5 papers
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…
A closed formula for the Geil-Matsumoto bound on numerical semigroups via Apéry sets
Adler Marques, Erik Mendoza, Luciane Quoos +1
The Geil-Matsumoto bound (GM bound) constrains the number of rational points on a curve over a finite field in terms of the Weierstrass semigroup of any of the points on the curve.…
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…