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math.CO2025
The Clifford defect of a numerical semigroup
Eduardo Camps-Moreno, Adrián Fidalgo-Díaz, Umberto Martínez-Peñas +1
The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-call…
math.CO2024
On the affine permutation group of certain decreasing Cartesian codes
Eduardo Camps-Moreno, Hiram H. López, Eliseo Sarmiento +1
A decreasing Cartesian code is defined by evaluating a monomial set closed under divisibility on a Cartesian set. Some well-known examples are the Reed-Solomon, Reed-Muller, and (s…