FPGA based design of Reed Solomon codes

Quantum Reed-Solomon Codes

During the last years it has been shown that computers taking advantage of quantum mechanical phenomena outperform currently used computers. The striking examples are integer factoring in polynomial time (see [8]) and finding pre– images of an n–ary Boolean function (“searching”) in time O( √ 2n) (see [5]). Quantum computers are not only of theoretical nature—there are several suggestions how t...

Parallel Reed-Solomon Codes

The compound and integrated parallel Reed-Solomon (RS) codes for multichannel communication systems are suggested. The matrix model of errors for such codes is investigated. Methods of coding and decoding of parallel RS codes, and also methods of increase of their error correcting capability are developed.

Reed-solomon Group Codes

Code Constructions based on Reed-Solomon Codes

Reed–Solomon codes are a well–studied code class which fulfill the Singleton bound with equality. However, their length is limited to the size q of the underlying field Fq. In this paper we present a code construction which yields codes with lengths of factors of the field size. Furthermore a decoding algorithm beyond half the minimum distance is given and analyzed.

Design and Implementation of Reed Solomon Encoder on FPGA

Error correcting codes are used for detection and correction of errors in digital communication system. Error correcting coding is based on appending of redundancy to the information message according to a prescribed algorithm. Reed Solomon codes are part of channel coding and withstand the effect of noise, interference and fading. Galois field arithmetic is used for encoding and decoding reed ...