A Novel Construction of Quantum LDPC Codes Based on Balanced Incomplete Block Designs
一种基于BIBD的量子LDPC码构造新方法

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.