Properties of classes of Boolean functions constructed from several linear recurrences over a residue ring $\mathbb{Z}_{2^n}$

The paper defines a class of Boolean functions constructed from higher bit sequences of several linear recurrences over the ring $\mathbb{Z}_{2^n}.$ To build the higher bit sequences various coordinate sets are used. It is shown that this class consists of functions that are significantly far from the class of all linear functions.