Author, as appears in the article.: Castellanos, Alonso Sepulveda; Bras-Amoros, Maria;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Bras Amoros, Maria
Keywords: Weierstrass semigroup Maximal curve Ag code
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.
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
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 1573-7586
Author's mail: maria.bras@urv.cat
Author identifier: 0000-0002-3481-004X
Record's date: 2023-02-19
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://link.springer.com/article/10.1007%2Fs10623-020-00757-4
Papper original source: Designs Codes And Cryptography. 88 (8): 1595-1616
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
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.1007/s10623-020-00757-4
Entity: Universitat Rovira i Virgili
Journal publication year: 2020
Publication Type: Journal Publications
Repositori URV