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 $36$.
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Araya et al. (2024) studied this question.
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