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.
注意，一个DAG表示为矩阵，移位置的整行或整列仍然是等效的表示。
Note that for a DAG represented in Matrix, shifting position of entire row or entire column still makes the representation equivalent.
提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。
The key of this method is to spread a perfect sequence by correlation product of the shift sequences set of the perfect sequence and corresponding unitary matrix.
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.
校验码算法，采取矩阵移位算法，网络通讯中经常使用。
CRC Check Code algorithm, take the matrix transposition algorithm, frequently used in network communications.
本文首次定义和推导了移位切比雪夫多项式(第一类和第二类)的分离矩阵，它具有简洁的递推关系和三角形结构。
The separative matrices of shifted Chebyshev polynomials of the first and second kinds, which have a nice structure and an elegant recursive formula, are introduced at the first time.
提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。
Based on perfect sequences and unitary matrices, this paper constructs a kind of hexa-phase ZCZ sequence and also improved the method, finally analyzes their correlation functions.
引入了结式的矩阵形表示，提出了矩阵形结式的移位变换概念，并利用其得到了结式计算的一个简便方法。
This paper gives the further analysis of node voltage equations and its matrix form, and the methods to write out node equations with strong operation.
引入了结式的矩阵形表示，提出了矩阵形结式的移位变换概念，并利用其得到了结式计算的一个简便方法。
In this paper, by the fast algorithm for computing polynomials, we give a fast algorithm for finding the inverse and reflective g-inverse and Drain inverse of resultant cyclic matrix.
引入了结式的矩阵形表示，提出了矩阵形结式的移位变换概念，并利用其得到了结式计算的一个简便方法。
In this paper, by the fast algorithm for computing polynomials, we give a fast algorithm for finding the inverse and reflective g-inverse and Drain inverse of resultant cyclic matrix.
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