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

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

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 H...

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2024, Vol.92 (10), p.3049-3062
Hauptverfasser: Araya, Makoto, Harada, Masaaki, Kharaghani, Hadi, Mohammadian, Ali, Tayfeh-Rezaie, Behruz
Format: Artikel
Sprache:eng
Schlagworte:
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
Permutations
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Zusammenfassung: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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-024-01427-5