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A noise-tolerant cryptosystem based on the decomposition of bit-planes and the analysis of chaotic gauss iterated map

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Abstract

Secure communication has become a challenging task for researchers. In these circumstances, several encryption techniques for digital images have been proposed. In this paper, a new cryptosystem for color images is proposed based on the bit-plane decomposition, chaos theory and discrete wavelet transform (DWT). Bit plane decomposition and DWT are incorporated in order to reduce the overall computational time of the proposed encryption algorithm. To achieve the desired purpose, only the low frequency band is considered for the encryption, because a major part of the plaintext image lies in the low-frequency components. Moreover, chaotic maps are deployed to generate the random sequences and the key-image, which are used to create the diffusion in the plaintext image. For creating the randomness in the plaintext image, the seed values are selected based on the analysis of Gauss Iterated Map (GIM). The cipher image generated using the proposed encryption algorithm can also tolerate channel noise. If the ciphered data are altered by an unauthorized person or by the noisy channel, the plaintext image can still be recovered with little loss of information. The proposed work’s noise tolerance is assessed using cropping and noise attack analysis. To figure out the strength of the proposed cryptosystem, security parameters such as unified average change intensity (UACI) and number of pixels change rate (NPCR), entropy, energy, contrast correlation, and entropy are under consideration. The entropy values, NPCR and UACI, are larger than 7.99, 33 and 99.4%, respectively, which are remarkable.

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  1. Riphah International University, Islamabad, Pakistan

    Arslan Shafique

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Shafique, A. A noise-tolerant cryptosystem based on the decomposition of bit-planes and the analysis of chaotic gauss iterated map. Neural Comput & Applic 34, 16805–16828 (2022). https://doi.org/10.1007/s00521-022-07327-w

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