On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p

Daniel B. Dalan; Masaaki Harada; Akihiro Munemasa

doi:10.1002/jcd.10052

On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p

Daniel B. Dalan, Masaaki Harada, Akihiro Munemasa

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	367-380
Number of pages	14
Journal	Journal of Combinatorial Designs
Volume	11
Issue number	5
DOIs	https://doi.org/10.1002/jcd.10052
Publication status	Published - 2003 Dec 1
Externally published	Yes

Keywords

Automorphism
Hadamard design
Hadamard matrix
Self-dual code

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Access to Document

10.1002/jcd.10052

Fingerprint Dive into the research topics of 'On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p'. Together they form a unique fingerprint.

Cite this

@article{ace61257869a419e96307c79ddc0a834,

title = "On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p",

abstract = "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.",

keywords = "Automorphism, Hadamard design, Hadamard matrix, Self-dual code",

author = "Dalan, {Daniel B.} and Masaaki Harada and Akihiro Munemasa",

year = "2003",

month = dec,

day = "1",

doi = "10.1002/jcd.10052",

language = "English",

volume = "11",

pages = "367--380",

journal = "Journal of Combinatorial Designs",

issn = "1063-8539",

publisher = "John Wiley and Sons Inc.",

number = "5",

}

TY - JOUR

T1 - On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p

AU - Dalan, Daniel B.

AU - Harada, Masaaki

AU - Munemasa, Akihiro

PY - 2003/12/1

Y1 - 2003/12/1

N2 - 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.

AB - 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.

KW - Automorphism

KW - Hadamard design

KW - Hadamard matrix

KW - Self-dual code

UR - http://www.scopus.com/inward/record.url?scp=0242636899&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242636899&partnerID=8YFLogxK

U2 - 10.1002/jcd.10052

DO - 10.1002/jcd.10052

M3 - Article

AN - SCOPUS:0242636899

VL - 11

SP - 367

EP - 380

JO - Journal of Combinatorial Designs

JF - Journal of Combinatorial Designs

SN - 1063-8539

IS - 5

ER -