Codes with respect to weighted poset block metric

DOI10.1007/s10623-023-01311-8arXiv2303.01719OpenAlexW4388221984MaRDI QIDQ6123053

Jinquan Luo, Wen Ma

Publication date: 4 March 2024

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01719

zbMATH Keywords

linear isometryprincipal idealposet block metricpomset block metricweighted poset block metric

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71)

Cites Work

• Error-block codes and poset metrics
• Groups of linear isometries on poset structures
• Linear error-block codes
• Maximum distance separable poset codes
• A combinatorial problem for vector spaces over finite fields
• Codes for the \(m\)-metric
• The automorphism group of a linear space with the Rosenbloom-Tsfasman metric
• Codes with a pomset metric and constructions
• Codes with a poset metric
• MacWilliams type identities for linear codes on certain pomsets: chain, direct and ordinal sum of pomsets
• MDS and \(I\)-perfect poset block codes
• Automorphism group of the crown-weight space
• Association schemes and MacWilliams dualities for generalized Niederreiter–Rosenbloom–Tsfasman posets
• Optimal Anticodes, Diameter Perfect Codes, Chains and Weights
• MDS and I-Perfect Codes in Pomset Metric
• Weights Which Respect Support and NN-Decoding
• General Approach to Poset and Additive Metrics
• Weighted Posets and Digraphs Admitting the Extended Hamming Code to be a Perfect Code
• Classification of Niederreiter–Rosenbloom–Tsfasman Block Codes
• Encyclopedia of Distances

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