Recursive Design of High Girth (2,k) LDPC Codes from (k,k) LDPC Codes
Xiongfei Tao, Lixin Zheng, Weizhong Liu, Dongsheng Liu · IEEE Communications Letters · 2010
An approach to construct column-weight-2 LDPC codes with high girth is presented. The approach derives a column-weight-2 LDPC code from the Tanner graph of a (k,k) QC-LDPC code. By the construction, the new LDPC codes double in girth. To construct the (k,k) QC-LDPC codes with desired girth, a search algorithm is proposed in this paper. The approach generates an example of a (2,3) LDPC code with a girth of 36, which is larger than the column-weight-2 LDPC codes constructed by the previously methods.