Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q
Yıl: 2022 Cilt: 15 Sayı: 1 Sayfa Aralığı: 46 - 55 Metin Dili: İngilizce DOI: 10.18185/erzifbed.911472 İndeks Tarihi: 09-08-2022
Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q
Öz: In this paper, we give construction of quantum codes over F_q from (1-2w-2uv) - constacyclic codes over the F_q+uF_q+vF_q+wF_q+uvF_q, where u^2=u,v^2=v,w^2=w,uv=vu,uw=wu=vw=wv=0, q=p^m andp is an odd prime. We determine the parameters of quantum error correcting codes which constructed from (1-2w-2uv) - constacyclic codes over the F_q+uF_q+vF_q+wF_q+uvF_q.
Anahtar Kelime: 𝔽𝒒 + 𝒖𝔽𝒒 + 𝒗𝔽𝒒 + 𝒘𝔽𝒒 + 𝒖𝒗𝔽𝒒 Halkası Üzerindeki (𝟏 − 𝟐𝒘 − 𝟐𝒖𝒗) –Sabit Devirli Kodlardan Elde Edilen Kuantum Kodlar
Öz: Bu çalışmada, 𝑢2 = 𝑢, 𝑣2 = 𝑣, 𝑤2 = 𝑤, 𝑢𝑣 = 𝑣𝑢, 𝑢𝑤 = 𝑤𝑢 = 𝑣𝑤 = 𝑤𝑣 = 0, 𝑞 = 𝑝𝑚 , 𝑚 pozitif tam sayı ve 𝑝 tek asal sayı olmak üzere 𝔽𝑞 + 𝑢𝔽𝑞 + 𝑣𝔽𝑞 + 𝑤𝔽𝑞 + 𝑢𝑣𝔽𝑞 halkası üzerindeki (1 − 2𝑤 − 2𝑢𝑣)-sabit devirli kodlardan 𝔽𝑞 üzerindeki kuantum kodların inşası verilmiştir. Ayrıca, 𝔽𝑞 + 𝑢𝔽𝑞 + 𝑣𝔽𝑞 + 𝑤𝔽𝑞 + 𝑢𝑣𝔽𝑞 halkası üzerindeki (1 − 2𝑤 − 2𝑢𝑣) –sabit devirli kodlardan elde edilen hata düzeltici kuantum kodların parametreleri belirlenmiştir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Calderbank, A. R., Rains, E. M., Shor, P. M. and Sloane, N. J. 1998. “Quantum Error Correction via Codes over GF(4)”, IEEE Transactions on Information Theory, 1369-1387.
- Gao, J. and Wang, Y. 2018. “u-Constacyclic Codes over F_p+uF_p and Their Applications of Constructing New Non-binary Quantum Codes”, Quantum Information Processing, 17(1), 1-9.
- Islam, H. and Prakash, O. 2020. “New Quantum Codes from Constacyclic and Additive Constacyclic Codes”, Quantum Information Processing, 19(9), 1-17.
- Li, J., Gao J. and Wang Y. 2018. “Quantum Codes from (1-2v)-Constacyclic Codes over F_q+uF_q+vF_q+uvF_q”, Discrete Math., 10(4), 1850046.
- Mohan, C. and Durairajan, C. 2020. “Skew-constacyclic codes over R”, Malaya Journal of Matematik, 8(4), 1502-1508.
- Shor, P. W. 1995. “Scheme for Reducing Decoherence in Quantum Memory”, Physical Review A, 52, 2493-2496.
| APA | Tetik C, Dertli A (2022). Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. , 46 - 55. 10.18185/erzifbed.911472 |
| Chicago | Tetik Ceremnur,Dertli Abdullah Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. (2022): 46 - 55. 10.18185/erzifbed.911472 |
| MLA | Tetik Ceremnur,Dertli Abdullah Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. , 2022, ss.46 - 55. 10.18185/erzifbed.911472 |
| AMA | Tetik C,Dertli A Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. . 2022; 46 - 55. 10.18185/erzifbed.911472 |
| Vancouver | Tetik C,Dertli A Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. . 2022; 46 - 55. 10.18185/erzifbed.911472 |
| IEEE | Tetik C,Dertli A "Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q." , ss.46 - 55, 2022. 10.18185/erzifbed.911472 |
| ISNAD | Tetik, Ceremnur - Dertli, Abdullah. "Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q". (2022), 46-55. https://doi.org/10.18185/erzifbed.911472 |
| APA | Tetik C, Dertli A (2022). Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15(1), 46 - 55. 10.18185/erzifbed.911472 |
| Chicago | Tetik Ceremnur,Dertli Abdullah Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15, no.1 (2022): 46 - 55. 10.18185/erzifbed.911472 |
| MLA | Tetik Ceremnur,Dertli Abdullah Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.15, no.1, 2022, ss.46 - 55. 10.18185/erzifbed.911472 |
| AMA | Tetik C,Dertli A Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2022; 15(1): 46 - 55. 10.18185/erzifbed.911472 |
| Vancouver | Tetik C,Dertli A Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2022; 15(1): 46 - 55. 10.18185/erzifbed.911472 |
| IEEE | Tetik C,Dertli A "Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q." Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15, ss.46 - 55, 2022. 10.18185/erzifbed.911472 |
| ISNAD | Tetik, Ceremnur - Dertli, Abdullah. "Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q". Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15/1 (2022), 46-55. https://doi.org/10.18185/erzifbed.911472 |
