A. S. Castellanos

activity

20172026

most citedWeierstrass Semigroup, Pure Gaps and Codes on Function Fields

2 citations · 2 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.AG2025

On generalized Weierstrass Semigroups in arbitrary Kummer extensions of $F_{q} (x)$

Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti

In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field $F_{q} (x)$ . We analyze their structure and properties, with…

math.AG2024

Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields

Alonso S. Castellanos, Adler V. Marques, Luciane Quoos

In recent years, linear complementary pairs (LCP) of codes and linear complementary dual (LCD) codes have gained significant attention due to their applications in coding theory an…

math.AG2023★ 2 cited

Weierstrass Semigroup, Pure Gaps and Codes on Function Fields

Alonso S. Castellanos, Erik A. R. Mendoza, Luciane Quoos

We determine the Weierstrass semigroup at one and two totally ramified places in a Kummer extension defined by the affine equation $y^{m} = \prod_{i = 1}^{r} (x - α_{i})^{λ_{i}}$ over $K$ , t…

math.AG2018

Subcovers and codes on the $X_{n, r}$ curves

Herivelto Borges, Alonso S. Castellanos, Guilherme Tizziotti

In this work, subcovers $X_{n, r}^{s}$ of the curve $X_{n, r}$ are constructed, the Weierstrass semigroup $H (P_{\infty})$ at the point $P_\infty \in \mathcal{X}_{n,r}…

math.AG2017

Weierstrass Semigroup and Pure Gaps at several points on the $G K$ curve

Alonso S. Castellanos, Guilherme Tizziotti

We determine the Weierstrass semigroup $H (P_{\infty}, P_{1}, \dots, P_{m})$ at several points on the $G K$ curve. In addition, we present conditions to find pure gaps on the set o…

math.AG2017

On Weierstrass semigroup at $m$ points on curves of the type f(y) = g(x)

A. S. Castellanos, G. Tizziotti

In this work we determine the so-called minimal generating set of the Weierstrass semigroup of certain $m$ points on curves $X$ with plane model of the type $f (y) = g (x)$ …

On generalized Weierstrass Semigroups in arbitrary Kummer extensions of Fq​(x)

Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields

Weierstrass Semigroup, Pure Gaps and Codes on Function Fields

Subcovers and codes on the Xn,r​ curves

Weierstrass Semigroup and Pure Gaps at several points on the GK curve

On Weierstrass semigroup at m points on curves of the type f(y) = g(x)

On generalized Weierstrass Semigroups in arbitrary Kummer extensions of $F_{q} (x)$

Subcovers and codes on the $X_{n, r}$ curves

Weierstrass Semigroup and Pure Gaps at several points on the $G K$ curve

On Weierstrass semigroup at $m$ points on curves of the type f(y) = g(x)