A note on the Assmus--Mattson theorem for some binary codes II
Combinatorics
2023-03-15 v4 Information Theory
Group Theory
math.IT
Number Theory
Abstract
Let be a four-weight binary code, which has all one vector. Furthermore, we assume that supports -designs for all weights obtained from the Assmus--Mattson theorem. We previously showed that . In the present paper, we show an analogue of this result in the cases of five and six-weight codes.
Keywords
Cite
@article{arxiv.2208.09077,
title = {A note on the Assmus--Mattson theorem for some binary codes II},
author = {Eiichi Bannai and Tsuyoshi Miezaki and Hiroyuki Nakasora},
journal= {arXiv preprint arXiv:2208.09077},
year = {2023}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2208.08617