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oai:uvadoc.uva.es:10324/635582023-12-12T20:01:59Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

Bajalan, Maryam Martínez Moro, Edgar Sobhani, Reza Szabo, Steve Yılmazgüç, Gülsüm Gözde 2023-12-12T09:54:08Z 2023-12-12T09:54:08Z 2024 Discrete Mathematics, 2024, vol. 347, issue 1, 113715 0012-365X https://uvadoc.uva.es/handle/10324/63558 10.1016/j.disc.2023.113715 113715 1 Discrete Mathematics 347 This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes. Both approaches provide a description of the -dual code for a given polycyclic code. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2023 Elsevier Attribution-NonCommercial-NoDerivatives 4.0 Internacional Matemáticas On the structure of repeated-root polycyclic codes over local rings info:eu-repo/semantics/article