On the Assmus--Mattson type theorem for Type I and even formally self-dual codes
Combinatorics
2023-03-27 v2 Information Theory
Group Theory
math.IT
Abstract
In the present paper, we give the Assmus--Mattson type theorem for near-extremal Type I and even formally self-dual codes. We show the existence of -designs or -designs for these codes. As a corollary, we prove the uniqueness of a self-orthogonal - design.
Keywords
Cite
@article{arxiv.2208.08617,
title = {On the Assmus--Mattson type theorem for Type I and even formally self-dual codes},
author = {Tsuyoshi Miezaki and Hiroyuki Nakasora},
journal= {arXiv preprint arXiv:2208.08617},
year = {2023}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:2004.03396, arXiv:1805.10019