2 papers
math.AC2025
Bounds and MacWilliams Identities for codes over Artinian rings
Eduardo Camps-Moreno, Carlos Espinosa-Valdéz, Hiram H. López +2
This work develops new foundations for the theory of linear codes over local Artinian commutative rings. We use algebraic invariants such as the socle, type, length, and minimal nu…
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…