An Excellent Permutation Operator for Cryptographic Applications

Permutations are a core component of almost every cipher. No matter if we consider the DES [5], AES [2] or most of the other encryption algorithms [6] relevant nowadays, we always find permutation operators as essential building blocks inside. In this contribution we will introduce key-dependent permutation operators of provably excellent quality inspired by chaotic Kolmogorov flows [1, 4]. From chaotic systems theory it is known [3] that the class of Kolmogorov flows exhibits the highest degree of instability among all dynamical systems. As will be demonstrated in the sequel, these outstanding properties make them a perfect inspiration for developing a novel class of strong cryptographic permutation operators.