中文摘要：

RSA公钥密码体制的安全性依赖于大整数因数分解的困难性,目前安全素数产生难度大,运算时间长。文章根据素数的特殊表示法研究了一种高速的安全素数算法,针对当今的信息安全问题和数字图像的特点,提出了一种基于图像信息摘要和RSA的图像加密技术,利用图像信息摘要构造图像像素置乱矩阵并对图像像素矩阵进行置乱后再运用RSA公钥加密算法对置乱后的图像快速加密。

英文摘要：

The security of RSA public key cryptosystem depends on difficulty of big integer factorization. It is quite complicated and difficult to calculate the secure prime number. This paper describes a method for fast calculating the secure prime number according to the special prime number representation. Aiming at the problem of information security and the characters of digital image nowadays, this paper proposes an image encryption technique based on image message digest and RSA. By using the image message digest, the image pixel confusion matrix is constructed, and the image pixel matrix is confused, then the confused image is encrypted by RSA public key encryption algorithm.