On the classification of skew Hadamard matrices of order \(\varvec{36}\) and related structures

期刊论文
发表日期：

2024年6月7日

查看全文

Makoto Araya,
Masaaki Harada,
Hadi Kharaghani,
Ali Mohammadian,
Behruz Tayfeh-Rezaie

摘要

Two skew Hadamard matrices are considered SH-equivalent if they are similar by a signed permutation matrix. This paper determines the number of SH-inequivalent skew Hadamard matrices of order 36 for some types. We also study ternary self-dual codes and association schemes constructed from the skew Hadamard matrices of order 36.