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...

Author Contributions:Dr Loprinzi had full access to all of the data in the study and takes responsibility for the integrity of the data and the accuracy of the data analysis. Study concept and design: Loprinzi, Brodowicz. Acquisition, analysis, or interpretation of data: Loprinzi, Sengupta, Solomon, Ramulu. Drafting of the manuscript: Loprinzi, Brodowicz. Critical revision of the manuscript for...

Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper [8], we showed that the received word u is a deep hole of the standard Reed-Solomon codes [q− 1, k]q if its Lagrange interpolation polynomial is the sum of monomial of degree q− 2 and a polynomial of degree at most k− 1. In this paper, we extend this result by giving a new class of deep holes of the...

We propose to reduce the decoding complexity of polar codes with non-Arikan kernels by employing a (near) ML decoding algorithm for the codes generated by kernel rows. A generalization of the order statistics algorithm is presented for soft decoding of Reed-Solomon codes. Algebraic properties of the Reed-Solomon code are exploited to increase the reprocessing order. The obtained algorithm is us...

Wireless networks have become a common means of communication, and their popularity continues to rise as they enable communication in locations and settings where it was previously unfeasible. While promising many advantages, these networks also pose new challenges. The limited radio coverage, unreliable nature of the wireless channel, and mobility of network nodes can lead to frequent disrupti...

395 Abstract—Reed-Solomon Codes are popularly used for error correction in many applications like storage devices (CD, DVD), wireless communications, high speed modems and satellite communications. In this paper, a modified scheme for programmable generator polynomial based Reed-Solomon encoder and decoder has been proposed. The works reported in this paper corrects errors in derived equations ...