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Cyclic affine planes and Paley difference sets

✍ Scribed by K.T. Arasu; Alexander Pott

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
350 KB
Volume
106-107
Category
Article
ISSN
0012-365X

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✦ Synopsis

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.

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