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| A Novel Construction of Quantum LDPC Codes Based on Balanced Incomplete Block Designs |
| Zhao Sheng-mei Zhu Xiu-li Xiao Yu |
| Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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Abstract Making use of the advantage of classical Low Density Parity Check (LDPC) codes based on Balance Incomplete Block Designs (BIBD), a novel construction of quantum LDPC codes is proposed in this paper. The constructed check matrix satisfies the requirement of self-dual quantum code with sparse ‘1’ element and has only one 4 girth in every two rows. The simulation results show that the quantum LDPC codes constructed by this method, such as GF(6t+1), GF(12t+1) have longer code length, more sparse check matrix and good performance than that of other method based on BIBDs.
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Received: 20 November 2009
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Corresponding Authors:
Zhao Sheng-mei
E-mail: zhaosm@njupt.edu.cn
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2011, Vol. 33 
