Nested Construction of ℤ2L-Linear Codes

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal University of São João Del-Rei-
Autor(es): dc.contributorSimula UiB-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorBastos, Gustavo T.-
Autor(es): dc.creatorBollauf, Maiara F.-
Autor(es): dc.creatorFerrari, Agnaldo J.-
Autor(es): dc.creatorYtrehus, Oyvind-
Data de aceite: dc.date.accessioned2025-08-21T22:29:11Z-
Data de disponibilização: dc.date.available2025-08-21T22:29:11Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1109/ISIT57864.2024.10619235-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/304065-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/304065-
Descrição: dc.descriptionWe present novel techniques to verify the linearity of ℤ2L-linear codes, i.e., the binary codes obtained as the image of the generalized Gray map of ℤ2L-additive codes. The central idea is the definition of two auxiliary binary codes, which we denote by associated and decomposition codes. Since ℤ2L-linear codes can be linear or nonlinear, as a consequence of our contributions, we are able to construct families of linear ℤ2L-linear codes from nested Reed-Muller and cyclic codes. This work expands on previous results from the literature, where the linearity of ℤ2L. linear codes was established with respect to the kernel of the underlying ℤ2L-additive code and/or operations on ℤ2L.-
Descrição: dc.descriptionFederal University of São João Del-Rei, MG-
Descrição: dc.descriptionSimula UiB-
Descrição: dc.descriptionSão Paulo State University (Unesp) School of Sciences, SP-
Descrição: dc.descriptionSão Paulo State University (Unesp) School of Sciences, SP-
Formato: dc.format2598-2603-
Idioma: dc.languageen-
Relação: dc.relationIEEE International Symposium on Information Theory - Proceedings-
???dc.source???: dc.sourceScopus-
Título: dc.titleNested Construction of ℤ2L-Linear Codes-
Tipo de arquivo: dc.typeaula digital-
Aparece nas coleções:Repositório Institucional - Unesp

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