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中国物理学会期刊

基于非线性级联傅里叶变换的光学Hash函数构造

CSTR: 32037.14.aps.59.1762

Construction of optical Hash function based on nonlinear cascaded Fourier transform

CSTR: 32037.14.aps.59.1762
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  • 提出一种基于非线性级联傅里叶变换的光学Hash函数的构造方法.此方法分为两轮单向加密过程,在第一轮中,先将待处理的数字信息以512 bit作为数据块编码,将整个数字信息整分成若干个“8×8的256阶灰度图像”(信息平面),然后在光电混合系统中对上述信息平面组做非线性级联傅里叶变换得到一个数值矩阵,对其进行扩展后得到4个信息平面,再对它们做非线性级联傅里叶变换得到64 bit的Hash值(hash1);在第二轮中,先将原始信息平面中的每个数值循环左移4位,构造出相应的辅助信息平面组,然

     

    A method of constructing optical Hash function based on nonlinear cascaded Fourier transform is proposed. The proposed method consists of two single one-way encryption processes. In the first process, the digital information is divided to several data blocks with 512-bit each. The data blocks are encoded to 8 by 8 sub-images with 256 gray scales, creating information planes. Then take a nonlinear cascaded Fourier transform of sub-image to generate a data matrix through an optical/digital hybrid system. By extending the data matrix we get four information planes. Again, taking nonlinear cascaded Fourier transform to built information planes, we get a Hash value 64-bit long (hash1). In the second process, we shift cydically every numerical value of the original information planes by 4-bit, constructing auxiliary information planes. Thereafter we take the same operations as we have done in the first process to the Hash value (hash2). Once hash1 and hash2 obtained, they are combined to form a final Hash value 128-bit long (hash). Furthermore, the avalanche effect coefficient (AEC) was also proposed to evaluate the performance of the optical Hash function. Theoretical analysis and simulation results are presented to show the effectiveness of optical Hash function constructed by our approach and the constructed optical Hash function has good performance of avalanche effect and collision resistance.

     

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