Groups of linear isometries on poset structures

DOI10.1016/j.disc.2007.08.001zbMath1211.94054OpenAlexW2090792284MaRDI QIDQ941337

Luciano Panek, Jong Yoon Hyun, Marcelo Firer, Hyun Kwang Kim

Publication date: 4 September 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.08.001

zbMATH Keywords

linear isometriesposet codesposet metrics

Mathematics Subject Classification ID

Partial orders, general (06A06) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60)

Related Items (9)

Linear codes on posets with extension property ⋮ Classification of weighted posets and digraphs admitting the extended Hamming code to be a perfect code ⋮ Codes with respect to weighted poset block metric ⋮ On perfect poset codes ⋮ Unnamed Item ⋮ Combinatorial metrics: MacWilliams-type identities, isometries and extension property ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ Codes with a pomset metric and constructions ⋮ Extension theorems for various weight functions over Frobenius bimodules

Cites Work

• Unnamed Item
• The poset structures admitting the extended binary Hamming code to be a perfect code
• Symmetry groups of Rosenbloom-Tsfasman spaces
• A combinatorial problem for vector spaces over finite fields
• Codes for the \(m\)-metric
• Classification of perfect linear codes with crown poset structure
• The automorphism group of a linear space with the Rosenbloom-Tsfasman metric
• Projective systems and perfect codes with a poset metric.
• A MacWilliams-type identity for linear codes on weak order
• On a MacWilliams type identity and a perfectness for a binary linear (\(n,n-1,j\))-poset code.
• Codes with a poset metric
• Automorphism group of the crown-weight space

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