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- Title
New nonbinary quantum codes with larger distance constructed from BCH codes over.
- Authors
Xu, Gen; Li, Ruihu; Fu, Qiang; Ma, Yuena; Guo, Luobin
- Abstract
This paper concentrates on construction of new nonbinary quantum error-correcting codes (QECCs) from three classes of narrow-sense imprimitive BCH codes over finite field ( is an odd prime power). By a careful analysis on properties of cyclotomic cosets in defining set of these BCH codes, the improved maximal designed distance of these narrow-sense imprimitive Hermitian dual-containing BCH codes is determined to be much larger than the result given according to Aly et al. [S. A. Aly, A. Klappenecker and P. K. Sarvepalli, IEEE Trans. Inf. Theory 53, 1183 (2007)] for each different code length. Thus families of new nonbinary QECCs are constructed, and the newly obtained QECCs have larger distance than those in previous literature.
- Subjects
BCH codes; QUANTUM theory; FINITE fields; CYCLOTOMIC fields; HERMITIAN structures
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2017, Vol 31, Issue 6, p-1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979217500345