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Single-channel color image encryption algorithm based on fractional Hartley transform and vector operation

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Abstract

A single-channel color image encryption algorithm is proposed by combining fractional Hartley transform (FRHT) with vector operation. The original color image is decomposed into RGB components and the G and B components are encrypted into two phase-only masks θ G and θ B with vector operation, respectively. The R, θ G and θ B are transformed by FRHT and vector operation twice to obtain amplitude, random phase and decryption phase key. The new amplitude combined with the random phase is transformed by FRHT once more and then the result is scrambled by the chaotic scrambling to strengthen the security of the algorithm. The private phase key is dependent on the original image, which makes the proposed encryption algorithm more secure than the linear color image encryption algorithm based on the double random phase encoding in FRHT. Simulation results demonstrate the security and effectiveness of the proposed algorithm.

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Acknowledgments

The work is supported by the National Natural Science Foundation of China (Grant Nos. 61262084 and 61141007), the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (Grant No. 20122BCB23002), and the Opening Project of Key Laboratory of Image Processing and Pattern Recognition (Nanchang Hangkong University), Jiangxi Province (Grant No. TX201204002).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Ye Liu, Juan Du, Jinghui Fan & Lihua Gong

  2. Jiangxi Province Key Laboratory of Image Processing and Pattern Recognition, Nanchang Hangkong University, Nanchang, 330063, China

    Lihua Gong

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  1. Ye Liu
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  2. Juan Du
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  3. Jinghui Fan
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  4. Lihua Gong
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Correspondence to Ye Liu.

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Liu, Y., Du, J., Fan, J. et al. Single-channel color image encryption algorithm based on fractional Hartley transform and vector operation. Multimed Tools Appl 74, 3171–3182 (2015). https://doi.org/10.1007/s11042-013-1778-0

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  • DOI: https://doi.org/10.1007/s11042-013-1778-0

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