A survey on modular Hadamard matrices

Eliahou, Shalom; Kervaire, Michel

doi:10.1016/j.disc.2005.02.021

Scientific article

English

A survey on modular Hadamard matrices

Contributors

Eliahou, Shalom; Kervaire, Michel

Published in

Discrete mathematics, vol. 302, no. 1-3, p. 85-106

Publication date

2005

Abstract

We provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are based onthe descriptionof several families of modular Golay pairs and quadruples. Higher moduli are also considered, such as 48, 64, 128 and 192. Finally, we exhibit infinite families of circulant modular Hadamard matrices of various types for suitable moduli and sizes.

Keywords

Modular Hadamard matrices
Circulant matrices
Golay complementary sequences

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ELIAHOU, Shalom, KERVAIRE, Michel. A survey on modular Hadamard matrices. In: Discrete mathematics, 2005, vol. 302, n° 1-3, p. 85–106. doi: 10.1016/j.disc.2005.02.021

Article (Published version)

Identifiers

PID : unige:12201
DOI : 10.1016/j.disc.2005.02.021

Additional URL for this publication

http://linkinghub.elsevier.com/retrieve/pii/S0012365X05002918

Journal ISSN

0012-365X

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A survey on modular Hadamard matrices

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