One- and Two-Point Codes Over Kummer Extensions

DOI10.1109/TIT.2016.2583437zbMath1359.94825arXiv1510.06425OpenAlexW3103169912MaRDI QIDQ2976612

Luciane Quoos, Alonso Sepúlveda Castellanos, Ariane M. Masuda

Publication date: 28 April 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06425

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (13)

Algebraic geometric codes on many points from Kummer extensions ⋮ Pure gaps on curves with many rational places ⋮ Weierstrass semigroups from Kummer extensions ⋮ Multi-point codes from the GGS curves ⋮ Explicit equations for maximal curves as subcovers of the \(BM\) curve ⋮ Unnamed Item ⋮ Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables ⋮ Multi-point codes over Kummer extensions ⋮ On Kummer extensions with one place at infinity ⋮ Pure Weierstrass gaps from a quotient of the Hermitian curve ⋮ Complete set of pure gaps in function fields ⋮ Quantum codes from one-point codes on norm-trace curves ⋮ Unnamed Item

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