Description: The paper studies the main provisions of the algebraic theory of noise-immune coding and its relation to signal theory. An approach that allows using the methods of algebraic coding to generate sequences of pseudorandom discrete signals with im-proved autocorrelation properties is substantiated. Theorems that establish the dependence between the side lobe values of the auto and cross-correlation function of the generated discrete signals are formulated and proved. It is shown that the periodic correlation functions of the sequences formed by the code words of equidistant codes have a two-level structure, and the gener-ated signal assemblies have improved autocorrelation properties.
Keywords: cross-correlation function, autocorrelation properties, normalized correlation function, autocorrelation function, autocorrelation