- International Journal of Informatics and Applied Mathematics
- Vol: 5 Issue: 2
- Constacyclic Codes Over ????????[????] /〈???????? = ????〉 and Their Application of Constructing Quan...
Constacyclic Codes Over ????????[????] /〈???????? = ????〉 and Their Application of Constructing Quantum Codes
Authors : Zineb HEBBACHE
Pages : 12-22
Doi:10.53508/ijiam.1127019
View : 15 | Download : 4
Publication Date : 2023-01-16
Article Type : Research
Abstract :Let ???? = ????????+u????????+????^2????????, ????^3=0 be a finite chain ring. In this paper, we give the structure of constacyclic codes over ???? and obtain self-orthogonal codes over ???????? by using the Gray map from ???????? to ????????^(3????). As an application, we present a construction of quantum codes from the codes obtained from this class.Keywords : Constacyclic codes, Gray map, Euclidean self-orthogonal, quantum codes.