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Fermat Curves over Finite Fields and Cyclic Subsets in High-Dimensional Projective Spaces

✍ Scribed by Gábor Korchmáros; Tamás Szőnyi

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 129 KB
Volume: 5
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0242

No coin nor oath required. For personal study only.

✦ Synopsis

Let GF(q) be the Galois field of order q"pF, and let m53 be an integer. An explicit formula for the number of GF(qK)-rational points of the Fermat curve XL#½L#ZL"0 is given when n divides (qK!1)/(q!1) and p is sufficiently large with respect to (qK!1)/(n(q!1)).

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