Distribution properties in the complications of sequences generated by several filter generators

O. V. Kamlovskii^a, V. V. Mizerov<sup>b

a</sup> MIREA — Russian Technological University, Moscow
^b Certification Research Center LLC, Moscow

Abstract: We establish estimates for the frequency of appearances of $r$-tuples in the complications of sequences generated by several filtering generators. These results are applied to the output sequences of combination generators. We also consider distribution properties of sequences, generated by encryption algorithm GEA-2.

Key words: finite fields, linear recurrent sequences, linear feedback shift registers, combination generators, filter generators.

UDC: 512.552

Received 21.V.2025

DOI: 10.4213/mvk507