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A construction for certain classes of supplementary difference sets

Published online by Cambridge University Press:  09 April 2009

Joan Cooper
Joan Cooper
Affiliation:
Mathematics Department, University of NewcastleNewcastle, N.S.W. 2308Australia.
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Abstract

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Let ν = ef + 1 be a prime power, and consider G the cyclic group of order ν − 1 with e cosets Ci, of order f defined as Ci = {xej+i: 0 ≦ j ≦ f − 1} and 0 ≦ i ≦ e − 1, where x is a primitive element of GF(pα) and a generator of G. By using these cosets we give a simple construction for certain classes of Supplementary Difference Sets, Difference Sets, and Szekeres Difference Sets. These classes are not new, but the simple method of construction is original.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 182 - 187
Copyright
Copyright © Australian Mathematical Society 1976

References

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