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The rest of this paper is organized as follows. In section 2, the construction method of QC-LDPC codes based on the subgroup of the finite field multiplicative group is introduced. In section 3, simulation results of the proposed method are provided and compared with those of other methods in terms of the code length, the code rate and the error correction performance. Finally, section 4 gives our conclusions.

J. Cai, S. Bai, J. Zhang, S. Wang, and Z. Xiang (2019). A novel construction method of quasi-cyclic low-density parity-check (QC-LDPC) codes based on the subgroup of the finite field multiplicative group . IEEE/ACM Transactions on Networking, 27(2):60-73. doi: 10.1109/TNET.2019.2896825

The rest of the paper is organized as follows. Section 2 introduces the construction method of QC-LDPC codes based on the subgroup of the finite field multiplicative group. In Section 3, the simulations of the proposed construction method are presented. Finally, conclusions are drawn in Section 4. In this paper, the finite field GF(2) denotes the Galois field, and the subgroup of the finite field GF(2) multiplicative group is written as GF2(n), where n is the degree of the finite field GF(2).

The QC-LDPC(1 590,1 542) code proposed in this paper has better girth properties than that of the QC-LDPC(3 780,3 540) code proposed in this paper. Therefore, the QC-LDPC(1 590,1 542) code in this paper is more suitable for the enhancement of error correction performances of the QC-LDPC(3 780,3 540) code proposed in this paper and the construction of the QC-LDPC(3 780,3 540) code proposed in this paper can avoid the girth-4 phenomenon.

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