On the Number of 1's Per Cycle of a Binary Random Multicyclic Sequence

Abstract

A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengths m 1 ,. .. , m r. We obtain the limit distribution of the number of 1's per cycle of a multicyclic sequence in the case when the numbers m 1 ,. .. , m r → ∞ and the number of 1's for each sequence has its own limit distribution.