Regularity index of the generalized minimum distance function

DOI10.1016/j.jpaa.2023.107567arXiv2211.11927OpenAlexW4388562160MaRDI QIDQ6146484

Luis Núñez-Betancourt, Yuriko Pitones, Carlos Espinosa-Valdéz

Publication date: 5 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.11927

zbMATH Keywords

generalized minimum distance function

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Applications to coding theory and cryptography of arithmetic geometry (14G50) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Cites Work

• Minimum distance functions of graded ideals and Reed-Muller-type codes
• On the vanishing of local cohomology modules
• On the second weight of generalized Reed-Muller codes
• On graded rings. I
• Weighted Reed-Muller codes revisited
• Generalized minimum distance functions
• Generalized minimum distance functions and algebraic invariants of Geramita ideals
• Cohomological dimension of algebraic varieties
• Cayley-Bacharach Schemes and Their Canonical Modules
• On the vanishing of local cohomology in characteristic p > 0
• Generalized Hamming weights for linear codes
• Footprint and minimum distance functions
• Minimum distance functions of complete intersections
• Bounds for the minimum distance function

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