The minimum weights of two-point AG codes on norm-trace curves

DOI10.1016/j.ffa.2018.06.005zbMath1393.94948OpenAlexW2809321948WikidataQ129578109 ScholiaQ129578109MaRDI QIDQ1654497

Boran Kim, Yoon-Jin Lee

Publication date: 8 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.06.005

zbMATH Keywords

algebraic geometry codesAG codesminimum weightsnorm-trace curvesthe order bound

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (3)

Isometry-Dual Flags of Many-Point AG Codes ⋮ Intersections between the norm-trace curve and some low degree curves ⋮ Quantum codes from one-point codes on norm-trace curves

Cites Work

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• Distance bounds for algebraic geometric codes
• On the order bounds for one-point AG codes
• On the index of the Weierstrass semigroup of a pair of points on a curve
• On the minimum distance of Castle codes
• The order bound for general algebraic geometric codes
• Evaluation codes from order domain theory
• Algebraic Function Fields and Codes
• Two-Point Codes on Norm-Trace Curves
• Improved geometric Goppa codes. I. Basic theory
• Weierstrass pairs and minimum distance of Goppa codes

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