Showing 2025Show all
2 papers · 1 filter
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.AG2025
Sequences of LCD AG codes and LCP of AG Codes attaining the Tsfasman-Vladut-Zink bound
Adler Marques, Luciane Quoos
Since Massey introduced linear complementary dual (LCD) codes in 1992 and Bhasin et al. later formalized linear complementary pairs (LCPs) of codes - structures with important cryp…