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On Hadamard matrices of order 2( p +1) with an automorphism of odd prime order p
Author(s) -
Dalan Daniel B.,
Harada Masaaki,
Munemasa Akihiro
Publication year - 2003
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.10052
Subject(s) - hadamard transform , mathematics , order (exchange) , automorphism , prime (order theory) , combinatorics , hadamard matrix , discrete mathematics , mathematical analysis , finance , economics
In this paper, we investigate Hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p . In particular, the classification of such Hadamard matrices for the cases p = 19 and 23 is given. Self‐dual codes related to such Hadamard matrices are also investigated. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 367–380, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10052