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Algebraic geometric codes on many points from Kummer extensions

  • Published:2018-07 Issue: Volume:52 Page:319-335
  • ISSN:1071-5797
  • Container-title:Finite Fields and Their Applications
  • language:en
  • Short-container-title:Finite Fields and Their Applications

Author:

Bartoli D.ORCID,Quoos L.ORCID,Zini G.

Funder

MIUR

Italian National Group for Algebraic and Geometric Structures and their Applications

CNPq

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference21 articles.

1. Codes from curves with total inflection points;Carvalho;Des. Codes Cryptogr.,2007

2. On Goppa codes and Weierstrass gaps at several points;Carvalho;Des. Codes Cryptogr.,2005

3. One- and two-point codes over Kummer extensions;Castellanos;IEEE Trans. Inf. Theory,2016

4. Improved two-point codes on Hermitian curves;Duursma;IEEE Trans. Inf. Theory,2011

5. Distance bounds for algebraic geometric codes;Duursma;J. Pure Appl. Algebra,2011

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1. Complete set of pure gaps in function fields;Journal of Pure and Applied Algebra;2024-04

2. Weierstrass semigroups, pure gaps and codes on function fields;Designs, Codes and Cryptography;2023-12-19

3. An Approach to the Bases of Riemann-Roch Spaces;Indian Journal of Pure and Applied Mathematics;2022-10-05

4. The Isometry-Dual Property in Flags of Two-Point Algebraic Geometry Codes;IEEE Transactions on Information Theory;2022-02

5. Weierstrass semigroups on the third function field in a tower attaining the Drinfeld-Vlăduţ bound;Advances in Mathematics of Communications;2022
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