Generalized minimum distance functions and algebraic invariants of Geramita ideals

DOI10.1016/j.aam.2019.101940zbMath1428.13048arXiv1812.06529OpenAlexW2975573215WikidataQ127197958 ScholiaQ127197958MaRDI QIDQ2280053

Rafael H. Villarreal, Ştefan O. Tohǎneanu, Alexandra Seceleanu, Susan Marie Cooper, Maria Vaz Pinto

Publication date: 17 December 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06529

zbMATH Keywords

linear codesdegreeHilbert functiongeneralized minimum distancegeneralized minimum distance function of an idealGeramita ideal

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (9)

Coding theory package for Macaulay2 ⋮ Regularity index of the generalized minimum distance function ⋮ Saturation and vanishing ideals ⋮ The \(v\)-number and Castelnuovo-Mumford regularity of graphs ⋮ Steiner systems and configurations of points ⋮ Evaluation codes and their basic parameters ⋮ The \(v\)-number of edge ideals ⋮ The dual of an evaluation code ⋮ The \(\text{v} \)-number of monomial ideals

Uses Software

• Macaulay2

Cites Work

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