Footprint and minimum distance functions

DOI10.4134/CKMS.c170139zbMath1401.13049arXiv1712.00387MaRDI QIDQ4582785

Luis Núñez-Betancourt, Rafael H. Villarreal, Yuriko Pitones

Publication date: 24 August 2018

Full work available at URL: https://arxiv.org/abs/1712.00387

zbMATH Keywords

regularitymonomial idealcomplete intersectiondegreeminimum distance

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (6)

Relative generalized Hamming weights of affine Cartesian codes ⋮ Regularity index of the generalized minimum distance function ⋮ The \(v\)-number of edge ideals ⋮ Generalized minimum distance functions ⋮ Generalized minimum distance functions and algebraic invariants of Geramita ideals ⋮ The \(\text{v} \)-number of monomial ideals

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimum distance functions of graded ideals and Reed-Muller-type codes
• Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields
• On the structure of order domains
• Regularity, depth and arithmetic rank of bipartite edge ideals
• On the second weight of generalized Reed-Muller codes
• Covering the cube by affine hyperplanes
• Hilbert functions of graded algebras
• Introduction to liaison theory and deficiency modules
• Cohen-Macaulay graphs
• Reed-Muller-type codes over the Segre variety
• Characteristic-independence of Betti numbers of graph ideals
• On the second Hamming weight of some Reed-Muller type codes
• Distributive lattices, bipartite graphs and Alexander duality
• Footprints or generalized Bezout's theorem
• The Geometry of Syzygies
• Regularity of lex-segment ideals: Some closed formulas and applications
• Degree and Algebraic Properties of Lattice and Matrix Ideals
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

This page was built for publication: Footprint and minimum distance functions