On the Functions on Linear Spaces

In this paper are considered the authors results that have been received in the last few years and are devoted to the research of functions mapping a finite linear space to itself. The characteristics of functions representing interest from the point of view of cryptography, geometrical properties of functions are resulted.This research is supported by RFFI (grants 99-01-00929 and 99-01-00941).Mathematics Subject Classifications (2000) 51E15, 51E20.