This thesis introduces the advantages of RS code,and selects the RS(31,15,17)code as the approach of error-correcting-coding according to the properties of low-speed channels.

Step-by-step decoding algorithm of RS code and its software realization;

Decoding DEC RS code on FPGA;

Time Domain Encoding and Frequency Domain Decoding Techniques for RS Code;

Improved algebraic soft-decision decoding algorithm for Reed-Solomon codes;

Distributed Soft-decision Decoding of Reed-Solomon Codes Based on Cooperative Network;

Soft-decision decoding algorithm of Reed-Solomon codes using multiple biases

A digital watermarking sharing algorithm based on the Reed-Solomon code and liner transformation secret sharing scheme is presented in this paper.

Reed-Solomon code, a powerful error correcting code for burst and random errors, is widely applied to deep space communications, mobile communications, disk array, digital video broadcasting system (DVB), and so on.

In the scheme of the system, Reed-Solomon code is adopted to produc.

Decoding method for RS codes in weakly-dual-basis;

In order to use standard GF(256) RS codes in EPON when the size of the information frame is more than 255 symbols and improve the coding gain,a new decoding method forshortening RS codes is proposed,which are presented by superposition encoding and iterative decoding.

This paper also proposes a new method for pretreating secret information,which encodes secret information using the RS codes M public key cipher system.

The FEC encoding part including RS coding, convol utional interleaver and punctured convolutional coding,is designed with VHDL and implemented with FPGA,and the FEC decoding part implemented with dedicated IC.