Codes with a pomset metric and constructions

DOI10.1007/S10623-017-0367-ZzbMath1414.94924OpenAlexW2617446769MaRDI QIDQ1741927

Irrinki Gnana Sudha, R. S. Selvaraj

Publication date: 10 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10623-017-0367-z

zbMATH Keywords

covering radiusmultisetLee weightposet codespomset

Mathematics Subject Classification ID

Partial orders, general (06A06) Linear codes (general theory) (94B05) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (3)

Block codes in pomset metric over \(\mathbb{Z}_m\) ⋮ Codes with respect to weighted poset block metric ⋮ MacWilliams type identities for linear codes on certain pomsets: chain, direct and ordinal sum of pomsets

Cites Work

• Linear codes on posets with extension property
• Multiset topologies induced by multiset relations
• Groups of linear isometries on poset structures
• Maximum distance separable poset codes
• Codes with a poset metric
• The packing radius of a code and partitioning problems: the case for poset metrics on finite vector spaces
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