Asymmetric Quantum Codes and Quantum Convolutional Codes Derived from Nonprimitive Non-Narrow-Sense BCH Codes

Jianzhang CHEN; Jianping LI; Yuanyuan HUANG

doi:10.1587/transfun.E98.A.1130

Regular Section

Asymmetric Quantum Codes and Quantum Convolutional Codes Derived from Nonprimitive Non-Narrow-Sense BCH Codes

Jianzhang CHEN, Jianping LI, Yuanyuan HUANG

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Keywords: asymmetric quantum codes, quantum convolutional codes, nonprimitive non-narrow-sense BCH codes

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2015 Volume E98.A Issue 5 Pages 1130-1135

DOI https://doi.org/10.1587/transfun.E98.A.1130

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Abstract

Nonprimitive non-narrow-sense BCH codes have been studied by many scholars. In this paper, we utilize nonprimitive non-narrow-sense BCH codes to construct a family of asymmetric quantum codes and two families of quantum convolutional codes. Most quantum codes constructed in this paper are different from the ones in the literature. Moreover, some quantum codes constructed in this paper have good parameters compared with the ones in the literature.

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