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A new class of Hadamard matrices

Published online by Cambridge University Press:  18 May 2009

E. Spence
E. Spence
Affiliation:
University of GlasgowGlasgow, W.2
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A Hadamard matrix H is an orthogonal square matrix of order m all the entries of which are either + 1 or - 1; i. e.

where H′ denotes the transpose of H and Im is the identity matrix of order m. For such a matrix to exist it is necessary [1] that

It has been conjectured, but not yet proved, that this condition is also sufficient. However, many values of m have been found for which a Hadamard matrix of order m can be constructed. The following is a list of such m (p denotes an odd prime).

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 8 , Issue 1 , January 1967 , pp. 59 - 62
Copyright
Copyright © Glasgow Mathematical Journal Trust 1967

References

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