Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25975
Title: | On duals and parity-checks of convolutional codes over Z p r |
Author: | El Oued, Mohamed Napp, Diego Pinto, Raquel Toste, Marisa |
Keywords: | Finite rings Convolutional codes over finite rings Dual codes Matrix representations |
Issue Date: | Jan-2019 |
Publisher: | Elsevier |
Abstract: | A convolutional code C over Z_{p^r}((D)) is a Z_{p^r}((D))-submodule of Z_{p^r}^n((D)) that admits a polynomial set of generators, where Z_{p^r}((D)) stands for the ring of (semi-infinity) Laurent series. In this paper we study several structural properties of its dual C^{\perp} . We use these results to provide a constructive algorithm to build an explicit generator matrix of C^{\perp}. Moreover, we show that the transpose of such a matrix is a parity-check matrix (also called syndrome former) of C. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25975 |
DOI: | 10.1016/j.ffa.2018.08.012 |
ISSN: | 1071-5797 |
Publisher Version: | https://www.sciencedirect.com/science/article/pii/S1071579718301060#! |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Dual_ParitiesChecks_research gate.pdf | 318.12 kB | Adobe PDF | View/Open |
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