In this paper, Reed Solomon (RS) decoder adopting the pipelined reduced inversion free Berlekamp Massey (pRiBM) algorithm is proposed. This Reed Solomon decoder is designed by equipping the Syndrome Computation unit, Key Equation Solver (KES), Chien search and Forney algorithm unit. The RS decoder requires long latency for decoding large number of test vectors. Therefore, the Reed Solomon decod...

In this paper we investigate the structure of quasi-BCH codes. In the first part of this paper we show that quasi-BCH codes can be derived from Reed-Solomon codes over square matrices extending the known relation about classical BCH and Reed-Solomon codes. This allows us to adapt the Welch-Berlekamp algorithm to quasi-BCH codes. In the second part of this paper we show that quasi-BCH codes can ...

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...

Journal of the Society for Industrial and Applied Mathematics. In June of 1960 the paper was published: five pages under the rather unpretentious title "Polynomial Codes over Certain Finite Fields" [17]. This paper described a new class of error-correcting codes that are now called Reed-Solomon codes. In the decades since their discovery, Reed-Solomon codes have enjoyed countless applications, ...

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...

in-service education programs have provided the professional development level of companies' employers, in the high quality form. the applying of in-service education programs has been a key component of professional development process for staff agro-industry company. the study is utilized experimental solomon four group designs to determine the impact of in-service education programs on agro-...

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 ...

he main aim of this paper is to give some essential background to the theory of Reed Solomon codes and the previous survey literature of the Reed Solomon error correction method using various algorithm.Reed Solomon codes have shown to be the best compromise between efficiency and complexity. These are cyclic codes and are used for the detection and correction of burst errors. Galois field is us...