Author ORCID Identifier
Martinez-Moro, Edgar/0000-0003-1243-2049; yılmazgüç, gülsüm gözde/0000-0003-2127-5735; Bajalan, Maryam/0000-0003-3828-825X
Department
Mathematics and Statistics
Document Type
Article
Publication Date
Winter 1-2024
Abstract
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 perpendicular to 0-dual code for a given polycyclic code. (c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Recommended Citation
Bajalan, Maryam; Martinez-Moro, Edgar; Sobhani, Reza; Szabo, Steve; and Yilmazguc, Guelsuem Goezde, "On the structure of repeated-root polycyclic codes over local rings" (2024). EKU Faculty and Staff Scholarship. 794.
https://encompass.eku.edu/fs_research/794
Journal Title
Discrete Mathematics
