On the existence of $s$-extremal singly even self-dual codes

Masaaki Harada

On the existence of $s$-extremal singly even self-dual codes

Combinatorics 2020-08-31 v2 Information Theory math.IT

Authors: Masaaki Harada

Abstract

We construct new $s$ -extremal singly even self-dual codes of minimum weights $8,10,12$ and $14$ . We also give tables for the currently known results on the existence of $s$ -extremal singly even self-dual codes of minimum weights $8,10,12$ and $14$ .

Keywords

s-extremal code singly even self-dual code minimum weight code existence coding theory

Cite

@article{arxiv.2004.05330,
  title  = {On the existence of $s$-extremal singly even self-dual codes},
  author = {Masaaki Harada},
  journal= {arXiv preprint arXiv:2004.05330},
  year   = {2020}
}

Comments

16 pages

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