19 citations · 27 across the 13 of their papers we have counts for
6 papers · 1 filter
Permutation Decoding of AG Codes from Curves Defined by Separated Polynomials
Alonso S. Castellanos, Guilherme Tizziotti, Wilson Olaya-León
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…
Self-orthogonal flags of codes and translation of flags of algebraic geometry codes
Maria Bras-Amorós, Alonso S. Castellanos, Luciane Quoos
A flag of linear codes is said to be self-orthogonal if the duals of the codes in the flag satisfy $C_{i}^\pe…
The Set of Pure Gaps at Several Rational Places in Function Fields
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, using maximal elements in generalized Weierstrass semigroups and its relationship with pure gaps, we extend the results in \cite{CMT2024} and provide a way to complet…
Isometry-Dual Flags of Many-Point AG Codes
Maria Bras-Amorós, Alonso S. Castellanos, Luciane Quoos
Let be a finite field. A flag of -linear codes is said to satisfy the isometry-dual property if there exists a vector $x…
The Isometry-Dual Property in Flags of Two-Point Algebraic Geometry Codes
Maria Bras-Amorós, Alonso S. Castellanos, Luciane Quoos
A flag of codes is said to satisfy the {\it isometry-dual property} if there exists ${\bf x}\in (\ma…
Construction of sequences with high nonlinear complexity from a generalization of the Hermitian function field
Alonso S. Castellanos, Luciane Quoos, Guilherme Tizziotti
For an odd integer, we provide a sequence from the function field of the maximal curve over defined by the affine equation $y^…