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It has been a great challenge to construct new quantum MDS codes.
P. W. Shor, “Scheme for reducing decoherence in quantum computer memory,” Phys. Rev. A, vol. 52, no. 4, pp. R2493–R2496, 1995
1995
Earlier work this paper cites.
A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, “Quantum error correction via codes over GF(4),” IEEE Trans. Inform. Theory, vol. 44, no. 4, pp. 1369–1387, 1998
1998
Earlier work this paper cites.
E. M. Rains, “Nonbinary quantum codes,” IEEE. Trans. Inform. Theory, vol. 45, no. 6, pp.1827–1832, Sept. 1999
1999
Earlier work this paper cites.
1999
Earlier work this paper cites.
J. Bierbrauer and Y. Edel, “Quantum twisted codes,” J. Comb. Designs, vol. 8, pp. 174–188, 2000
2000
Earlier work this paper cites.
A. Ashikhmin and E. Knill, “Nonbinary quantum stablizer codes,” IEEE Trans. Inform. Theory, vol. 47, no. 7, pp. 3065–3072, 2001
2001
Earlier work this paper cites.
H. Stichtenoth, Algebraic function fields and codes
2003
Earlier work this paper cites.
M. Grassl, T. Beth and M. Röttler, “On optimal quantum codes,” Int. J. Quantum Inf., vol. 2, no. 1, pp. 757–775, 2004
2004
Cited alongside, same era.
M. Röttler, M. Grassl and T. Beth,“On quantum MDS codes,” In Proc. Int. Symp. Inform. Thoory, Chicago, USA, pp. 356, 2004
2004
Cited alongside, same era.
S. Ling and C. P. Xing, Coding Theory – A First Course,
2004
Cited alongside, same era.
H. Chen, S. Ling and C. Xing, “Quantum codes from concatenated algebraic-geometric codes,” IEEE Trans. Inform. Theory, vol. 51, no. 8, pp. 2915–2920, 2005
2005
Cited alongside, same era.
P. K. Sarvepalli and A. Klappenecker, “Nonbinary quantum Reed-Muller codes,” Proc. Inter. Sym. Inf. Theory 2005, Adelaide, Australia, pp. 1023–1027
2005
Cited alongside, same era.
S. A. Aly, A. Klappenecker and P. K. Sarvepalli, “On quantum and classical BCH codes,” IEEE Trans. Inform. Theory, vol. 53, no. 3, pp. 1183–1188, 2007
2007
Later among the works it cites.
D. Hu, W. Tang, M. Zhao, Q. Chen, S. Yu and C. H. Oh, “Graphical nonbinary quantum error-correcting codes,” Phy. Rev. A., vol. 78, no. 1, 012306, 2008
2008
Later among the works it cites.
Z. Li, L. J. Xing and X. M. Wang, “Quantum generalized Reed-Solomon codes: unified framework for quantum MDS codes,” Phys. Rev. A, vol. 77, pp. 012308-1–12308-4, 2008
2008
Later among the works it cites.
L. F. Jin, S. Ling, J. Q. Luo and C. P. Xing, “Application of Classical Hermitian Self-orthogonal MDS Codes to Quantum MDS Codes,” IEEE. Trans. Inform. Theory, vol. 56, pp.4735-4740, 2010
2010
Later among the works it cites.
R. Li and Z. Xu, “Construction of [ [ n , n − 4 , 3 ] ] q [[n,n-4,3]]_{q} quantum MDS codes for odd prime power q q ,” Phys. Rev. A, vol. 82, pp.052316-1–052316-4, 2010
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K. Feng, S. Ling, C. Xing, “Asymptotic bounds on quantum codes from algebraic geometry codes,” IEEE Trans. on Inf. Theory, vol. 52, no. 3, pp.986-991, 2006
2006
Cited alongside, same era.
A. Ketkar, A. Klappenecker, S. Kumar and P. Sarvepalli, ”Nonbinary stablizer codes over finite fields,” IEEE. Trans. Inform. Theory, vol. 52, no. 11, pp.4892–4914, Nov. 2006
2006
Cited alongside, same era.
K. Feng, “Quantum code [ [ 6 , 2 , 3 ] ] p [[6,2,3]]_{p} and [ [ 7 , 3 , 3 ] ] p [[7,3,3]]_{p} ( p ≥ 3 ) (p\geq 3) exists,” IEEE Trans. Inform. Theory, vol. 48, no. 8, pp. 2384–2391, 2002
Cited in the paper.
2010
Later among the works it cites.
G. G. L. Guardia, “New quantum MDS codes,” IEEE Trans. Inform. Theory, vol. 57, no. 8, pp. 5551-554, 2011
2011
Later among the works it cites.
X. Kai and S. Zhu,“New quantum MDS codes from negacyclic codes,” IEEE Trans. Inform. Theory , vol. 59, no. 2, pp. 1193-1197, 2012
2012
Later among the works it cites.