New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
- URL: http://arxiv.org/abs/2112.07137v3
- Date: Fri, 6 Jan 2023 01:05:31 GMT
- Title: New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
- Authors: Chaofeng Guan, Ruihu Li, Liangdong Lu, Yu Yao
- Abstract summary: 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.
As an application, we construct 8 binary quantum codes that exceed the best-known results.
- Score: 6.718184400443239
- License: http://creativecommons.org/licenses/by-sa/4.0/
- 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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