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- Title
On the Construction of Quantum MDS Codes.
- Authors
Guo, Guanmin; Li, Ruihu; Guo, Luobin
- Abstract
Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. The paper is devoted to the construction of new quantum MDS codes based on classical constacyclic codes and cyclic codes over Fq2<inline-graphic></inline-graphic>. We construct a family of new quantum MDS codes with length n=q2+1a<inline-graphic></inline-graphic>, which is a generalization of results in Zhang and Ge (IEEE Trans. Inf. Theory 61(9):5224-5228, <xref>2015</xref>), Chen et al. (IEEE. Trans. Inf. Theory 61:1474-1484, <xref>2015</xref>). Most of these quantum MDS codes are new in the sense that their parameters are not covered by the quantum codes available in the literature.
- Subjects
QUANTUM error correcting codes; QUANTUM computing; CYCLIC codes; QUANTUM communication; ERROR-correcting codes
- Publication
International Journal of Theoretical Physics, 2018, Vol 57, Issue 11, p3525
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-018-3867-3