Novel construction of QC-LDPC codes with modified 2-D GRS codes

Abstract

The construction method for QC-LDPC (quasi-cyclic low density parity-check) code with modified two-dimensional generalized reed-solomon (2-D GRS) code is proposed using the generator polynomial of GRS code,so thus the constructed code can have better decoding performance.Meanwhile both the quasi dual-diagonal structure and proper weight distributions are considered during the construction.The QC-LDPC codes with different rates are used to compare with the new designed codes.Experimental results show that the proposed method can accelerate the construction and QC-LDPC codes constructed from the proposed method can have better decoding performance while with low encoding complexity.

Keywords

• QC-LDPC code;code construction;modified 2-D GRS code;matrix dispersion;degree distributions