Generators of Pseudorandom Sequence with Multilevel Function of Correlation

Abstract

The algebraic approach to the formation of large ensembles of discrete signals with a multilevel correlation function, which is based on the section of cyclic orbits of group codes, is investigated. The number and magnitude of the side lobe levels of the correlation function of the sequences being formed, as well as the power of the ensemble of signals, are determined by the distance and structural properties of the polynomial rings over the final fields. Proposals are being developed for the hardware implementation of discrete-signal-generating devices with a multi-level correlation function using a chain of shift registers with linear feedback.