International Journal of Engineering and Management Research (IJEMR)

The current world of digital communication secure data communication prime task. This paper discusses a new modified method for provide the security of the information in the unsecure communication channel. In this proposed paper implement a GF theory on digital data. In this thesis explore a variety of applications of the theory and applications of arithmetic and computation in the finished fields of cryptography and cryptanalysis as well as in the field of digital communication. For the improvement of security of the codes using the Galious field (G.F.). Computation over finite fields (also called Galois fields) is an active area of research in number theory and algebra, and finds many applications in cryptography, error control coding and combinatorial design. The proposed shows better security as compare to other encoding and decoding method. The proposed method shows good result not only in the security purpose also in the frequency level on FPGA implementation.