EN
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 and p 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 Kelimeler
Kaynakça
- 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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
27 Mart 2022
Gönderilme Tarihi
7 Nisan 2021
Kabul Tarihi
21 Aralık 2021
Yayımlandığı Sayı
Yıl 2022 Cilt: 15 Sayı: 1
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 University Journal of Science and Technology, 15(1), 46-55. https://doi.org/10.18185/erzifbed.911472
AMA
1.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 University Journal of Science and Technology. 2022;15(1):46-55. doi:10.18185/erzifbed.911472
Chicago
Tetik, Ceremnur, ve Abdullah Dertli. 2022. “Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q”. Erzincan University Journal of Science and Technology 15 (1): 46-55. https://doi.org/10.18185/erzifbed.911472.
EndNote
Tetik C, Dertli A (01 Mart 2022) Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan University Journal of Science and Technology 15 1 46–55.
IEEE
[1]C. Tetik ve A. Dertli, “Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q”, Erzincan University Journal of Science and Technology, c. 15, sy 1, ss. 46–55, Mar. 2022, doi: 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 University Journal of Science and Technology 15/1 (01 Mart 2022): 46-55. https://doi.org/10.18185/erzifbed.911472.
JAMA
1.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 University Journal of Science and Technology. 2022;15:46–55.
MLA
Tetik, Ceremnur, ve Abdullah Dertli. “Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q”. Erzincan University Journal of Science and Technology, c. 15, sy 1, Mart 2022, ss. 46-55, doi:10.18185/erzifbed.911472.
Vancouver
1.Ceremnur Tetik, Abdullah Dertli. Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Erzincan University Journal of Science and Technology. 01 Mart 2022;15(1):46-55. doi:10.18185/erzifbed.911472