An infinite family of Goethals-Seidel arrays

Xia, M; Xia, Tianbing; Seberry, Jennifer

An infinite family of Goethals-Seidel arrays

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posted on 2024-11-15, 04:01 authored by M Xia, Tianbing XiaTianbing Xia, Jennifer SeberryJennifer Seberry

In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem: If q = 4n - 1 is a prime power = 3(mod 8), then there exists an Hadamard matrix of order 4n of Goethals-Seidel type

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Citation

This paper was originally published as Xia, M, Xia, T and Seberry, J, An infinite family of Goethals-Seidel arrays, Discrete Applied Mathematics, 145, 2005, 498-504. Copyright Elsevier 2005. Original journal available here.

Journal title

Discrete Applied Mathematics

Volume

145

Issue

3

Pagination

498-504

Publisher website/DOI

https://doi.org/10.1016/j.dam.2003.06.007

Language

English

RIS ID

13267

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Keywords

Hadamard matrix Goethals-Seidel array Galois fields

An infinite family of Goethals-Seidel arrays

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