In this paper, the security analysis of a bit-level image chaotic encryption algorithm based on the 1D chaotic map is proposed. The original image chaotic encryption algorithm includes bit-level permutation encryption, diffusion encryption, and linear transform. Deciphering of it can be divided into two stages. First, bit-level permutation encryption, diffusion encryption, and linear transform can be simplified into bit-level equivalent permutation encryption and equivalent diffusion encryption, which is a key breakthrough point of cryptanalysis. Second, the chaotic sequence generated by this algorithm is independent of the plaintext image. Therefore, the equivalent diffusion key and the equivalent permutation key can be obtained by chosen-plaintext attack, respectively. Theoretical analysis and numerical simulation experiment results verify the effectiveness of the analytical method. Finally, some suggestions are proposed to promote the security of the original image chaotic encryption algorithm.

中文翻译：

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比特级图像混沌加密算法的密码学分析

提出了基于一维混沌图的位级图像混沌加密算法的安全性分析。原始图像混沌加密算法包括位级排列加密，扩散加密和线性变换。它的解密可以分为两个阶段。首先，可以将位级置换加密，扩散加密和线性变换简化为位级等效置换加密和等效扩散加密，这是密码分析的关键突破点。其次，该算法生成的混沌序列与明文图像无关。因此，可以通过选择明文攻击分别获得等效扩散密钥和等效置换密钥。理论分析和数值模拟实验结果验证了该方法的有效性。最后，提出了一些提高原始图像混沌加密算法安全性的建议。