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XOR-based Visual Cryptography Schemes

机译：基于XOR的视觉密码方案

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摘要

A recent publication introduced a Visual Crypto (VC) system, based on the polarisation of light. This VC system has good resolution, contrast and colour properties. Mathematically, the VC system is described by the XOR operation (modulo two addition). In this paper we investigate Threshold Visual Secret Sharing schemes associated to XOR-based VC systems. Firstly, we show that n out of n schemes with optimal resolution and contrast exist, and that (2, n) schemes are equivalent to binary codes. It turns out that these schemes have much better resolution than their OR-based counterparts. Secondly, we provide two explicit constructions for general k out of n schemes. Finally, we derive bounds on the contrast and resolution of XOR-based schemes. It follows from these bounds that for k < n, the contrast is strictly smaller than one. Moreover, the bounds imply that XOR-based k out of n schemes for even k are fundamentally different from those for odd k.
机译：最近的出版物基于光的偏振引入了视觉加密（VC）系统。该VC系统具有良好的分辨率，对比度和色彩属性。在数学上，VC系统是通过XOR操作（模二加法）来描述的。在本文中，我们研究了与基于XOR的VC系统关联的阈值可视秘密共享方案。首先，我们证明存在具有最佳分辨率和对比度的n个方案中的n个方案，并且（2，n）个方案等效于二进制代码。事实证明，这些方案比基于OR​​的方案具有更好的分辨率。其次，我们为n个方案中的第k个方案提供了两种显式构造。最后，我们得出基于XOR方案的对比度和分辨率的界限。从这些边界可以得出，对于k

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