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悬而未决。在这个项目中，我们计划解决其中的一些问题。特别地，我们的目标是找到既具有特殊密码学性质又具有特殊实现性质的新的向量布尔函数(又名S盒)。虽然我们的项目有很大一部分是理论性质的，但我们预计我们的结果将对未来对称基元的设计产生重大影响。主要考虑的是自等价作为所有密码强S盒的统一性质。

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.