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An infinite family of Williamson matrices

Published online by Cambridge University Press:  09 April 2009

Edward Spence
Edward Spence
Affiliation:
University of GlasgowGlasgow G12 8QW, Scotland
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Abstract

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In this paper the following result is proved. Suppose there exists a C-matrix of order n + 1. Then if n≡1 (mod 4) there exists a Hadamard matrix of order 2nr(n + 1), while if n≡3 (mod 4) there exists a Hadamard matrix of order nr(n + 1) for all r ≧0. If n≡1 (mod 4) is a prime power, the method is adapted to prove the existence of a Hadamard matrix of the Williamson type, of order 2nr(n + 1), for all r ≧0.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 2 , September 1977 , pp. 252 - 256
Copyright
Copyright © Australian Mathematical Society 1977

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