幻方群在图像置乱中的研究与应用

为了提高幻方置乱图像的加密效果和增大密钥空间，提出了一种新的基于幻方群的图像置乱算法。首先利用镶边法构造一组同心幻方并将其生成幻方群，然后对幻方群内的每个同心幻方进行变换，再对幻方群整体进行变换，最后用变换后的矩阵对图像进行迭代置乱，充分打乱图像各像素点的相关性。仿真实验表明，该算法对传统幻方置乱图像的连续性问题有了明显的改进，且置乱效果明显好于传统幻方置乱图像算法。该算法是一个实用的、有效的图像加密算法。

Study and Application of Magic Square Group in Process of Image Scrambling

To improve the effect of magic square scrambling algorithm and increase key space,a new digital image encryption algorithm based on magic square group was presented, first the algorithm generated magic square group using a set of concentric magic-squares constructed by edging method. Then the correlation of each digital image pixel positions was disrupted by using magic square group com- posed of concentric magic-squares which had been transformed. Consequently, dual iteration of pixel position was completed and the en- cryption algorithm of image scrambling based on traditional magic square was improved. Experimental results show that the effect of the proposed method outperformed the image encryption algorithm based on traditional magic square in continuity of digital image pixel dots and has better consequence;It is a very useful and effective image encryption algorithm.