S-Boxes with Exceptional Cryptographic and Implementation Properties

对称密码的设计和分析中的许多基本问题仍然没有解决。在这个项目中，我们计划解决其中的一些问题。特别是，我们的目标是寻找具有异常加密和异常实现属性的新向量布尔函数（又名s -box）。虽然我们项目的大部分都是理论性的，但我们希望我们的结果能够显著地影响未来对称原语的设计。主要考虑的是作为所有密码强s盒的统一属性的自等价性。

Many fundamental questions in the design and the analysis of symmetric ciphers are still open. In this project, we plan to tackle some of those questions. In particular, we aim for finding new vectorial Boolean functions (aka S-boxes) with both exceptional cryptographic and exceptional implementation properties. While large parts of our project is of theoretical nature, we expect that our results significantly influence the design of symmetric primitives in the future. The main point of consideration is self equivalence as the unifying property of all cryptographically strong S-boxes.