Recently, the study of quasi-cyclic codes over fields have provided many useful results in coding theory.
近年来,域上准循环码的研究为编码理论提供了很多丰富的结果。
In this paper,we first introduce the conception of quasi-cyclic codes,then thoroughly study the method of constructing quasi-cyclic codes,and finally discuss the connection between quasi-cyclic codes and double cyclic codes and the implementing method of double cyclic codes encoding circuit.
文章首先简述了准循环码的概念,然后较为深入地研究了准循环码生成方法,最后讨论了双环循环码与准循环码的关系及其编码的电路实现。
It is shown that a code of the length n over F_p+uF_p+…+u~kF_p is linear if and only if its Gray image is linear,and a code of the length n is cyclic if and only if its Gray image is a quasi-cyclic code over F_p of the index p~(k-1) and the length p~k n.
定义了环(Fp+uFp+…+ukFp)n到Fppkn的一个Gray映射;给出Gray映射的几个性质,证明环Fp+uFp+…+ukFp上的长为n的线性码的Gray像仍是线性码;及该环上长为n的(1-uk)-循环码的Gray像是域Fp上的长为pkn、指数为pk-1的准循环码。
It is also shown that the generalized Gray map image of the((1-p~k)-cyclic) code is a distance-invariant(not necessarily linear) quasi-cyclic code.
文章引入了Zpk+1码和Zp2码之间的等距同构kφ(k≥1);利用kφ把G ray映射∶Zn4→F22n推广为∶Znpk+1→ZPpkn(p为素数);而且利用kφ,负循环码概念被推广到Zpk+1码,得到了(1-pk)-循环码;依据等距同构φk,给出了这些码的表示;也证明了(1-pk)-循环码在推广的G ray映射下的像是距离不变(不一定是线性的)的准循环码。
A necessary and sufficient condition for the Gray image of quasi-cyclic code to be cyclic is given.
最后,证明了码C是环Zp[u]/(um-1)上一个循环码的充分必要条件为它的Gray映射下的像是一个准循环码。
We discuss the structure of quasicyclic codes, regarding them as F_q[x]/ < x~m -1 > -submodules of F_q~l [x]/ < x~m - 1 >.
本文首先介绍了纠错码、循环码的基本知识和一些结果，讨论了准循环码的结构，即可以把准循环码看作F_q[x]／<x~m-1>模F_(q~l)[x]／<x~m-1>的子模，然后我们给出了文[2]两个结果的具体证明，并且计算了四个准循环码。
This paper discusses the performance of QC LDPC codes on counteracting the pulse noise using improved BP decoding algorithm with this model.
文章将电力线信道建模为加性白色A类噪声信道,在该信道模型中采用改进BP译码算法,研究准循环LDPC码的抗脉冲噪声性能,给出了在不同迭代次数下的仿真结果(表现出不同的译码性能)。
The key to improving the performance of QC LDPC codes is how to construct a parity-check matrix H with a girth distribution as good as possible.
在准循环LDPC码的构造中,校验矩阵拥有尽可能好的girth分布对于改善码的性能有着重要的意义。
The Binary Image of K-Cyclic Code, Cyclic Code and Quasi-Cyclic Code over Z_4;
环Z_4上的K-循环码，循环码和准循环码的二进制像
The Generalized Quasi-cyclic Codes Over Ring Z_(2k1+);
环Z_(2k1+)上的广义准循环码
Quasi-cyclic codes over F_p+uF_p+…+u~kF_p
环F_p+uF_p+…+u~kF_p上的准循环码
Construction of QC-LDPC Codes based on Cyclic Groups
基于循环群的准循环LDPC码构造
FPGA Decoder Implementation for Quasi-Cyclic Low-Density Parity-Check Codes;
准循环低密度校验码译码器的FPGA实现
Design of Codec for Quasi-cyclic LDPC Codes and Its FPGA Implementation
准循环LDPC码的编译码器设计及FPGA实现
Construction of Quasi-Cyclic LDPC Block and Convolutional Codes
准循环LDPC分组码和卷积码的构造
An 800Mbps Quasi-Cyclic LDPC Encoder Implementation with FPGA
800Mbps准循环LDPC码编码器的FPGA实现
An FPGA Implementation of QC-LDPC Decoder
准循环LDPC码译码器的FPGA实现
The Essential Conditions of Quasi-cyclic LDPC Codes without Girth 4
准循环LDPC码不存在四环的充要条件
Algorithm for a class of balanced-cycles in QC-LDPC codes
一类准循环LDPC码的平衡环的算法
Research on the Construction of Good Quasi-Cyclic LDPC Codes
高性能准循环LDPC码的构造研究
Design of Novel Cyclic Shift Permutation Structure for Quasi-Cyclic LDPC Codes Decoder
适用于准循环LDPC码译码器的新型循环移位置换结构设计
Design and Implementation of Decoder for Quasi-Cyclic Low-Density Parity-Check Codes;
准循环低密度校验码译码器的设计与实现
Nonbinary Quasi-Cyclic LDPC Codes with Efficient Richardson-Urbanke Encoding Algorithm
用Richardson-Urbanke算法实现有效编码的非二元准循环LDPC码
PEG-Based Construction Method for Quasi-Cyclic LDPC
基于PEG算法的准循环LDPC码的编码构造方法
High throughput in-system programmable quasi cyclic LDPC encoder architecture
在线可编程准循环LDPC码高速编码器结构
Two Typical High Throughput Decoding Algorithms for QC-LDPC Codes
准循环LDPC码的两种典型快速译码算法研究