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Image sharing scheme based on combination theory
Authors:Zhengjun Liu  Muhammad Ashfaq Ahmad  Shutian Liu  
Institution:aHarbin Institute of Technology, Department of Physics, Harbin 150001, PR China;bHarbin Institute of Technology, Department of Automation Measurement and Control Engineering, Harbin 150001, PR China;cCOMSATS Institute of Information Technology, Department of Physics, Lahore 54000, Pakistan
Abstract:We present a simple algorithm for sharing and hiding secret image based on combination theory. The secret image is firstly encrypted by matrix multiplications and then shared into many shadow images by multiplying binary random sampling matrices. The sampling matrices randomly assign the pixel values to the shadow images which satisfy a specific combination rule as a constrain, so that the (tn) threshold secret sharing scheme can be implemented. Numerical experiments have demonstrated the effectiveness of this image sharing algorithm.
Keywords:Sharing secret images  Image hiding  Combination theory
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