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

  • Dades identificatives

    Identificador: imarina:6285536
    Autors:
    Castellanos, Alonso SepulvedaBras-Amoros, Maria
    Resum:
    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.
  • Altres:

    Autor segons l'article: Castellanos, Alonso Sepulveda; Bras-Amoros, Maria;
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Bras Amoros, Maria
    Paraules clau: Weierstrass semigroup Maximal curve Ag code
    Resum: 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.
    Àrees temàtiques: 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
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 1573-7586
    Adreça de correu electrònic de l'autor: maria.bras@urv.cat
    Identificador de l'autor: 0000-0002-3481-004X
    Data d'alta del registre: 2023-02-19
    Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
    Enllaç font original: https://link.springer.com/article/10.1007%2Fs10623-020-00757-4
    Referència a l'article segons font original: Designs Codes And Cryptography. 88 (8): 1595-1616
    Referència 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
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    DOI de l'article: 10.1007/s10623-020-00757-4
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2020
    Tipus de publicació: Journal Publications
  • Paraules clau:

    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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