Abstract
Chaotic system plays a momentous role in the field of image encryption. An encryption algorithm based on Long Short-term Memory optimized by Kolmogorov–Arnold Networks (LSTM-KAN) for generating a two-dimensions new chaotic signal is proposed in this paper. The chaotic behavior of the signal is demonstrated through a series of analytical methods. The advantage of the new chaotic signal is that it has no formula expression. Following this, a new image encryption algorithm is subsequently proposed. The algorithm divides the image into high and low bit planes, scrambles them using Hilbert–Zigzag. After performing a confusion operation with the chaotic signal, it selectively shifts the 8-bit binary pixels and subsequently performs global diffusion. The simulation and analysis results show that our image encryption algorithm can resist various attacks and offers higher security. Especially, it performs excellently against differential attack.
Funding Information
  • National Natural Science Foundation of China (81460279)
  • National Natural Science Foundation of China (62461049)
  • Inner Mongolia Natural Science Foundation (2024LHMS08045)
  • Inner Mongolia Natural Science Foundation (2022LHMS06005)
  • Central Government Guides Local Science and Technology Development Fund Project of China (2023ZY0017)

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