Our talk deals with the linear generation methods of binary and
decimal-valued maximal-length sequences. We show their topological
equivalence, provide necessary and sufficient conditions for that and
find a matrix-homeomorphism whose rows are the consecutive Rademacher
sequences. We investigate a number of maximal linear sequences and give
its formula. We demonstrate different patterns generated from the
sequences, classify them and especially focus on ones whose shapes are
similar to chaotic real-valued maps. It gives us an opportunity to
establish a similarity in the statistical characteristics of both m-bit
decimal integer and chaotic real-valued sequences on the one hand
and design a m-sequence generator with given autocorrelation
properties on the other one.