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FORMATION OF PREFERRED PAIRS OF GMB-SEQUENCES WITH THE PERIOD N=511 FOR DIGITAL INFORMATION TRANSFER SYSTEMS

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The order of formation of preferred pairs of Gordon–Mills–Welch sequences (GMWS) is determined based on the analysis of periodic cross-correlation functions (PCCF) of M-sequences (MS) and GMWS with the period N=511. MS and GMWS with the period N=511 are constructed in the finite fields GF(2S) at S = 9. Application of preferred pairs of GMWS in digital information transmission systems (DITS) is determined by their higher structural secrecy as compared to MS, characterized by an equivalent linear complexity (ELC), numerically equal to the degree of verification polynomials used as the base for sequence data formation. The preferred pairs of GMWS are shown to be formed on the basis of preferred pairs of MS, and each MS acts as a basic sequence in the synthesis of the corresponding GMWS. It is supposed that the results on formation of preferred pairs of GMWS with the period of N=511 can be used in noise protected digital information transmission systems with increased requirements for confidentiality and secrecy, as well as in the synthesis of derived systems of pseudorandom sequences that can be formed in extended finite fields.

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