2 citations · 2 across the 10 of their papers we have counts for
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On generalized Weierstrass semigroups in linearized function fields
Erik Mendoza
In this article, using the notion of discrepancies, we study the generalized Weierstrass semigroup , where is an -tuple of distinct totally…
Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
Erik Mendoza, Horacio Navarro, Luciane Quoos
A recent construction of linear complementary pairs (LCPs) of algebraic geometry codes is intimately linked to the identification of non-special divisors of small degree within a f…
On gap sets in arbitrary Kummer extensions of
Ethan Cotterill, Erik A. R. Mendoza, Pietro Speziali
Let be an algebraically closed field, and let be a Kummer extension of function fields of genus . We provide a compact and explicit description of the gap set $G(Q)…
On generalized Weierstrass Semigroups in arbitrary Kummer extensions of
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field . We analyze their structure and properties, with…
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 over , t…
On Kummer extensions with one place at infinity
Erik A. R. Mendoza
Let be the algebraic closure of . We provide an explicit description of the Weierstrass semigroup at the only place at infinity of th…