✦ LIBER ✦

Secant Spaces and Clifford's Theorem over Finite Fields

✍ Scribed by S.G. Vladuts

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 283 KB
Volume: 4
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1997.0201

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✦ Synopsis

We present here a combinatorial approach to special divisors and secant divisors on curves over finite fields based on their relations with error-correcting codes. Applying to linear systems on curves over finite fields numerous coding theory bounds one gets a lot of bounds on their dimensions. This approach works for curves with many rational points, which leads, for example, to certain ameliorations of Clifford's theorem for such curves.

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