The newly introduced family of complex chaotic maps has different behavior concerning the well-known complex chaotic maps. These complex maps have excellent properties such as invariant measures and fractal features. The present study introduces a new algorithm that, as a standard format, can be used in cyberspace. To achieve a low automatic correlation, S-box is constructed based on a complex map. Then, an image encryption algorithm based on a designated S-box is proposed. The complex and ergodic nature of the introduced hierarchy proposed the large and safe Keyspace for encryption. Theoretical and experimental results have indicated that the proposed algorithm is high sensitivity to key, and robust to attacks.

新引入的复杂混沌图族与众所周知的复杂混沌图有不同的行为。这些复杂的地图具有优良的特性，例如不变测度和分形特征。本研究介绍了一种新算法，作为一种标准格式，可用于网络空间。为了实现低自动相关性，S-box 是基于复杂图构建的。然后，提出了一种基于指定S-box的图像加密算法。引入的层次结构的复杂性和遍历性提出了用于加密的大而安全的密钥空间。理论和实验结果表明，该算法对密钥具有较高的敏感性，对攻击具有鲁棒性。