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http://hdl.handle.net/10773/25975
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DC Field | Value | Language |
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dc.contributor.author | El Oued, Mohamed | pt_PT |
dc.contributor.author | Napp, Diego | pt_PT |
dc.contributor.author | Pinto, Raquel | pt_PT |
dc.contributor.author | Toste, Marisa | pt_PT |
dc.date.accessioned | 2019-05-08T15:29:05Z | - |
dc.date.available | 2019-05-08T15:29:05Z | - |
dc.date.issued | 2019-01 | - |
dc.identifier.issn | 1071-5797 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/25975 | - |
dc.description.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. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Elsevier | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Finite rings | pt_PT |
dc.subject | Convolutional codes over finite rings | pt_PT |
dc.subject | Dual codes | pt_PT |
dc.subject | Matrix representations | pt_PT |
dc.title | On duals and parity-checks of convolutional codes over Z p r | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1 | pt_PT |
degois.publication.lastPage | 20 | pt_PT |
degois.publication.title | Finite fields and their applications | pt_PT |
degois.publication.volume | 55 | pt_PT |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1071579718301060#! | pt_PT |
dc.identifier.doi | 10.1016/j.ffa.2018.08.012 | pt_PT |
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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