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Kummer Covers with Many Points

✍ Scribed by Gerard van der Geer; Marcel van der Vlugt


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
145 KB
Volume
6
Category
Article
ISSN
1071-5797

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πŸ“œ SIMILAR VOLUMES


Binary caps with many free pairs of poin
✍ Petr LisonΔ›k πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 115 KB

## Abstract We introduce the following new viewpoint in the study of caps in PG(__m__,__q__). The objective is to maximize, among all caps of given cardinality in a given projective space, the number of free pairs of points, which we define as pairs of points not participating in any coplanar quadr

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Words of low weight in trace codes correspond to curves with many points and the same holds for subcodes of low weight via the fibre product construction. In 1996 Heijnen and Pellikaan gave an algorithm to determine a basis of minimum weight subcodes of generalized Reed Muller codes. We show how thi

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We establish a correspondence between a class of Kummer extensions of the rational function "eld and con"gurations of hyperplanes in an a$ne space. Using this correspondence, we obtain explicit curves over "nite "elds with many rational points. Some of our examples almost attain the OesterleH bound.

On Drinfeld Modular Curves with Many Rat
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It is known that Drinfeld modular curves can be used to construct asymptotically optimal towers of curves over finite fields. Using reductions of the Drinfeld modular curves X 0 ðnÞ, we try to find individual curves over finite fields with many rational points. The main idea is to divide by an Atkin