Back to Search Start Over

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

Authors :
Araya, Makoto
Harada, Masaaki
Kharaghani, Hadi
Mohammadian, Ali
Tayfeh-Rezaie, Behruz
Source :
Designs, Codes & Cryptography; Oct2024, Vol. 92 Issue 10, p3049-3062, 14p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
HADAMARD matrices
CLASSIFICATION

Details

Language :
English
ISSN :
09251022
Volume :
92
Issue :
10
Database :
Complementary Index
Journal :
Designs, Codes & Cryptography
Publication Type :
Academic Journal
Accession number :
179711690
Full Text :
https://doi.org/10.1007/s10623-024-01427-5