3 papers
cs.IT2026
Permutation Decoding of AG Codes from Curves Defined by Separated Polynomials
Alonso S. Castellanos, Guilherme Tizziotti, Wilson Olaya-León +1
In this work, we investigate permutation decoding for algebraic geometry (AG) codes arising from algebraic curves defined by separated polynomials. Using automorphisms of the under…
math.AG2025
On generalized Weierstrass Semigroups in arbitrary Kummer extensions of
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field . We analyze their structure and properties, with…
math.AG2024
Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields
Alonso S. Castellanos, Adler V. Marques, Luciane Quoos
In recent years, linear complementary pairs (LCP) of codes and linear complementary dual (LCD) codes have gained significant attention due to their applications in coding theory an…