Synthesis Results of the Periodic Discretely Coded Sequences with the Parameters Constraints Defined on the Basis of Cyclotomic Classes

Abstract

The results of the binary and ternary sequences synthesis by new methodology using a generalized coding rule over cyclotomic classes are presented. The effectiveness of the proposed methodology is shown by numerous examples. Synthesized new regular coding rules for characteristic and binary discretely coded sequences with the given constraints, imposed on the levels of the sidelobes of the correlation functions, on the peak factor, and on the characteristic sequences ensembles of a defined volume, have been synthesized.