Highly dispersive S‐boxes are desirable in cryptosystems as nonlinear confusion sub‐layers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S‐box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S‐box. The proposed scheme is vetted using well‐established cryptographic performance criteria. The proposed S‐box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S‐box is also tested using an image encryption algorithm. Results show that the proposed S‐box as a confusion component entails a high level of security and improves resistance against all known attacks.

中文翻译：

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使用混沌的高度分散替代盒（S-box）设计

高度分散的S盒在密码系统中是理想的，它是抵抗现代攻击的非线性混淆子层。对于抵抗现代密码分析的近乎最佳的密码系统，需要高度非线性和低差分概率（DP）的值。我们提出了一种基于具有优化条件的分段线性混沌映射（PWLCM）的方法。因此，在对S-box进行差分密码分析期间，密码系统中信息的线性传播表现为高DP。当从混沌轨迹映射到整数域时，将执行随机性测试，以证明高度分散和非线性混沌S盒的非线性行为是正确的。使用完善的加密性能标准对提议的方案进行了审查。提议的S-box符合密码性能标准，并进一步最小化了低DP值所证明的差分传播。还使用图像加密算法测试了建议的S-box的适用性。结果表明，提议的S-box作为混乱的组件具有很高的安全性，并提高了对所有已知攻击的抵抗力。