Symmetric Bush-type Hadamard matrices of order 4m 4 exist for all odd m

Mikhail Muzychuk; Qing Xiang

doi:10.1090/S0002-9939-06-08229-3

Symmetric Bush-type Hadamard matrices of order 4m ⁴ exist for all odd m

Mikhail Muzychuk, Qing Xiang

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order 4m ⁴ for all odd integers m.

Original language	English
Pages (from-to)	2197-2204
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-06-08229-3
State	Published - 1 Aug 2006
Externally published	Yes

Keywords

Bush-type Hadamard matrix
Hadamard difference set
Hadamard matrix
Reversible Hadamard difference set
Strongly regular graph

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-06-08229-3

Cite this

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title = "Symmetric Bush-type Hadamard matrices of order 4m 4 exist for all odd m",

abstract = "Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order 4m 4 for all odd integers m.",

keywords = "Bush-type Hadamard matrix, Hadamard difference set, Hadamard matrix, Reversible Hadamard difference set, Strongly regular graph",

author = "Mikhail Muzychuk and Qing Xiang",

year = "2006",

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N2 - Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order 4m 4 for all odd integers m.

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KW - Bush-type Hadamard matrix

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KW - Reversible Hadamard difference set

KW - Strongly regular graph

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