Reed-Solomon码是由Irving S. Reed和Gustave Solomon于1960年提出的一组纠错码。它们广泛应用于多个领域,如MiniDiscs、CD、DVD、蓝光光盘、QR码、DSL、WiMAX等数据传输技术,以及卫星通信、DVB、ATSC等广播系统,还有存储系统中的RAID 6等。 二进制BCH码是q元循环码(q-ary cyclic codes)的一种特殊情况,其中q=pm(...
系统编码(Systematic encoding) Reed-solomon 为前向纠错码(forward error correcting)的子类-线性分组码(line block code)的一种,通过添加冗余数据来抵抗信号传输过程中发生的翻转(bit flip)和丢失(erasure)。从信息论角度看,FEC属于信道编码(channel coding),与信源编码(source coding)的目的正好相反。 通信 通信(...
PROBLEM TO BE SOLVED: To show a method for realizing each Reed-Solomon (RS) encoding and decoding processing through an operation element (PE) that has one multiplier and to provide an RS encoding that uses it, an decoder and its circuit.IWAMURA KEIICHI...
// Reed-Solomon encoding void rs_encode(unsigned char* data, int data_size, unsigned char* rs_code) { int rs_code_size = RS_BLOCK_SIZE - data_size; // Initialize RS coder array unsigned char* rs_coder = (unsigned char*) malloc(RS_BLOCK_SIZE * sizeof(unsigned char)); for (int ...
If you need to store or transmit data, and be able to recover it if some is lost, you might want to look at Reed-Solomon coding. Using our code is an easy way to get started. About Brian Beach Brian has been writing software for three decades at HP Labs, Silicon Graphics, Netscape...
Note that fm(x)∈Fq[x] is a polynomial of degree≤k−1.The encoding of m is the evaluation of fm(x)at all theαi ’s: RS(m)=,fm(α1),fm(α2), . . . ,fm(αn), We call this image Reed-Solomon code or RS code after two inventors Irving Reed and Gus Solomon of this...
Source Code (Classes) Reed Solomon Namespace Source Code (Classes) Reed Solomon Namespace Sourc Code( Encoding Procedure ) convert block data into messge polynomial message polynomial divided by generator, result is check(paritis) polynomial parities data append to the end of ...
Figure1.1.:EncodingandDecodingProcesses DesignMethodologyDesignMethodology 187symbolsindecForcefileinhex VerilogHDL Implementation inRTLlevel(3) Behavior/Functional simulatorwrittenin VC++(2) TestVector Generator(1) FPGA Implementation(4) ReedSolomonEncoderReedSolomonEncoder ...
This section assumes you know the basics of Reed-Solomon encoding. A good start is this Backblaze blog post. This package performs the calculation of the parity sets. The usage is therefore relatively simple. First of all, you need to choose your distribution of data and parity shards. A '...
Reed-Solomon encoding and decoding is based on a specialist area of mathematics known as Galois fields or finite fields. These arithmetic operations require special hardware or software functions to implement, but the Reed-Solomon code is a very powerful coding technique and is widely used in disk...