68 citations · 168 across the 24 of their papers we have counts for
6 papers · 1 filter
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-…
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…
Numerical Semigroups and Codes
Maria Bras-Amorós
A numerical semigroup is a subset of N containing 0, closed under addition and with finite complement in N. An important example of numerical semigroup is given by the Weierstrass…
Fibonacci-Like Behavior of the Number of Numerical Semigroups of a Given Genus
Maria Bras-Amorós
We conjecture a Fibonacci-like property on the number of numerical semigroups of a given genus. Moreover we conjecture that the associated quotient sequence approaches the golden r…
A Decoding Approach to Reed-Solomon Codes from Their Definition
Maria Bras-Amorós
Because of their importance in applications and their quite simple definition, Reed-Solomon codes can be explained in any introductory course on coding theory. However, decoding al…
Tempered Monoids of Real Numbers, the Golden Fractal Monoid, and the Well-Tempered Harmonic Semigroup
Maria Bras-Amorós
This paper deals with the algebraic structure of the sequence of harmonics when combined with equal temperaments. Fractals and the golden ratio appear surprisingly on the way. The…