Araştırma Makalesi

Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q

Cilt: 15 Sayı: 1 27 Mart 2022
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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

  1. 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.
  2. 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.
  3. Islam, H. and Prakash, O. 2020. “New Quantum Codes from Constacyclic and Additive Constacyclic Codes”, Quantum Information Processing, 19(9), 1-17.
  4. 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.
  5. Mohan, C. and Durairajan, C. 2020. “Skew-constacyclic codes over R”, Malaya Journal of Matematik, 8(4), 1502-1508.
  6. 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

Kaynak Göster

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