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PREFERRED PAIRS OF GMW SEQUENCES WITH PERIOD N=1023 FOR DIGITAL INFORMATION TRANSMISSION SYSTEMS

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Based on an algorithm for the formation of preferred pairs (PP) of Gordon — Mills — Welch (GMWP) sequences, a complete list is obtained of PP GMWP with a period N=1023, which have a five-level periodic cross-correlation function and different values of equivalent linear complexity, which acts as an indicator of structural secrecy pseudo-random sequences. The peculiarity of HMWR formation with period N=1023 is that for each basic M-sequences (MS), five HMWRs can be synthesized, while for periods N=63, N=255, N=511, only one HMWR can be constructed for each MS. There are 60 primitive polynomials in the GF(210) field, each of which can form ten PP MS. Structural secrecy of the GMWP with a period N=1023 is 2, 4, 8 times higher than the similar characteristic of the MS, which determines the preference for the use of the GMWP in digital information transmission systems, which are subject to increased requirements for noise immunity, confidentiality and secrecy.

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