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New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
- Publication Year :
- 2021
-
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.
- Subjects :
- Computer Science - Information Theory
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2112.07137
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10773-022-05126-6