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

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

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.

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