Recently, a new secure image encryption scheme was proposed based on a novel 2D sine–cosine cross‑chaotic map. The authors claimed that the encryption scheme they proposed was secure enough to resist all the existing cryptanalytic attacks. However, the multi-round original cryptosystem with permutation–bit diffusion structure (PBDS) was found to have three security vulnerabilities and was proved to be equivalent to the one-round cryptosystem with PBDS, which would lead to the original cryptosystem being successfully cracked by chosen-plaintext attack (CPA). Subsequently, two efficient and feasible attack schemes were proposed in this paper, and they require \(\left\lceil {\log_{2} W \times H} \right\rceil + 1\) and \(\left\lceil {\log_{256} W \times H} \right\rceil + 1\) times of CPA in total, respectively. Simulation and experimental results have verified the effectiveness and feasibility of the two attack schemes.

最近，基于新颖的二维正弦-余弦交叉混沌映射，提出了一种新的安全图像加密方案。作者声称，他们提出的加密方案足够安全，可以抵抗所有现有的密码分析攻击。但是，发现具有置换位扩散结构（PBDS）的多轮原始密码系统具有三个安全漏洞，并被证明与具有PBDS的单轮密码系统等效，这将导致原始密码系统被成功破解。选择明文攻击（CPA）。随后，本文提出了两种有效可行的攻击方案，它们需要\（\ left \ lceil {\ log_ {2} W \ times H} \ right \ rceil + 1 \）和\（\ left \ lceil { \ log_ {256} W \ times H} \ right \ rceil + 1 \）每次转化费用的总计次数。仿真和实验结果验证了这两种攻击方案的有效性和可行性。