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

  • Datos identificativos

    Identificador: imarina:6285536
    Handle: http://hdl.handle.net/20.500.11797/imarina6285536
  • Autores:

    Castellanos, Alonso Sepulveda
    Bras-Amoros, Maria
  • Otros:

    Autor según el artículo: Castellanos, Alonso Sepulveda; Bras-Amoros, Maria;
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Bras Amoros, Maria
    Palabras clave: Weierstrass semigroup Maximal curve Ag code
    Resumen: 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.
    Áreas temáticas: 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
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 1573-7586
    Direcció de correo del autor: maria.bras@urv.cat
    Identificador del autor: 0000-0002-3481-004X
    Fecha de alta del registro: 2023-02-19
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    Enlace a la fuente original: https://link.springer.com/article/10.1007%2Fs10623-020-00757-4
    URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Designs Codes And Cryptography. 88 (8): 1595-1616
    Referencia de l'ítem segons les normes 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
    DOI del artículo: 10.1007/s10623-020-00757-4
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2020
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Applied Mathematics,Computer Science Applications,Computer Science, Theory & Methods,Discrete Mathematics and Combinatorics,Mathematics, Applied,Theoretical Computer Science
    Weierstrass semigroup
    Maximal curve
    Ag code
    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
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