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Construction of subspace codes through linkage

Producción científica: Articlerevisión exhaustiva

63 Citas (Scopus)

Resumen

A construction is discussed that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting linkage code is as good as the minimum subspace distance of the constituent codes. As a special application, the construction of the best known partial spreads is reproduced. Finally, for a special case of linkage, a decoding algorithm is presented which amounts to decoding with respect to the smaller constituent codes and which can be parallelized.

Idioma originalEnglish
Páginas (desde-hasta)525-540
Número de páginas16
PublicaciónAdvances in Mathematics of Communications
Volumen10
N.º3
DOI
EstadoPublished - ago 2016

Nota bibliográfica

Publisher Copyright:
© 2016 AIMS.

Financiación

The first author was partially supported by the National Science Foundation grant #DMS-1210061.

FinanciadoresNúmero del financiador
National Science Foundation Arctic Social Science Program-1210061

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Computer Networks and Communications
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

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