Quantum Codes From Negacyclic Codes over Group Ring (Fq + υFq) G *

International Conference on Quantum Science and Applications 2016

Koroglu, Mehmet E.^1 ; Siap, Irfan^1

Yildiz Technical University, Department of Mathematics, Faculty of Art and Sciences, Esenler, Istanbul

34220, Turkey^1

关键词: Gray image;    Group rings;    Negacyclic codes;    Quantum codes;    Quantum error correcting codes;    Self-dual;    Self-orthogonal code;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012019/pdf
DOI  :  10.1088/1742-6596/766/1/012019

来源: IOP

【 摘 要 】

In this paper, we determine self dual and self orthogonal codes arising from negacyclic codes over the group ring (Fq+ υFq) G. By taking a suitable Gray image of these codes we obtain many good parameter quantum error-correcting codes over Fq.