Erik A. R. Mendoza

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20212026

most citedWeierstrass Semigroup, Pure Gaps and Codes on Function Fields

2 citations · 2 across the 10 of their papers we have counts for

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math.NT2025

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.…

math.NT2023

Complete set of Pure Gaps in Function Fields

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

In this work, we provide a way to completely determine the set of pure gaps $G_{0} (P_{1}, P_{2})$ at two rational places $P_{1}, P_{2}$ in a function field $F$ over a finite field $\mathbb{F…

math.NT2021

Reciprocal polynomials and curves with many points over a finite field

Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos

Let $F_{q^{2}}$ be the finite field with $q^{2}$ elements. We provide a simple and effective method, using reciprocal polynomials, for the construction of algebraic curves over…