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New Binary Quantum Codes Constructed from Quasi-Cyclic Codes

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Abstract

It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generator quasi-cyclic codes and derives sufficient conditions for these codes to be symplectic dual-containing. Then, a new method for constructing binary quantum codes is proposed. As an application, we construct 8 binary quantum codes that exceed the best-known results. Further, another 36 new binary quantum codes are obtained by propagation rules, all of which improve the lower bound on the minimum distances.

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Acknowledgments

This work is supported by National Natural Science Foundation of China under Grant No. U21A20428, 11901579, 11801564, Natural Science Foundation of Shaanxi under Grant No. 2021JM-216, 2021JQ-335, 2022JQ-046 and the Graduate Scientific Research Foundation of Fundamentals Department of Air Force Engineering University.

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  1. Ruihu Li, Liangdong Lu and Yu Yao contributed equally to this work.

Authors and Affiliations

  1. Fundamentals Department, Air Force Engineering University, Xi’an, Shaanxi, 710051, People’s Republic of China

    Chaofeng Guan, Ruihu Li, Liangdong Lu & Yu Yao

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  1. Chaofeng Guan
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  2. Ruihu Li
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  3. Liangdong Lu
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  4. Yu Yao
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Correspondence to Chaofeng Guan.

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Guan, C., Li, R., Lu, L. et al. New Binary Quantum Codes Constructed from Quasi-Cyclic Codes. Int J Theor Phys 61, 172 (2022). https://doi.org/10.1007/s10773-022-05126-6

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  • DOI: https://doi.org/10.1007/s10773-022-05126-6

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