32 citations · 46 across the 7 of their papers we have counts for
12 papers
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…
Quantum error-correcting codes via inner products and error bases
Jorge R. Bolaños-Servín, Yuriko Pitones, Josué I. Rios-Cangas
In this paper, we address the problem of state communication in finite-level quantum systems through noise-affected channels. Our approach is based on a self-consistent theory of d…
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…
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…
Relative generalized Hamming weights of evaluation codes
Delio Jaramillo-Velez, Hiram H. López, Yuriko Pitones
The aim of this work is to algebraically describe the relative generalized Hamming weights of evaluation codes. We give a lower bound for these weights in terms of a footprint boun…
Bounds for the Minimum Distance Function
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Let be a homogeneous ideal in a polynomial ring . In this paper, we extend the study of the asymptotic behavior of the minimum distance function of and give bounds…
Unmixedness of some weighted oriented graphs
Lourdes Cruz, Yuriko Pitones, Enrique Reyes
Let be a weighted oriented graph whose edge ideal is . In this paper, we characterize the unmixed property of for each one of the following cases…
Unmixed and Cohen--Macaulay weighted oriented König graphs
Yuriko Pitones, Enrique Reyes, Rafael H. Villarreal
Let be a weighted oriented graph, whose underlying graph is , and let be its edge ideal. If has no -, -, or -cycles, or is König, we characterize whe…
Footprint and minimum distance functions
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Let be a polynomial ring over a field , with a monomial order , and let be an unmixed graded ideal of . In this paper we study two functions associated to :…
Monomial ideals of weighted oriented graphs
Yuriko Pitones, Enrique Reyes, Jonathan Toledo
Let I=I(D) be the edge ideal of a weighted oriented graph D. We determine the irredundant irreducible decomposition of I. Also, we characterize the associated primes and the unmixe…
Minimum distance functions of complete intersections
Yuriko Pitones, Jose Martinez-Bernal, Rafael H. Villarreal
We study the footprint function, with respect to a monomial order, of complete intersection graded ideals in a polynomial ring with coefficients in a field. For graded ideals of di…
Minimum distance functions of graded ideals and Reed-Muller-type codes
Jose Martinez-Bernal, Yuriko Pitones, Rafael H. Villarreal
We introduce and study the minimum distance function of a graded ideal in a polynomial ring with coefficients in a field, and show that it generalizes the minimum distance of proje…