Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/146385
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dc.contributor.authorBenbelkacem, Nasreddineen_US
dc.contributor.authorEzerman, Martianus Fredericen_US
dc.contributor.authorAbualrub, Taheren_US
dc.date.accessioned2021-02-15T08:09:07Z-
dc.date.available2021-02-15T08:09:07Z-
dc.date.issued2020-
dc.identifier.citationBenbelkacem, N., Ezerman, M. F., & Abualrub, T. (2020). Linear codes over F4R and their MacWilliams identity. Discrete Mathematics, Algorithms and Applications, 12(6), 2050085-. doi:10.1142/S1793830920500858en_US
dc.identifier.issn1793-8317en_US
dc.identifier.urihttps://hdl.handle.net/10356/146385-
dc.description.abstractLet 4 be the field of four elements. We denote by R the commutative ring, with 16 elements, 4 v4:= {a vb|a,b 4} with v2 = v. This work defines linear codes over the ring of mixed alphabets 4R as well as their dual codes under a nondegenerate inner product. We then derive the systematic form of the respective generator matrices of the codes and their dual codes. We wrap the paper up by proving the MacWilliams identity for linear codes over 4R.en_US
dc.language.isoenen_US
dc.relation.ispartofDiscrete Mathematics, Algorithms and Applicationsen_US
dc.rightsElectronic version of an article published as Discrete Mathematics, Algorithms and Applications, 12(6), 2050085-. https://doi.org/10.1142/S1793830920500858 @ copyright World Scientific Publishing Company [https://www.worldscientific.com/worldscinet/dmaa].en_US
dc.subjectScience::Mathematics::Algebraen_US
dc.titleLinear codes over F4R and their MacWilliams identityen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.identifier.doi10.1142/S1793830920500858-
dc.description.versionAccepted versionen_US
dc.identifier.scopus2-s2.0-85095445446-
dc.identifier.issue6en_US
dc.identifier.volume12en_US
dc.identifier.spage2050085en_US
dc.subject.keywordsCode Over Ringen_US
dc.subject.keywordsMixed Alphabetsen_US
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