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A secret image sharing scheme based on piecewise linear chaotic map and Chinese remainder theorem

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Abstract

In this paper, a secret image sharing scheme, by combining arithmetic compression coding and Chinese remainder theorem (CRT) is proposed. It is well known that arithmetic compression coding method for image has a good compressibility, and it can reduce the size of the shadow image, which consists of sharing values. Usually, a smaller shadow image is convenient to store and transmit. The piecewise linear map is applied to design compression coding scheme, which has the same properties as the conventional arithmetic compression coding. The CRT is used to construct the sharing scheme for compression codes. Meanwhile, it also has encryption effects in the process of sharing. Finally, the security and the effectiveness of the secret image sharing scheme are confirmed by some computer simulation results.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant 61472331, in part by the Talents of Science and Technology Promote Plan, Chongqing Science & Technology Commission.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China

    Wei Hua & Xiaofeng Liao

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  1. Wei Hua
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  2. Xiaofeng Liao
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Correspondence to Xiaofeng Liao.

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Hua, W., Liao, X. A secret image sharing scheme based on piecewise linear chaotic map and Chinese remainder theorem. Multimed Tools Appl 76, 7087–7103 (2017). https://doi.org/10.1007/s11042-016-3364-8

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  • DOI: https://doi.org/10.1007/s11042-016-3364-8

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