Citation: | DING Jian, LI Hongju, LIANG Jing, et al., “Quantum Codes from Constacyclic Codes over Polynomial Residue Rings,” Chinese Journal of Electronics, vol. 28, no. 6, pp. 1131-1138, 2019, doi: 10.1049/cje.2019.07.007 |
P.W. Shor, "Scheme for reducing decoherence in quantum computer memory", Physical Review A, Vol.52, No.4, pp.2493-2496, 1995.
|
A.R. Calderbank, E.M. Rains, P.W. Shor, et al., "Quantum error correction via codes over GF(4)", IEEE Transactions on Information Theory, Vol.44, No.4, pp.1369-1387, 1998.
|
J. Qian, W. Ma and W. Guo, "Quantum codes from cyclic codes over finite ring", International Journal of Quantum Information, Vol.7, No.6, pp.1277-1283, 2009.
|
X. Yin and W. Ma, "Gray map and quantum codes over the ring F2+uF2+u2F2", IEEE 10th International Conference on Trust, Security and Privacy in Computing and Communications, Changsha, China, pp.897-899, 2011.
|
X.S. Kai and S.X. Zhu, "Quaternary construction of quantum codes from cyclic codes over F4+uF4", International Journal of Quantum Information, Vol.9, No.2, pp.689-700, 2011.
|
Y.S. Tang, S.X. Zhu and X.S. Kai, "New quantum codes from dual-containing cyclic codes over finite rings", Quantum Information Processing, Vol.15, No.11, pp.4489-4500, 2016.
|
J. Li, "Quantum codes from cyclic codes over ring Fq+uFq", Journal of University of Science and Technology of China, Vol.45, No.3, pp.199-204, 2015.
|
M. Ashraf and G. Mohammad, "Quantum codes from cyclic codes over F3+vF3", International Journal of Quantum Information, Vol.12, No.6, pp.1450042-1-1450042-8, 2014.
|
J. Gao, "Quantum codes from cyclic codes over Fq+vFq+v2Fq+v3Fq", International Journal of Quantum Information, Vol.13, No.8, pp.1550063-1-1550063-8, 2015.
|
M. Ashraf and G. Mohammad, "Quantum codes from cyclic codes over F q+uFq+vFq+uvFq", Quantum Information Processing, Vol.15, No.10, pp.4089-4098, 2016.
|
X. Liu and H. Liu, "Quantum codes from linear codes over finite chain rings", Quantum Information Processing, https://doi.org/10.1007/s11128-017-1695-7,2017.
|
X.S. Kai and S.X. Zhu, "New quantum MDS codes from negacyclic codes", IEEE Transactions on Information Theory, Vol.59, No.2, pp.1193-1197, 2013.
|
Y. Li and S.X. Zhu, "A class of constacyclic codes over the ring Fpm+uFpm+…+uk-1Fpm", Journal of Hefei University of Technology, Vol.35, No.3, pp.408-411, 2013. (in Chinese)
|
J. Ding and H. Li, "Construction of optimal codes with Homogeneous distance", Journal of University of Science and Technology of China, Vol.45, No.7, pp.588-593, 2015.
|
G.G.L. Guardia, "On the Construction of non-binary quantum BCH codes", IEEE Transactions on Information Theory, Vol.60, No.3, pp.1528-1536, 2014.
|
M. Hamada, "Concatenated quantum codes constructible in polynomial time:Efficient decoding and error correction", IEEE Transactions on Information Theory, Vol.54, No.12, pp.5689-5704, 2008.
|
G.G.L. Giuliano and P.J. Reginaldo, "Constructions of new families of non-binary CSS codes", Discrete Mathematics, Vol.310, No.21, pp.2935-2945, 2010.
|