[HTML][HTML] Two-point AG codes from the Beelen-Montanucci maximal curve
L Landi, L Vicino - Finite Fields and Their Applications, 2022 - Elsevier
In this paper we investigate two-point algebraic-geometry codes (AG codes) coming from the
Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point …
Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point …
AG codes from -rational points of the GK maximal curve
S Lia, M Timpanella - Applicable Algebra in Engineering, Communication …, 2023 - Springer
Abstract In Beelen and Montanucci (Finite Fields Appl 52: 10–29, 2018) and Giulietti and
Korchmáros (Math Ann 343: 229–245, 2009), Weierstrass semigroups at points of the …
Korchmáros (Math Ann 343: 229–245, 2009), Weierstrass semigroups at points of the …
On Kummer extensions with one place at infinity
EAR Mendoza - Finite Fields and Their Applications, 2023 - Elsevier
Let K be the algebraic closure of F q. We provide an explicit description of the Weierstrass
semigroup H (Q∞) at the only place at infinity Q∞ of the curve X defined by the Kummer …
semigroup H (Q∞) at the only place at infinity Q∞ of the curve X defined by the Kummer …
On certain self-orthogonal AG codes with applications to quantum error-correcting codes
D Bartoli, M Montanucci, G Zini - Designs, Codes and Cryptography, 2021 - Springer
In this paper a construction of quantum codes from self-orthogonal algebraic geometry
codes is provided. Our method is based on the CSS construction as well as on some …
codes is provided. Our method is based on the CSS construction as well as on some …
Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve
M Montanucci, G Tizziotti - Designs, Codes and Cryptography, 2023 - Springer
In this paper we determine the generalized Weierstrass semigroup H^(P∞, P 1,…, P m), and
consequently the Weierstrass semigroup H (P∞, P 1,…, P m), at m+ 1 points on the curves X …
consequently the Weierstrass semigroup H (P∞, P 1,…, P m), at m+ 1 points on the curves X …
On the automorphism group of a family of maximal curves not covered by the Hermitian curve
M Montanucci, G Tizziotti, G Zini - arXiv preprint arXiv:2301.07423, 2023 - arxiv.org
In this paper we compute the automorphism group of the curves $\mathcal {X} _ {a, b, n, s} $
and $\mathcal {Y} _ {n, s} $ introduced in Tafazolian et al. in 2016 as new examples of …
and $\mathcal {Y} _ {n, s} $ introduced in Tafazolian et al. in 2016 as new examples of …
Weierstrass semigroups of maximal function fields with applications to AG codes
L Vicino - 2023 - orbit.dtu.dk
Weierstrass semigroups of 0.2cm maximal function fields with 0.5cm applications to AG codes
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