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math.AC2025
Gröbner bases and the second generalized Hamming weight of a linear code
Hernán de Alba, Cecilia Martínez-Reyes
It is known that for binary codes one can use Gröbner bases to obtain a subset of codewords of minimal support that can be used to determine the second generalized Hamming weight o…
math.AC2019
On the -torsion of the module of differentials of order of hypersurfaces
Hernán de Alba, Daniel Duarte
We characterize the -torsion freeness of the module of differentials of order of a point of a hypersurface in terms of the singular locus of the corresponding local ring.