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Quantum convolutional codes derived from constacyclic codes

Tingsu Yan

College of Science, Huzhou University, Huzhou, Zhejiang 313000, China

Corresponding author.

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Xinmei Huang

College of Science, Nanjing Forestry University, Nanjing, Jiangsu 210037, China

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, and

Yuansheng Tang

School of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu 225002, China

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https://doi.org/10.1142/S0217984914502418Cited by:6 (Source: Crossref)

Abstract

In this paper, three families of quantum convolutional codes are constructed. The first one and the second one can be regarded as a generalization of Theorems 3, 4, 7 and 8 [J. Chen, J. Li, F. Yang and Y. Huang, Int. J. Theor. Phys., doi:10.1007/s10773-014-2214-6 (2014)], in the sense that we drop the constraint q ≡ 1 (mod 4). Furthermore, the second one and the third one attain the quantum generalized Singleton bound.

Keywords:

PACS: 03.67.Pp, 89.70.-a

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