3 papers
math.AG2017
On the Geil-Matsumoto Bound and the Length of AG codes
Maria Bras-Amorós, Albert Vico-Oton
The Geil-Matsumoto bound conditions the number of rational places of a function field in terms of the Weierstrass semigroup of any of the places. Lewittes' bound preceded the Geil-…
cs.IT2017
New Lower Bounds on the Generalized Hamming Weights of AG Codes
Maria Bras-Amorós, Kwankyu Lee, Albert Vico-Oton
A sharp upper bound for the maximum integer not belonging to an ideal of a numerical semigroup is given and the ideals attaining this bound are characterized. Then the result is us…
math.NT2012
Nonhomogeneous patterns on numerical semigroups
Maria Bras-Amorós, Pedro A. García-Sánchez, Albert Vico-Oton
Patterns on numerical semigroups are multivariate linear polynomials, and they are said to be admissible if there exists a numerical semigroup such that evaluated at any nonincreas…