English

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

Combinatorics 2024-02-20 v1

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 3636 for some types. We also study ternary self-dual codes and association schemes constructed from the skew Hadamard matrices of order 3636.

Keywords

Cite

@article{arxiv.2402.11074,
  title  = {On the classification of skew Hadamard matrices of order 36 and related structures},
  author = {Makoto Araya and Masaaki Harada and Hadi Kharaghani and Ali Mohammadian and Behruz Tayfeh-Rezaie},
  journal= {arXiv preprint arXiv:2402.11074},
  year   = {2024}
}