On perfect poset codes (Q2194510)

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scientific article

Language	Label	Description	Also known as
English	On perfect poset codes	scientific article

Statements

scholarly article

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On perfect poset codes (English)

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Jerry Anderson Pinheiro

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Marcelo Muniz Silva Alves

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Advances in Mathematics of Communications

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publication date

26 August 2020

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zbMATH Keywords

poset codes

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poset metrics

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perfect codes

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Hamming codes

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/amc.2020061

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Classification of perfect linear codes with crown poset structure

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Error-block codes and poset metrics

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Linear codes on posets with extension property

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Codes with a poset metric

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Perfect codes in poset spaces and poset block spaces

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Canonical- systematic form for codes in hierarchical poset metrics

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Poset Codes: Partial Orders, Metrics and Coding Theory

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The poset structures admitting the extended binary Hamming code to be a perfect code

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The poset structures admitting the extended binary Golay code to be a perfect code

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On a MacWilliams type identity and a perfectness for a binary linear (\(n,n-1,j\))-poset code.

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On the nonexistence of triple-error-correcting perfect binary linear codes with a crown poset structure

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The Poset Metrics That Allow Binary Codes of Codimension $m$ to be $m$-, $(m-1)$-, or $(m-2)$-Perfect

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PERFECT CODES ON SOME ORDERED SETS

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Projective systems and perfect codes with a poset metric.

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Characterization of Metrics Induced by Hierarchical Posets

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The packing radius of a code and partitioning problems: the case for poset metrics on finite vector spaces

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Groups of linear isometries on poset structures

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/AMC.2020061

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Sitelinks

Mathematics(1 entry)

mardi Publication:2194510

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