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A new RGB image encryption using generalized Vigenére-type table over symmetric group associated with virtual planet domain

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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 algorithm using generalized Vigenére table over the symmetric group \(S_{n}\) associated with Virtual Planet Domain (VPD) is proposed. Also a new method to generate random key space using generalized Vigenére cipher is introduced. Randomness of the proposed key space has been verified by using NIST statistical test suite. A formula for the key space has also been obtained and it is shown that this key space resists brute force attack. The VPD has been designed to encode RGB image into VPD, which provides a fine interlacing among binary bit for each pixel. The proposed algorithm has been tested on standard RGB images. Robustness of the proposed algorithm has been successfully verified by using commonly known attacks (such as, differential, cropped, and noise, entropy attacks). Finally, the proposed technique has been compared with other existing algorithms and the data (shown in tables) confirm that the proposed algorithm is competitive and can resist exhaustive attacks efficiently.

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Acknowledgments

We thank to the two anonymous referees for their valuable comments. The first author is thankful 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 Science-Pilani, Hyderabad Campus, Hyderabad, Telangana, 500078, India

    Manish Kumar, Sajal Agarwal & G. Sathish

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

    R. N. Mohapatra

  3. Department of Mathematics, National Institute of Technology Raipur, Raipur, Chhattisgarh, 492010, India

    S. N. Raw

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  1. Manish Kumar
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  2. R. N. Mohapatra
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  3. Sajal Agarwal
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  4. G. Sathish
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  5. S. N. Raw
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Correspondence to Manish Kumar.

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Appendix

Appendix

figure h

NIST statistical test suite result

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Kumar, M., Mohapatra, R.N., Agarwal, S. et al. A new RGB image encryption using generalized Vigenére-type table over symmetric group associated with virtual planet domain. Multimed Tools Appl 78, 10227–10263 (2019). https://doi.org/10.1007/s11042-018-6586-0

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