Formation of sets of septenary sequences with low cross-correlation level for digital information transmission systems

Sets of vectors of decimation indices I S = ( d 1 , d 2 , …, dn ) for the formation of sets of septenary sequences with a low level of mutual correlation in finite fields GF(7 S ) are presented. Based on the decimation of the symbols of the basic M-sequence, sets of septenary gold-like sequences with a period N = 7 S –1 ( S = 2, 3, 4, 5) are obtained. The values of the periodic cross-correlation function, the power of the generated sets and the number of sets with equivalent properties are given.