An S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed. The output of an S-box can be regarded as a group of Boolean functions. Therefore, we can use the different properties of chaos and Bent functions to generate a random Bent function with a high nonlinearity. By constructing a set of Bent functions as the output of an S-box, we can create an S-box with good cryptological properties. The nonlinearity, differential uniformity, strict avalanche criterion and the independence criterion of output bits are then analyzed and tested. A security analysis shows that the proposed S-box has excellent cryptographic properties.

中文翻译：

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基于混沌和Bent函数的S-Box的构造

S盒是对称加密算法中最重要的部分。利用混沌理论提出了各种方案。提出了一种具有良好密码学性质的S-box的构造方法。S-box的输出可以视为一组布尔函数。因此，我们可以使用混沌和Bent函数的不同属性来生成具有高非线性度的随机Bent函数。通过构造一组Bent函数作为S-box的输出，我们可以创建具有良好密码学特性的S-box。然后分析和测试了输出比特的非线性，微分均匀性，严格雪崩准则和独立准则。安全分析表明，所提出的S-box具有出色的加密特性。