Indian Journal of Science and Technology

Abstract

Objectives: This paper proposes efficient extended hamming codes to find & rectify a single error (SEC) as well as find large number of double & triple adjacent errors (DAED) or (TAED). Methods: (n, k) hamming codes are utilized to implement the proposed system. The codeword of (n, k) hamming codes have ‘n’ bit. From these ‘n’ bit error combinations are found by using MATLAB design tool. From detected error combinations, the order of code bits is changed according to bit replacement algorithm. Calculated codewords are shuffled in order to obtain high probability of detection in double & triple errors. Findings: Calculated Hamming SEC-DAED-TAED codes (Bit-reordered codeword) gives 45% of probability of detection improvements in double adjacent error detection and 33% of probability of detection improvements in triple adjacent error detections when compared to normal order based hamming SEC-DAED-TAED codes. 128-bit Advanced Encryption Standard (AES) encryption standard is considered as one of the applications of developed hamming code. Applications: Mobile banking, Internet banking, space and terrestrial communications are considered as the important applications of proposed hamming codes based AES encryption.
Keywords: Advanced Encryption Standard (AES), Bit Replacement Algorithm, Extended Hamming Codes, Error Detection and Correction codes, Very Large Scale Integration (VLSI)