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A family of supplementary difference sets

Published online by Cambridge University Press:  17 April 2009

Emma Lehmer
Emma Lehmer
Affiliation:
Berkeley, California, USA.
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Abstract

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This note exhibits a family of m – (ν, k, λ) supplementary difference sets with parameters ν = 2mf + 1, where ν = p is a prime and f is odd, k = mf and λ = m(mf−1)/2. These sets are composed of a union of cosets of 2m-th power residues of p.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 1 , August 1974 , pp. 1 - 4
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Szekeres, G., “Cyclotomy and complementary difference sets”, Acta Arith. 18 (1971), 349–353.CrossRefGoogle Scholar
[2]Wallis, Jennifer, “On supplementary difference sets”, Aequationes Math. 8 (1972), 242–257.CrossRefGoogle Scholar
[3]Wallis, Jennifer and Whiteman, Albert Leon, “Some classes of Hadamard matrices with constant diagonal”, Bull. Austral. Math. Soc. 7 (1972), 233–249.CrossRefGoogle Scholar