On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo 2.

The formula for the frequencies of symbols in the output sequence of multi-cyclic generator over the direct sum of residue groups modulo 2 is obtained. In the case when cells of registers contain independent random values with the uniform distribution the limit joint distribution of the frequencies (as lengths of the registers tend to infinity) is obtained. [ABSTRACT FROM AUTHOR]