Devising methods to synthesize discrete complex signals with required properties for application in modern information and communication systems

Information and communication systems (ICSs) must comply with increasingly stringent requirements to ensure the reliability speed of information transmission, noise immunity, security. This paper reports methods synthesize discrete complex cryptographic signals, underlying construction which are random (pseudo-random) processes; for synthesizing characteristic signals whose is based on using nature multiplicative group a finite field; results studying properties specified signal systems. It shown that built provide higher synthesis performance than known make it possible algorithmize processes software hardware devices form such signals. The win in time when nonlinear fields devised method is, compared method, period 9,972 elements 1,039.6 times. proposed entire system decimation operation, outperforms difference sets performance. Thus, 2,380 elements, exceeds 28 has also been application could improve efficiency indicators modern ICSs. imitation resistance system, 1,023 four orders magnitude applying linear classes (for example, M-sequences). For (in terms structural secrecy) reported this work 300 times at 8,192, (M-sequences)