A New Algebraic-Based Method for Constructing Protograph LDPC Codes
Xijin Mu, Huaan Li, Chao Chen, Jinhong Yuan, Baoming Bai · 2018
This paper focuses on the construction of protograph low-density parity-check (PTG-LDPC) codes. We first give a necessary condition for a PTG-LDPC code to avoid 4-cycles. Then, we propose a new method for constructing PTG-LDPC codes based on the decomposition of a base matrix and the algebraic construction of an exponent matrix. The proposed method owns a lower design complexity compared with the conventional graph-based methods. Numerical results show that the proposed codes perform well, and have no error floor down to a block error rate of 10-4.