal singly even self-dual codes of lengths $64$ and $66$},
author = {Damyan Anev and Masaaki Harada and Nikolay Yankov},
journal= {arXiv preprint arXiv:1708.05950},
year = {2020}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1706.01694