Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/16187
Título: | On MDS convolutional codes over Z_p^r |
Autor: | Pinto, Raquel Napp, Diego Toste, Marisa |
Palavras-chave: | Convolutional codes over finite rings Free distance MDS codes Singleton bound p-Basis |
Data: | 15-Abr-2016 |
Editora: | Springer |
Resumo: | Maximum distance separable (MDS) convolutional codes are characterized through the property that the free distance meets the generalized Singleton bound. The existence of free MDS convolutional codes over Zpr was recently discovered in Oued and Sole (IEEE Trans Inf Theory 59(11):7305–7313, 2013) via the Hensel lift of a cyclic code. In this paper we further investigate this important class of convolutional codes over Zpr from a new perspective. We introduce the notions of p-standard form and r-optimal parameters to derive a novel upper bound of Singleton type on the free distance. Moreover, we present a constructive method for building general (non necessarily free) MDS convolutional codes over Zpr for any given set of parameters. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16187 |
DOI: | 10.1007/s10623-016-0204-9 |
ISSN: | 0925-1022 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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art%3A10.1007%2Fs10623-016-0204-9.pdf | Documento principal | 470.95 kB | Adobe PDF |
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