Algebraic-Based Nonbinary LDPC Codes with Flexible Field Orders and Code Rates  

作　　者：Hengzhou Xu Dan Feng Cheng Sun Baoming Bai 

机构地区：[1]State Key Laboratory of Integrated Service Networks,Xidian University, Xi'an 710071, China [2]Science and Technology on Communication Networks Laboratory, Shijiazhuang 050081, China

出　　处：《China Communications》2017年第4期111-119,共9页中国通信（英文版）

基　　金：supported in part by National Basic Research Program of China under Grant No.2012CB316100;National Natural Science Foundation of China under Grants 61372074 and 91438101;Joint Funds of the National Natural Science Foundation of China under Grant No.U1504601;Science and Technology on Communication Networks Laboratory under Grant KX132600032

摘　　要：In this paper, we study the rank of matrices over GF(2~p),and propose two construction methods for algebraic-based nonbinary LDPC codes from an existing LDPC code, referred to as the original code. By multiplying all elements of each column of the binary parity-check matrix H corresponding to the original code with the same nonzero element of any field, the first class of nonbinary LDPC codes with flexible field order is proposed. The second method is to replace the nonzero elements of some columns in H with different nonzero field elements in a given field, and then another class of nonbinary LDPC codes with various rates is obtained. Simulation results show that the proposed nonbinary LDPC codes perform well over the AWGN channel with the iterative decoding algorithms.In this paper, we study the rank of matrices over GF（2^p）,and propose two construction methods for algebraic-based nonbinary LDPC codes from an existing LDPC code, referred to as the original code. By multiplying all elements of each column of the binary parity-check matrix H corresponding to the original code with the same nonzero element of any field, the first class of nonbinary LDPC codes with flexible field order is proposed. The second method is to replace the nonzero elements of some columns in H with different nonzero field elements in a given field, and then another class of nonbinary LDPC codes with various rates is obtained. Simulation results show that the proposed nonbinary LDPC codes perform well over the AWGN channel with the iterative decoding algorithms.

关 键 词：nonbinary LDPC codes algebraic-based LDPC codes rank iterative algorithms 

分 类 号：TN911.22[电子电信—通信与信息系统] TN912.3[电子电信—信息与通信工程]