Secant spaces and Clifford's theorem over finite fields

DOI10.1006/ffta.1997.0201zbMath0908.14008OpenAlexW2039452461MaRDI QIDQ1267010

S. G. Vleduts

Publication date: 10 March 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1997.0201

zbMATH Keywords

coding theorydivisorsClifford's theoremcurves over a finite fieldcurves with many rational points

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Number of points of an algebraic curve
• Linear codes and modular curves
• Primitive linear series on curves
• Asymptotic properties of zeta-functions
• Notes on the asymptotic behavior of the information rate of block codes (Corresp.)
• Generalized Hamming weights for linear codes
• Generalized Hamming weights of linear codes
• The weight hierarchy of higher dimensional Hermitian codes
• Geometric approach to higher weights
• Hyperelliptic modular curves

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