Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

M. Montanucci; G. Tizziotti

doi:10.1007/s10623-022-01130-3

Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

M. Montanucci
, G. Tizziotti^*

^*Corresponding author for this work

Universidade Federal de Uberlândia

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

In this paper we determine the generalized Weierstrass semigroup H^{^}(P_∞, P₁, … , P_m) , and consequently the Weierstrass semigroup H(P_∞, P₁, … , P_m) , at m+ 1 points on the curves X_a_,_b_,_n_,_s and Y_n_,_s. These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.

Original language	English
Journal	Designs, Codes, and Cryptography
ISSN	0925-1022
DOIs	https://doi.org/10.1007/s10623-022-01130-3
Publication status	Published - 2022

Keywords

AG codes
Generalized Weierstrass semigroup
Maximal curves

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title = "Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve",

abstract = "In this paper we determine the generalized Weierstrass semigroup H\textasciicircum{}(P∞, P1, … , Pm) , and consequently the Weierstrass semigroup H(P∞, P1, … , Pm) , at m+ 1 points on the curves Xa,b,n,s and Yn,s. These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.",

keywords = "AG codes, Generalized Weierstrass semigroup, Maximal curves",

author = "M. Montanucci and G. Tizziotti",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

doi = "10.1007/s10623-022-01130-3",

language = "English",

journal = "Designs, Codes, and Cryptography",

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T1 - Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

AU - Montanucci, M.

AU - Tizziotti, G.

PY - 2022

Y1 - 2022

N2 - In this paper we determine the generalized Weierstrass semigroup H^(P∞, P1, … , Pm) , and consequently the Weierstrass semigroup H(P∞, P1, … , Pm) , at m+ 1 points on the curves Xa,b,n,s and Yn,s. These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.

AB - In this paper we determine the generalized Weierstrass semigroup H^(P∞, P1, … , Pm) , and consequently the Weierstrass semigroup H(P∞, P1, … , Pm) , at m+ 1 points on the curves Xa,b,n,s and Yn,s. These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.

KW - AG codes

KW - Generalized Weierstrass semigroup

KW - Maximal curves

U2 - 10.1007/s10623-022-01130-3

DO - 10.1007/s10623-022-01130-3

M3 - Journal article

AN - SCOPUS:85139740644

SN - 0925-1022

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

ER -

Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

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