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A skew-Hadamard matrix of order 92

Published online by Cambridge University Press:  17 April 2009

Jennifer Wallis
Jennifer Wallis
Affiliation:
University of Newcastle, New South Wales.
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Abstract

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There is a skew-Hadamard matrix of order 92.

Previously the smallest order for which a skew-Hadamard matrix was not known was 92. We construct such a matrix below. The orders < 200 which are now undecided are 100, 116, 148, 156, 172, 188, 196; see [2], [3]. The existence of any Hadamard matrix of order 92 was unknown until 1962 [1].

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 203 - 204
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Baumert, Leonard, Golomb, S.W. and Hall, Marshall Jr, “Discovery of an Hadamard matrix of order 92”, Bull. Amer. Math. Soc. 68 (1962), 237–238.CrossRefGoogle Scholar
[2]Wallis, Jennifer, “(v, k, λ) configurations and Hadamard matrices”, J. Austral. Math. Soc. 11 (1970), 297–309.CrossRefGoogle Scholar
[3]Whiteman, Albert Leon, “An infinite family of skew Hadamard matrices”, (to appear).Google Scholar