本文研究了一种基于循环移位矩阵结构的LDPC码，提出了一种高效的基于特征矩阵的LDPC码构造算法。
An LDPC code structure using cyclic shift matrices and an efficient LDPC code construction algorithm using the characteristic matrices is proposed.
本文给出了有限域上多项式的友矩阵的某些性质，及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。
This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.
接着，针对生成矩阵的准循环特性，提出了一种新的基于反馈移位寄存器的编码电路，并用FPGA进行了实现。
Next, according to the characteristics of quasi-cyclic matrix, a new encoding circuit using feedback shift registers is proposed and implemented by FPGA.
接着，针对生成矩阵的准循环特性，提出了一种新的基于反馈移位寄存器的编码电路，并用FPGA进行了实现。
Next, according to the characteristics of quasi-cyclic matrix, a new encoding circuit using feedback shift registers is proposed and implemented by FPGA.
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