Geodesic
On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo~2
Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 45-53

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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.
Keywords: multi-cyclic generator (MCV-generator), direct sum of groups of residues modulo 2, random multi-cyclic sequence, frequencies of values. 
@article{DM_2017_29_3_a3,
     author = {N. M. Mezhennaya and V. G. Mikhailov},
     title = {On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo~2},
     journal = {Diskretnaya Matematika},
     pages = {45--53},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2017_29_3_a3/}
}
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N. M. Mezhennaya; V. G. Mikhailov. On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo~2. Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 45-53. http://geodesic.mathdoc.fr/item/DM_2017_29_3_a3/