Articles producció científicaEnginyeria Informàtica i Matemàtiques

Weierstrass semigroup at m+1 rational points inmaximal curves which cannot be covered by the Hermitian curve

  • Identification data

    Identifier:  imarina:6285536
    Handle: https://hdl.handle.net/20.500.11797/imarina6285536
    Authors:  Castellanos, Alonso Sepulveda; Bras-Amoros, Maria
    Abstract:
    We determine the Weierstrass semigroup H(P infinity,P1, horizontal ellipsis ,Pm) at several rational points on the maximal curves which cannot be covered by the Hermitian curve introduced in Tafazolian et al. (J Pure Appl Algebra 220(3):1122-1132, 2016). Furthermore, we present some conditions to find pure gaps. We use this semigroup to obtain AG codes with better relative parameters than comparable one-point AG codes arising from these curves.

  • Others:

    Link to the original source: https://link.springer.com/article/10.1007%2Fs10623-020-00757-4
    APA: Castellanos, Alonso Sepulveda; Bras-Amoros, Maria (2020). Weierstrass semigroup at m+1 rational points inmaximal curves which cannot be covered by the Hermitian curve. Designs Codes And Cryptography, 88(8), 1595-1616. DOI: 10.1007/s10623-020-00757-4
    Paper original source: Designs Codes And Cryptography. 88 (8): 1595-1616
    Article's DOI: 10.1007/s10623-020-00757-4
    Journal publication year: 2020
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/acceptedVersion
    Record's date: 2025-03-15
    URV's Author/s: Bras Amoros, Maria
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    ISSN: 1573-7586
    Author, as appears in the article.: Castellanos, Alonso Sepulveda; Bras-Amoros, Maria
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Theoretical computer science, Mathematics, applied, Matemática / probabilidade e estatística, Engenharias iv, Engenharias iii, Discrete mathematics and combinatorics, Computer science, theory & methods, Computer science applications, Ciência da computação, Astronomia / física, Applied mathematics
    Author's mail: maria.bras@urv.cat

  • Keywords:

    Weierstrass semigroup
    Maximal curve
    Ag code
    Applied Mathematics
    Computer Science Applications
    Computer Science
    Theory & Methods
    Discrete Mathematics and Combinatorics
    Mathematics
    Applied
    Theoretical Computer Science
    Matemática / probabilidade e estatística
    Engenharias iv
    Engenharias iii
    Ciência da computação
    Astronomia / física

  • Documents:

    DocumentPrincipal

  • Cerca a google

    Search to google scholar