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SETS OF QUINARY KASAMI-LIKE SEQUENCES FOR DIGITAL INFORMATION TRANSMISSION SYSTEMS

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For quinary basic M-sequences (MS) with the period N = 5S – 1 (S = 4, 6), sets of vectors of decimation indices IS,MK = (d1, d2, ..., dn) are presented, on the basis of which small sets of Kasami-like sequences (KLS) with the period N < 20 000 are formed in the finite fields GF(5S). It is shown that for values of S = 4, 6 the periodic cross-correlation function (PCCF) of a small set of KLS is four-level with a maximum value of the PCCF |Rmax|S,MK = (5S/2 + 1). The values of the volumes of small sets of quinary KLS are given.

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