The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp

Çengellenmiş, Yasemin; Dertli, Abdullah

The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp

Yasemin ÇENGELLENMİŞ, (Trakya Üniversitesi, Matematik Bölümü, Edirne, Türkiye)

Abdullah DERTLİ (Ondokuz Mayıs Üniversitesi, Matematik Bölümü, Samsun, Türkiye)

Mathematical Sciences and Applications E-Notes

1 0

Yıl: 2019 Cilt: 7 Sayı: 1 Sayfa Aralığı: 87 - 93 Metin Dili: İngilizce İndeks Tarihi: 23-03-2021

The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp

Öz:

In this paper, the quantum codes over Fq are constructed by using the cyclic codes over the finite ringR = Fq + vFq + ... + vm−1Fq, where p is prime, q = ps, m − 1|p − 1 and vm = v. The parameters ofquantum error correcting codes over Fq are obtained. Some examples are given. Morever, the quantumquasi-cyclic codes over Fp are obtained, by using the self dual basis for Fps over Fp.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Çengellenmiş Y, Dertli A (2019). The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. , 87 - 93.
Chicago	Çengellenmiş Yasemin,Dertli Abdullah The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. (2019): 87 - 93.
MLA	Çengellenmiş Yasemin,Dertli Abdullah The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. , 2019, ss.87 - 93.
AMA	Çengellenmiş Y,Dertli A The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. . 2019; 87 - 93.
Vancouver	Çengellenmiş Y,Dertli A The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. . 2019; 87 - 93.
IEEE	Çengellenmiş Y,Dertli A "The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp." , ss.87 - 93, 2019.
ISNAD	Çengellenmiş, Yasemin - Dertli, Abdullah. "The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp". (2019), 87-93.

APA	Çengellenmiş Y, Dertli A (2019). The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes, 7(1), 87 - 93.
Chicago	Çengellenmiş Yasemin,Dertli Abdullah The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes 7, no.1 (2019): 87 - 93.
MLA	Çengellenmiş Yasemin,Dertli Abdullah The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes, vol.7, no.1, 2019, ss.87 - 93.
AMA	Çengellenmiş Y,Dertli A The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes. 2019; 7(1): 87 - 93.
Vancouver	Çengellenmiş Y,Dertli A The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes. 2019; 7(1): 87 - 93.
IEEE	Çengellenmiş Y,Dertli A "The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp." Mathematical Sciences and Applications E-Notes, 7, ss.87 - 93, 2019.
ISNAD	Çengellenmiş, Yasemin - Dertli, Abdullah. "The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp". Mathematical Sciences and Applications E-Notes 7/1 (2019), 87-93.