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A three-dimensional chaotic map and their applications to digital audio security

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Abstract

In nonlinear dynamical systems, chaotic behavior is an attractive characteristic that has been broadly examined and researched over the most recent few decades. The chaotic systems are widely used in artificial intelligence and cryptology. Especially, these are considered efficient for multimedia data security. This manuscript has introduced a novel three dimensional (3-D) chaotic systems. The proposed maps are investigated through bifurcation diagrams and phase plots. The resulting diagrams demonstrates the chaotic attractor characteristic and the dynamic behavior of the suggested maps. Furthermore, a lossless audio encryption scheme is introduced utilizing the proposed chaotic maps. In the suggested scheme, the suggested 3-D chaotic sequences are utilized to shuffle the audio data points to achieve the diffusion property. In the confusion module, initially, the sequence of the audio data is divided into 8-bit and 7-bit sequences. Subsequently, the separated sequences are then substituted with different good quality substitution boxes, which are generated through a Mobius transformation over Galois fields. The suggested encryption algorithm is applied to the different audio files of various sizes and characters. The experimental results have revealed that the proposed scheme is capable to secure all kinds of audio files. The security analysis shows that the suggested scheme is capable to withstand differential and statistical attacks.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Dawood Shah, Tariq Shah, Muhammad Imran Haider & Ijaz Khalid

  2. Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa, Pakistan

    Imtiaz Ahamad

Authors
  1. Dawood Shah
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  2. Tariq Shah
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  3. Imtiaz Ahamad
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  4. Muhammad Imran Haider
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  5. Ijaz Khalid
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Correspondence to Dawood Shah.

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Shah, D., Shah, T., Ahamad, I. et al. A three-dimensional chaotic map and their applications to digital audio security. Multimed Tools Appl 80, 22251–22273 (2021). https://doi.org/10.1007/s11042-021-10697-3

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  • DOI: https://doi.org/10.1007/s11042-021-10697-3

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