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A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion

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  • Wang, Mingxu
  • Fu, Xianping
  • Teng, Lin
  • Yan, Xiaopeng
  • Xia, Zhiqiu
  • Liu, Pengbo

Abstract

Chaotic systems are commonly being researched for applications in cryptography. In this study, a novel chaotic two-dimensional hyperchaotic exponential adjusted Logistic and sine map (2D-HELS) is derived from the well-known two-dimensional Logistic map and Sine maps. The resulting chaotic system is demonstrated with the help of bifurcation diagram, chaos trajectories, Lyapunov exponent, sample entropy, permutation entropy, and 0–1 test. A new image encryption algorithm (IEA) is proposed utilizing the 2D-HELS to ensure the essential characteristics of a good cryptographic structure “permutation-diffusion”. The IEA utilizes dynamic confusion strategy and RNA operation to achieve a highly secure cipher-image. Theoretical analysis and simulation results are compared with some recently developed cryptosystems. It demonstrates that the 2D-HELS-IEA has splendid achievement in well-known security indicators. Hence, the 2D-HELS-IEA is highly secure as a conclusion.

Suggested Citation

  • Wang, Mingxu & Fu, Xianping & Teng, Lin & Yan, Xiaopeng & Xia, Zhiqiu & Liu, Pengbo, 2024. "A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924005113
    DOI: 10.1016/j.chaos.2024.114959
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    References listed on IDEAS

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    5. Zhou, Shuang & Zhao, Zhipeng & Wang, Xingyuan, 2022. "Novel chaotic colour image cryptosystem with deep learning," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
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