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A construction for certain classes of supplementary difference sets
Published online by Cambridge University Press: 09 April 2009
Abstract
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