International Journal of Engineering and Technology

Data coding and encoding standards require the high-performance error detection and correction algorithms. This paper presents the design error detection and corrects it by Galois Field and binary polynomial and extraction of its root. We start from and reach to . The Galois Field is explained along with its requirement and relationship between digital and Galois theories. Also Neural Network is used for extraction of some codes those have been explained in another article. Finally all of the coding and encoding are calculated and processed. The results shows successful design error detection and correction by employing Galois Field and binary polynomial and extraction of its root.