New Binary Quantum Codes Constructed from Quasi-Cyclic Codes

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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Cited by in corpus (2)

• On construction of quantum codes with dual-containing quasi-cyclic codes
• Quasi-cyclic codes of index 2