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

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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.

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Acknowledgments

We thank the two anonymous referees for their valuable and insightful comments. The first author is grateful to the Science & Engineering Research Board, Government of India for providing financial support through project file no. YSS/2015/000930.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Sciences-Pilani, Hyderabad Campus, Hyderabad, 500078, Telangana, India

    Manish Kumar, G. Sathish & Michael Alphonse

  2. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

    Rachid Ait Maalem Lahcen

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  1. Manish Kumar
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  2. G. Sathish
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  4. Rachid Ait Maalem Lahcen
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Correspondence to Manish Kumar.

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Kumar, M., Sathish, G., Alphonse, M. et al. A new RGB image encryption using generalized heat equation associated with generalized Vigen\(\grave {e}\)re-type table over symmetric group. Multimed Tools Appl 78, 28025–28061 (2019). https://doi.org/10.1007/s11042-019-07893-7

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