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An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing

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  • Alghafis, Abdullah
  • Firdousi, Faiza
  • Khan, Majid
  • Batool, Syeda Iram
  • Amin, Muhammad

Abstract

In this research article, we have designed a novel image encryption scheme based on Deoxyribonucleic acid (DNA) and chaotic sequencing. We have studied sequences of different genes consisting of four bases, Adenine (A), Cytosine (C), Thymine (T) and Guanine (G), also known as nucleotides which are the fundamental code of life. The purpose of DNA is to store, copy and transmit the genetic information of the living organism. The proposed image encryption scheme uses the chaotic system to generate random sequences and to choose between two or more options. The image is totally transformed by first encoding it into DNA nucleotides, shuffling to achieve diffusion and then substitution is performed to achieve confusion. Then later the DNA fusion operation is performed on the DNA image and the DNA complements are applied on the resulting DNA image, a random number of times to break the residual correlation between the pixels. The cipher image has been tested to fulfill all the standard benchmarks to be categorized as a good ciphered image which includes entropy, correlation coefficient, Pearson’s chi square, peak signal to noise ratio, mean square error, mean absolute error, structure similarity indexed measures, differential analysis and histogram uniformity test.

Suggested Citation

  • Alghafis, Abdullah & Firdousi, Faiza & Khan, Majid & Batool, Syeda Iram & Amin, Muhammad, 2020. "An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 441-466.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:441-466
    DOI: 10.1016/j.matcom.2020.05.016
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    References listed on IDEAS

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    1. Junzo Watada, 2008. "Method Of Dna Computing And Its Application To Group Management," World Scientific Book Chapters, in: Luiz Moutinho & Kun-Huang Huarng (ed.), Advances In Doctoral Research In Management, chapter 9, pages 175-192, World Scientific Publishing Co. Pte. Ltd..
    2. Soriano-Sánchez, A.G. & Posadas-Castillo, C. & Platas-Garza, M.A. & Diaz-Romero, D.A., 2015. "Performance improvement of chaotic encryption via energy and frequency location criteria," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 112(C), pages 14-27.
    3. Li, Jie & Zheng, Jianliang & Whitlock, Paula, 2018. "Efficient deterministic and non-deterministic pseudorandom number generation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 143(C), pages 114-124.
    4. Kingni, Sifeu Takougang & Jafari, Sajad & Pham, Viet-Thanh & Woafo, Paul, 2017. "Constructing and analyzing of a unique three-dimensional chaotic autonomous system exhibiting three families of hidden attractors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 172-182.
    5. Xiuli Chai & Zhihua Gan & Yang Lu & Yiran Chen & Daojun Han, 2017. "A novel image encryption algorithm based on the chaotic system and DNA computing," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-24, May.
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    Cited by:

    1. Shijie Zhang & Lingfeng Liu & Hongyue Xiang, 2021. "A Novel Plain-Text Related Image Encryption Algorithm Based on LB Compound Chaotic Map," Mathematics, MDPI, vol. 9(21), pages 1-25, November.
    2. Shaista Mansoor & Parsa Sarosh & Shabir A. Parah & Habib Ullah & Mohammad Hijji & Khan Muhammad, 2022. "Adaptive Color Image Encryption Scheme Based on Multiple Distinct Chaotic Maps and DNA Computing," Mathematics, MDPI, vol. 10(12), pages 1-20, June.
    3. Cuevas, Erik & Becerra, Héctor & Luque, Alberto, 2021. "Anisotropic diffusion filtering through multi-objective optimization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 410-429.
    4. Zhu, Shenli & Deng, Xiaoheng & Zhang, Wendong & Zhu, Congxu, 2023. "Secure image encryption scheme based on a new robust chaotic map and strong S-box," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 322-346.
    5. Bezerra, João Inácio Moreira & Machado, Gustavo & Molter, Alexandre & Soares, Rafael Iankowski & Camargo, Vinícius, 2023. "A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    6. Xianglian Xue & Dongsheng Zhou & Changjun Zhou, 2020. "New insights into the existing image encryption algorithms based on DNA coding," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-31, October.
    7. Zhang, Shijie & Liu, Lingfeng, 2021. "A novel image encryption algorithm based on SPWLCM and DNA coding," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 723-744.
    8. Zou, Chengye & Wang, Xingyuan & Zhou, Changjun & Xu, Shujuan & Huang, Chun, 2022. "A novel image encryption algorithm based on DNA strand exchange and diffusion," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    9. Kumar, Krishna & Roy, Satyabrata & Rawat, Umashankar & Malhotra, Shashwat, 2022. "IEHC: An efficient image encryption technique using hybrid chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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