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A new one-dimensional cosine polynomial chaotic map and its use in image encryption

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Abstract

In this paper, we propose a new real one-dimensional cosine polynomial (1-DCP) chaotic map. The statistical analysis of the proposed map shows that it has a simple structure, a high chaotic behavior, and an infinite chaotic range. Therefore, the proposed map is a perfect candidate for the design of chaos-based cryptographic systems. Moreover, we propose an application of the 1-DCP map in the design of a new efficient image encryption scheme (1-DCPIE) to demonstrate the new map further good cryptographic proprieties. In the new scheme, we significantly reduce the encryption process time by raising the small processing unit from the pixels level to the rows/columns level and replacing the classical sequential permutation substitution architecture with a parallel permutation substitution one. We apply several simulation and security tests on the proposed scheme and compare its performances with some recently proposed encryption schemes. The simulation results prove that 1-DCPIE has a better security level and a higher encryption speed.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103). Jinan City ‘20 uinversities’ funding projects Introducing Innovation Team Program (No:2019GXRC031)

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  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China

    Mohamed Zakariya Talhaoui, Xingyuan Wang & Mohamed Amine Midoun

  2. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Xingyuan Wang

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  1. Mohamed Zakariya Talhaoui
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Correspondence to Xingyuan Wang.

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Talhaoui, M.Z., Wang, X. & Midoun, M.A. A new one-dimensional cosine polynomial chaotic map and its use in image encryption. Vis Comput 37, 541–551 (2021). https://doi.org/10.1007/s00371-020-01822-8

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