Cyclic Affine Planes and Paley Difference Sets
Document Type
Article
Publication Date
9-1-1992
Abstract
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 Paley type difference set constructed from the plane.
Repository Citation
Arasu, K. T.,
& Pott, A.
(1992). Cyclic Affine Planes and Paley Difference Sets. Discrete Mathematics, 106-107 (C), 19-23.
https://corescholar.libraries.wright.edu/math/582
DOI
10.1016/0012-365X(92)90525-K
