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Constructions and Properties of Linear Locally Repairable Codes

Ernvall, Toni ; Westerback, Thomas ; Freij-Hollanti, Ragnar ; Hollanti, Camilla

IEEE transactions on information theory, 2016-03, Vol.62 (3), p.1129-1143 [Periódico revisado por pares]

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Título:
Constructions and Properties of Linear Locally Repairable Codes
Autor: Ernvall, Toni ; Westerback, Thomas ; Freij-Hollanti, Ragnar ; Hollanti, Camilla
Assuntos: Alphabets ; Bandwidth ; Codes ; Construction ; Error correction codes ; Frequency modulation ; Generators ; Information theory ; Linear codes ; Maintenance engineering ; matematik/tillämpad matematik ; Mathematics/Applied Mathematics ; Matrix ; Optimization ; Probability distribution
É parte de: IEEE transactions on information theory, 2016-03, Vol.62 (3), p.1129-1143
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: In this paper, locally repairable codes with all-symbol locality are studied. Methods to modify already existing codes are presented. It is also shown that, with high probability, a random matrix with a few extra columns guaranteeing the locality property is a generator matrix for a locally repairable code with a good minimum distance. The proof of the result provides a constructive method to find locally repairable codes. Finally, constructions of three infinite classes of optimal vector-linear locally repairable codes over a small alphabet independent of the code size are given.
Editor: New York: IEEE
Idioma: Inglês

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