A new RGB image encryption using generalized heat equation associated with generalized Vigen$\grave {e}$re-type table over symmetric group

Abstract

The primary aim of this paper is to provide an efficient encryption algorithm for RGB images. A new, fast and secure RGB image encryption using Generalized Heat Equation (GHE) associated with Generalized Vigen $\grave {e}$ re-type Table over Symmetric Group Sn (GVTSG) is proposed. Encryption keys are obtained from Random Key Sequence (RKS). We have generated RKS and GVTSG with the help of GHE. By using this GHE, we are able to test the randomness over the generated key sequence by applying National Institute of Standards and Technology (NIST) statistical test suite. A formula for the keyspace has also been obtained and it is shown that this keyspace resists brute force attack. The proposed encryption algorithm provides high security and a larger key space. The keys for encryption or decryption consume less storage to store it on both sender and receiver ends. Robustness of the proposed algorithm has been analyzed and compared with other competing existing algorithms.