Quantum Codes

Year 2020, Volume: 10 Issue: 1, 556 - 562, 01.03.2020

Abdullah Dertli Yasemin Çengellenmiş

https://doi.org/10.21597/jist.569915

Abstract

In the present paper, the quantum
codes over F_q which are obtained from cyclic codes over the finite ring R=F_q+uF_q +vF_q+uvF_q+v²F_q+uv²F_q with u²=1,v³=v ,uv=vu where q=p^m and p is an odd prime. Moreover the parameters of quantum codes
over F_q are determined. Some examples are given.

Keywords

Qunatum codes, Gray map, cyclic codes

Kuantum Kodlar

Abstract

Bu çalışmada,u²=1,v³=v ,uv=vu,q=p^m   ve p tek asal sayı olmak üzere R=F_q+uF_q +vF_q+uvF_q+v²F_q+uv²F_q    halkası üzerindeki devirli kodlar kullanılarak F_q üzerindeki kuantum kodlar elde edildi. Ayrıca, F_q üzerindeki kuantum kodların parametreleri belirlendi. Bazı örnekler verildi

Keywords

Kuantum kodlar, devirli kodlar, Gray dönüşümü

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