4 papers
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.…
On planar functions over
João Paulo Guardieiro, Adler Marques, Luciane Quoos +1
Let denote the finite field of order . For odd, we investigate the planarity over of the family $$ f_{E,A,B,C,D}(X) := EX^2+ AX^{q+1}+ BX^{…
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…
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…