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arXiv · 2402.11074

On the classification of skew Hadamard matrices of order 36 and related structures

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

Two skew Hadamard matrices are considered {\sf SH}-equivalent if they are similar by a signed permutation matrix. This paper determines the number of {\sf 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 $36$.

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Makoto Araya, Masaaki Harada, Hadi Kharaghani, Ali Mohammadian, Behruz Tayfeh-Rezaie. 2024-02-16. On the classification of skew Hadamard matrices of order 36 and related structures. https://arxiv.org/abs/2402.11074

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