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Hadamard matrices of Williamson type

Published online by Cambridge University Press:  09 April 2009

Albert Leon Whiteman
Albert Leon Whiteman
Affiliation:
University of Southern California, Los Angeles California, U.S.A.
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Abstract

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Let p be a prime ≡ 1 (mod 4) and put v = p(p + 1)/2. It is proved in this paper that there exist four symmetric circulant matrices A, B, C, D of order υ such that where Iv is the identity matrix of order υ. This result is used to construct Hadamard matrices of order 4υ that are of the type originally prescribed by Williamson.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 4 , June 1976 , pp. 481 - 486
Copyright
Copyright © Australian Mathematical Society 1976

References

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