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

DOI10.1007/s10623-024-01427-5zbMATH Open1548.05059MaRDI QIDQ6618626

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

Publication date: 14 October 2024

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

classificationassociation schemeskew Hadamard matrixternary self-dual code

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Boolean and Hadamard matrices (15B34)

Cites Work

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• Classification algorithms for codes and designs
• A note on Assmus-Mattson type theorems
• Classification of Hadamard matrices of order 28
• The Magma algebra system. I: The user language
• Practical graph isomorphism. II.
• Some \((1, -1)\) matrices
• Doubly regular tournaments are equivalent to skew Hadamard matrices
• On orthogonal matrices.
• Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes
• On the classification of Hadamard matrices of order 32
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Hadamard Matrices of Order 32
• Hadamard matrices with few distinct types
• An upper bound for self-dual codes
• A Hadamard matrix of order 428
• Classification of skew‐Hadamard matrices of order 32 and association schemes of order 31

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