A note on the Assmus--Mattson theorem for some ternary codes (a resume)
Combinatorics
2024-02-21 v2 Information Theory
math.IT
Abstract
Let be a two and three-weight ternary code. Furthermore, we assume that are -designs for all by the Assmus--Mattson theorem. We show that . As a corollary, we provide a new characterization of the (extended) ternary Golay code.
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Cite
@article{arxiv.2309.08081,
title = {A note on the Assmus--Mattson theorem for some ternary codes (a resume)},
author = {Eiichi Bannai and Tsuyoshi Miezaki and Hiroyuki Nakasora},
journal= {arXiv preprint arXiv:2309.08081},
year = {2024}
}
Comments
6 pages, this is a resume of "A note on the Assmus--Mattson theorem for some ternary codes"