RT info:eu-repo/semantics/article
T1 On the structure of repeated-root polycyclic codes over local rings
A1 Bajalan, Maryam
A1 Martínez Moro, Edgar
A1 Sobhani, Reza
A1 Szabo, Steve
A1 Yılmazgüç, Gülsüm Gözde
K1 Matemáticas
K1 Polycyclic code
K1 Duality
K1 Mattson-Solomon transform
K1 Código policíclico
K1 Dualidad
K1 Transformación de Mattson-Solomon
K1 12 Matemáticas
AB 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.
PB Elsevier
SN 0012-365X
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/63558
UL https://uvadoc.uva.es/handle/10324/63558
LA eng
NO Discrete Mathematics, 2024, vol. 347, issue 1, 113715
NO Producción Científica
DS UVaDOC
RD 27-jul-2024