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arXiv · 2112.07137

New Binary Quantum Codes Constructed from Quasi-Cyclic Codes

Chaofeng Guan·Ruihu Li·Liangdong Lu·Yu Yao
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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 using symplectic dual-containing 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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Chaofeng Guan, Ruihu Li, Liangdong Lu, Yu Yao. 2021-12-14. New Binary Quantum Codes Constructed from Quasi-Cyclic Codes. https://doi.org/10.1007/s10773-022-05126-6

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