Journal Article

·2016 OPEN ACCESS

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

Mehmet E. Köroğlu YTU , İrfan Şiap YTU

Journal of Physics Conference Series

Abstract

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.

Keywords

Group ring Ring (chemistry) Combinatorics Mathematics Group (periodic table) Quantum Group code Discrete mathematics Block code Linear code Physics Algorithm Quantum mechanics Decoding methods

Subject Areas

Quantum Computing Algorithms and Architecture ·Artificial Intelligence ·Physical Sciences
Coding theory and cryptography ·Artificial Intelligence ·Physical Sciences
Quantum-Dot Cellular Automata ·Computational Theory and Mathematics ·Physical Sciences

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