Places of degree one in function fields over finite fields

DOI10.1016/0022-4049(90)90041-FzbMath0723.11061MaRDI QIDQ757481

Joseph Lewittes

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

function fieldgenuscurves over finite fieldserror-correction codes

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (11)

Non-special subsets of the set of points of a curve defined over a finite field ⋮ On maximal curves ⋮ Bounding the number of points on a curve using a generalization of Weierstrass semigroups ⋮ On the Ree curve ⋮ On Kummer extensions with one place at infinity ⋮ On a generalization of the Deligne-Lusztig curve of Suzuki type and application to AG codes ⋮ On the Geil-Matsumoto bound and the length of AG codes ⋮ Algebraic Geometry Codes from Castle Curves ⋮ Bounding the number of \(\mathbb F_q\)-rational places in algebraic function fields using Weierstrass semigroups ⋮ Weierstrass points on Kummer extensions ⋮ NONHOMOGENEOUS PATTERNS ON NUMERICAL SEMIGROUPS

Cites Work

• Genus and gaps in function fields
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