Visual multiple secret sharing based upon turning and flipping
Visual multiple secret sharing based upon turning and flipping
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DOI：
10.1016/j.ins.2011.02.003
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发表时间：
2011-08
期刊：
影响因子：
--
通讯作者：
S. Shyu;Kun-Yen Chen
中科院分区：
文献类型：
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作者：
S. Shyu;Kun-Yen Chen
传统视觉密码中的秘密共享方案能够将一幅秘密图像共享成一组矩形形式的随机子块（称为份额），当它们叠加时，秘密图像向人类视觉系统显示。近年来，涉及多个秘密的可视秘密共享方案引起了人们的广泛关注。通过在两个编码圆份额之一上采用旋转，可以共享两个以上的秘密。然而，圆形份额的编码和解码过程需要比矩形或正方形份额更复杂的机制。在本文中，我们探索了使用简单的两个矩形或正方形份额进行视觉多秘密共享的可能性。具体地说，我们定义了一些基于翻转或翻转的透明操作。然后，我们提出了视觉密码方案，能够编码两个或四个秘密到两个矩形份额和多达八个秘密到两个正方形份额，这样的秘密不能从任何单一的份额，而他们透露的堆叠下的各种组合的转动或翻转操作的两个份额。这些方案从理论上和实践上充分阐述了编码份额与共享秘密之间的关系，拓宽了研究范围，丰富了视觉密码或图像加密的灵活性和适用性。
The secret sharing schemes in conventional visual cryptography are capable of sharing one secret image into a set of random transparencies (called shares) in the form of rectangles, which reveal the secret image to the human visual system when they are superimposed. Recently, visual secret sharing schemes involving multiple secrets have attracted much attention. By adopting rotations on one of the two encoded circle shares, more than two secrets could be shared. Yet, the encoding and decoding processes of circle shares need more sophisticated mechanisms than those of rectangular or square ones. In this paper, we explore the possibilities of visual multiple secret sharing using simply two rectangular or square shares. Specifically, we define some operations onto a transparency based upon turning over or flipping around. Then we propose visual cryptographic schemes that are able to encode two or four secrets into two rectangular shares and up to eight secrets into two square shares such that the secrets cannot be obtained from any single share, whereas they are revealed by stacking the two shares under various combinations of turning or flipping operations. The proposed schemes, which solidly elaborate the relationship between the encoded shares and the shared secrets, broaden the research scope and enrich the flexibility and applicability of visual cryptography or image encryption theoretically and practically.