On affine difference sets and their multipliers
โ Scribed by Yutaka Hiramine
- Book ID
- 108114033
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 465 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
We investigate multipliers of 2-{v; q2,q2; )~} supplementary difference sets where cyclotomy has been used to construct D-optimal designs.
The existence of a cyclic affine plane implies the existence of a Paley type difference set. We use the existence of this difference set to give the following condition on the existence of cyclic affine planes of order n: If n -8 mod 16 then n -1 must be a prime. We discuss the structure of the Pale
It is shown that every abelian relative (m,n,m -1,(m 2 )/n )-difference set admits m 1 as a multiplier. ## 1. Relative difference sets and multipliers A relative (m, n, k, ).)-difference set in a finite group G of order mn relative to a \* Corresponding author.