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math.AC2022
Regularity index of the generalized minimum distance function
Carlos Espinosa-Valdéz, Luis Núñez-Betancourt, Yuriko Pitones
We show that the generalized minimum distance function is non-increasing as the degree varies for reduced standard graded algebras over a field. This allows us to define its regula…
cs.IT2022★ 1 cited
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…