Results 251 to 260 of about 35,366 (273)
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International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1.
Rötteler, M., Grassl, M., Beth, T.
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We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1.
Rötteler, M., Grassl, M., Beth, T.
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IEEE Transactions on Information Theory, 2011
New quantum maximum-distance-separable (MDS) codes with parameters [[q2 + 1, q2 -2d + 3, d]]q, where q=2t, t ≥ 1 and 3 ≤ d ≤ q+1 is an odd integer, are constructed in this paper.
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New quantum maximum-distance-separable (MDS) codes with parameters [[q2 + 1, q2 -2d + 3, d]]q, where q=2t, t ≥ 1 and 3 ≤ d ≤ q+1 is an odd integer, are constructed in this paper.
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MDS or NMDS self-dual codes from twisted generalized Reed–Solomon codes
Designs, Codes, and Cryptography, 2021Qin Yue, Yongfeng Niu, Xia Li
exaly
2000
We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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New LCD MDS Codes of Non-Reed-Solomon Type
IEEE Transactions on Information Theory, 2021Jong Yoon Hyun, Yoonjin Lee, Wu Yansheng
exaly
Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
IEEE Transactions on Information Theory, 2020Weijun Fang, Fang-Wei Fu, Lanqiang Li
exaly
A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes
IEEE Transactions on Information Theory, 2020Aixian Zhang
exaly
When Does the Extended Code of an MDS Code Remain MDS?
IEEE Transactions on Information TheoryYansheng Wu +2 more
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New quantum MDS codes derived from constacyclic codes
Quantum Information Processing, 2015Liqi Wang, Shixin Zhu
exaly