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Affine difference sets of even order

โœ Scribed by K.T Arasu; Dieter Jungnickel


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
493 KB
Volume
52
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Cyclic affine planes of even order
โœ K.T. Arasu ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

In this paper, we prove the following theorem: Suppose there exists a cyclic afhne plane of even order n. Then (a) either n = 2 or n = 0 (mod 4), and (b) for each prime divisor p of n, we have either (p/q) = 1 for each prime q 1 n2 -1 or for some positive integer r (which depends on p), n+lIp'+land

Cyclic affine planes and Paley differenc
โœ K.T. Arasu; Alexander Pott ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

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