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Nonexistence of certain supplementary difference sets
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper finds restrictions on the parameters of supplementary difference sets in any group G with a subgroup of index 2, which therefore includes all cyclic groups of even orders. As a corollary to the main theorem, we have that if S1, …, Sr are r − {2v, k1, …, kr; 2λ} supplementary difference sets in such a group, then not all of v, k1, …, kr, λ are odd; also is the sum of r squares.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 343 - 348
- Copyright
- Copyright © Australian Mathematical Society 1975
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