Chrestenson spectrum and auto-correlation function of inverse permutations of quick trickle permutations
Jue Wang, Zhengchao Li, Yaqun Zhao · Wuhan University Journal of Natural Sciences · 2008
In this paper, a sufficient and necessary condition of quick trickle permutations is given from the point of inverse permutations. The bridge is built between quick trickle permutations and m -value logic functions. By the methods of the Chrestenson spectrum of m -value logic functions and the auto-correlation function of m -value logic functions to investigate the Chrestenson spectral characteristics and the auto-correlation function characteristics of inverse permutations of quick trickle permutations, a determinant arithmetic of quick trickle permutations is given. Using the results, it becomes easy to judge that a permutation is a quick trickle permutation or not by using computer. This gives a new pathway to study constructions and enumerations of quick trickle permutations.