FORMATION OF SETS OF FIVE-FOLD GOLD-TYPE SEQUENCES FOR DIGITAL INFORMATION TRANSMISSION SYSTEMS
Annotation
Sets of vectors of decimation indices IS = (id1, id2, …, idn) for the formation of sets of five-fold Gold-type sequences in finite fields GF(5S) (S = 3, 4, 5, 6) based on М- sequences with verification polynomials hМП(x) for periods N = 5S – 1 < 20 000, are presented. The sets include both the well–known decimation indices obtained by Trachtenberg, Helleset, Kumar and satisfying the condition LCD(idi, 5S – 1) = 1 (LCD is the largest common divisor), and the newly found indices that allow the formation of sets of five-fold Gold-type sequences with volumes VS = N + 1 and low levels of periodic auto- and the cross-correlation functions. For the considered values of S, boundary estimates of the maximum value of the correlation function modulus |Rmax| are given.
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