RT info:eu-repo/semantics/article T1 A transform approach to polycyclic and serial codes over rings A1 Bajalan, Maryam A1 Martínez Moro, Edgar A1 Szabo, Steve K1 Polycyclic codes K1 Códigos policíclicos K1 Serial codes K1 Números de serie AB In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us to study them in terms of linear algebra and invariant subspaces as well as understand the duality in terms of the transform domain. We also make a characterization of when two polycyclic ambient spaces are Hamming-isometric. PB Elsevier SN 1071-5797 YR 2022 FD 2022 LK https://uvadoc.uva.es/handle/10324/52203 UL https://uvadoc.uva.es/handle/10324/52203 LA eng NO Finite Fields and Their Applications, 2022, vol. 80, 102014 NO Producción Científica DS UVaDOC RD 25-abr-2024