Paper 2016/705

New construction of single cycle T-function families

Shiyi ZHANG, Yongjuan WANG, and Guangpu GAO

Abstract

The single cycle T-function is a particular permutation function with complex algebraic structures, maximum period and efficient implementation in software and hardware. In this paper, on the basis of existing methods, we present a new construction using a class of single cycle T-functions meeting certain conditions to construct a family of new single cycle T-functions, and we also give the numeration lower bound for the newly constructed single cycle T-functions.