Abstract

The security of block ciphers solely depends on the S-boxes used in their design. Hence, for a secure block cipher, S-boxes should be chosen very thoughtfully. n-ary quasigroups of different orders and for different values of n are being used to design various cryptographic primitives. In the literature, many algorithms based on the quasigroups have been proposed for the generation of S-boxes of order 4. However, in this article, we propose a general method for the construction of symmetric S-boxes of even order using ternary quasigroups of order 4 with certain properties. These S-boxes give strong resistance against linear, differential, algebraic, and DPA attacks and hence provide good cryptographic properties.

摘要

分组密码的安全性完全取决于其设计中使用的 S-box。因此，对于安全的分组密码，S-box 的选择应该非常慎重。不同阶数和不同n 值的 n元拟群被用于设计各种密码原语。在文献中，已经提出了许多基于拟群的算法来生成 4 阶 S-box。然而，在本文中，我们提出了一种使用三元拟群构造偶数阶对称 S-box 的一般方法具有某些属性的订单 4。这些 S-box 对线性、差分、代数和 DPA 攻击具有很强的抵抗力，因此提供了良好的密码特性。