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Visual Cryptography Scheme with Essential Participants

Author

Listed:
  • Peng Li

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

  • Liping Yin

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

  • Jianfeng Ma

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

Abstract

Visual cryptography scheme (VCS) shares a binary secret image into multiple shadows printed on transparencies. Stacking shadows can visually decode the secret image without computational resources. Specifically, a ( k , n ) threshold VCS (( k , n )-VCS) shares a secret image into n shadows, stacking any k shadows can reveal the secret image by human visual system, while any less than k shadows cannot decode any information regarding the secret image. In practice, some participants (essentials) play more important roles than others (non-essentials). In this paper, we propose a ( t , s , k , n ) VCS with essential participants (so called ( t , s , k , n )-EVCS). The secret image is shared into n shadows with s essentials and n - s non-essentials. Any k shadows, including at least t essentials, can reveal the secret image. The proposed scheme is constructed from a monotonic ( K , N )-VCS. The condition and optimal choice of ( K , N )-VCS to construct ( t , s , k , n )-EVCS are given by solving integer programming model. The experimental results are conducted to verify the feasibility of our scheme.

Suggested Citation

  • Peng Li & Liping Yin & Jianfeng Ma, 2020. "Visual Cryptography Scheme with Essential Participants," Mathematics, MDPI, vol. 8(5), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:838-:d:361686
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    References listed on IDEAS

    as
    1. Dong Xie & Lixiang Li & Haipeng Peng & Yixian Yang, 2017. "A Secure and Efficient Scalable Secret Image Sharing Scheme with Flexible Shadow Sizes," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-17, January.
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    Cited by:

    1. Xin Wang & Peng Li & Zihan Ren, 2022. "Two-in-One Secret Image Sharing Scheme with Higher Visual Quality of the Previewed Image," Mathematics, MDPI, vol. 10(5), pages 1-15, February.
    2. Zihan Ren & Peng Li & Xin Wang, 2022. "An Implementation of Image Secret Sharing Scheme Based on Matrix Operations," Mathematics, MDPI, vol. 10(6), pages 1-18, March.

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