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On a problem of K. A. Bush concerning Hadamard matrices

Published online by Cambridge University Press:  17 April 2009

W.D. Wallis
W.D. Wallis
Affiliation:
The University of Newcastle, Newcastle, New South Wales.
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Abstract

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K.A. Bush has asked whether there is a symmetric Hadamard matrix of order m2, m even, which can be partitioned into an m × m array of m × m blocks, such that:

(i) each diagonal block has every entry 1;

(ii) each non-diagonal block has every row-sum zero?

We give two ways of constructing such matrices.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 3 , June 1972 , pp. 321 - 326
Copyright
Copyright © Australian Mathematical Society 1972

References

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