1 Basics of Forward Error Correction (FEC) .............2 2 Theory ..................................................................... 3 2.1 Galois Fields ........................................................... 3 2.2 Reed-Solomon Codes ..............................................6 2.3 Error-Correcting Performance of Reed-Solomon Codes ..............................................9 3 SC...

In Reed-Solomon codes and all other maximum distance separable codes, there is an intrinsic relationship between the size of the symbols in a codeword and the length of the codeword. Increasing the number of symbols in a codeword to improve the efficiency of the coding system thus requires using a larger set of symbols. However, long Reed-Solomon codes are difficult to implement and many commun...

In this paper we present a modification of Reed-Solomon codes that beats the GuruwamiSudan 1− √ R decoding radius of Reed-Solomon codes at low rates R. The idea is to choose Reed-Solomon codes U and V with appropriate rates in a (U | U + V ) construction and to decode them with the Koetter-Vardy soft information decoder. We suggest to use a slightly more general version of these codes (but whic...

Interleaved Reed–Solomon codes are applied in numerous data processing, data transmission, and data storage systems. They are generated by interleaving several codewords of ordinary Reed–Solomon codes. Usually, these codewords are decoded independently by classical algebraic decoding methods. However, by collaborative algebraic decoding approaches, such interleaved schemes allow the correction ...

In the wireless communication, the error detection and correction techniques are widely used to achieve higher transmission efficiency. While transmitting the data, some coding techniques are deployed that provides the coding gain depending on its error correcting capability. Coding gain allows the wireless communication at lower transmit power level while maintaining low BER. Reed Solomon – Co...