Luciane Quoos

activity

20112024

most citedOne- and Two-Point Codes over Kummer Extensions

19 citations · 39 across the 18 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

cs.IT2023

Lifting iso-dual algebraic geometry codes

María Chara, Ricardo Podestá, Luciane Quoos +1

In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field $F_{q}$ with $q$ elements. Given a finite separable extension…

math.NT2023

Cyclotomic function fields over finite fields with irreducible quadratic modulus

Nazar Arakelian, Luciane Quoos

Let $F_{q}$ be the finite field of order $q$ and $F = F_{q} (x)$ the rational function field. In this paper, we give a characterization of the cyclotomic function fields…

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…