Constacyclic Codes Over ????????[????] /〈???????? = ????〉 and Their Application of Constructing Quantum Codes

Authors : Zineb HEBBACHE

Pages : 12-22

Doi:10.53508/ijiam.1127019

View : 25 | Download : 15

Publication Date : 2023-01-16

Article Type : Research Paper

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 ????????^insert ignore into journalissuearticles values(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

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