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FORMATION OF SETS OF TERNARY KASAMI-LIKE SEQUENCES FOR DIGITAL INFORMATION TRANSMISSION SYSTEMS

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Sets of vectors of decimation indices IS(id1, id2, ..., idn) of ternary M-sequences are presented, on the basis of which small and large sets of Kasami-similar sequences (KSS) with periods N = 3S–1< 20000 are formed in finite fields GF(3S) (S = 4, 6, 8). It is shown that for even values of S, the periodic cross-correlation function of a small set of KSS is three-level with the maximum value of the module of the mutual correlation function |Rmax| = (3S/2+1)). The correlation function of a large set at S=4 is eight-level with |Rmax| = (2·3S/2+1), and at S = 6, 8 is ten-level with |Rmax| = (3S/2+1+1). The values of the volumes of small and large sets of ternary KSS are given.

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