Generalized weights of codes over rings and invariants of monomial ideals

DOI10.5070/c63261989arXiv2201.05813OpenAlexW4386744954MaRDI QIDQ6138907

Elisa Gorla, Alberto Ravagnani

Publication date: 16 December 2023

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.05813

zbMATH Keywords

linear codesmatroidcodes over ringsgraded Betti numberssupportsgeneralized weightsmonomial ideal of a code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Principal ideal rings (13F10) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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• Generalized Hamming weights for linear codes
• Weight Enumeration and the Geometry of Linear Codes
• The intractability of computing the minimum distance of a code
• Minimal vectors in linear codes
• Monomial Ideals
• Code Enumerators and Tutte Polynomials
• On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes

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