Object of research - process of information exchange and management of the exchange occurring in TCS and networks. The aim of the thesis - improvement in noise immunity and information security protected TCS in terms of external and internal influences on the basis of the theory and practice of information exchange, as well as methods for the synthesis of complex nonlinear discrete signals with the desired properties. Methods: position information theory and error-correcting coding, theory of communication and theory of signal systems, the theory of cryptographic protection of information, probability theory and stochastic processes, methods of analysis and synthesis, the theory of numbers, groups, rings, fields, methods of digital automata theory, mathematical and simulation, probability theory and mathematical statistics. Scientific results: the first time obtained by: 1. the method of synthesis of nonlinear cryptographic discrete complex signals, which uses random (pseudo-random) processes, and allows you to create the necessary signals from the ensemble, structural and correlation properties, thereby improving noise immunity and performance of information security TCS in terms of external and internal influences; 2. The mathematical model of the structure of complex non-linear digital signals in finite fields, defines the relationship of the characters of the multiplicative group of elements of the Galois field and the characters of discrete sequences synthesized using the character elements of the multiplicative group of the field, to determine the values of the indicators of noise immunity (structural secrecy) of discrete signals; 3. The method of implementation of modular arithmetic operations of addition and subtraction, based on the principle of table implementation of arithmetic operations by using a special code table multiplication, can increase the speed of implementation of modular operations of addition and subtraction; 4. The method of implementing arithmetic modular multiplication operation based on the use of the principle of the table through the use of the procedure determine the result of bitwise operations can improve performance performing modular operations modular multiplication. Improved: 1. The method of synthesis of complex nonlinear discrete signals, in which, unlike the prior art, uses a relationship between elements of a finite field and index elements allows to increase the speed of synthesis signals; 2. The method of synthesis of complex nonlinear discrete signals, in which, unlike the known mechanisms used directional (limited) sorting signals for selecting signals that meet certain requirements to improve performance signal synthesis system with the required properties; 3. The method of evaluation of the properties of nonlinear discrete complex signals, which unlike the prior art, applied algebraic properties of finite field elements, thus increasing the process speed of investigating the properties of the signals and thus improve the performance of the synthesis signal with the required properties of the system; 4. The method of synthesis of the entire system of nonlinear discrete signals, in which, unlike the known procedure is used to read and write (for a particular rule) pilot symbols to generate a plurality of signals only relates to the system of signals to improve performance synthesis signals; 5. The method of information communication, which, in contrast to the known, applies a change of conformity: bit message and a complex signal as complex signals, are applied non-linear digital signals with the necessary ensemble, structural and correlation properties that can improve information security performance and noise immunity ; 6. The method of implementing the modular arithmetic operations of addition and subtraction, which, unlike the prior art, based on the use of the principle of the shear ring, by representing the number of residual binary code, by using a cyclic permutation properties annular register content improves execution performance of modular operations. Practical value: 1. Practical use of complex non-linear interference-proof signal (NS) (which is a method of synthesis for the first time obtained in), will improve the functioning of the secrecy of TCS. So, for a period of about 1000 members of the National Assembly structural stealth signal exceeds the figure for the class of linear signals (M-sequence) is more than 30 times. 2. Application of improvements in the synthesis method of emergency system based on directional (limited) sorting signals for the selection of those that have the necessary ensemble and correlation properties, improves the performance of the process of synthesis of signal systems (from 45 to 60 percent). 3. Application of an improved method in the synthesis of non-linear systems signals (NS) in finite fields can increase (due to improved correlation properties) Immunity reception. Thus, when using a non-linear signals as a synchronization sequence (256 elements for a period of the signal) reception immunity NS 4 dB higher than in the case of linear signal classes. The application proposed in the thesis NS synthesis methods will improve the performance of the synthesis signals. Thus, for a period of 10098 nonlinear signal components (the volume of the system is 2,880 signals) based on the gain in efficiency of the synthesis signal using synthesizing signals developed method compared to the conventional method, it is more than 720 times. 4. Methods tabular implementation of modular operations in radix modular using a specific code table view operands obtained in enable, depending on the l-byte (l = 1 - 4, 8) of the machine word, for example, the operation of modular multiplication, from 64 to 4096 times to reduce the execution time of operations compared to using summation method in a positional number system. 5. On the basis of the developed and improved methods of synthesis of the National Assembly of systems and methods for the rapid implementation of modular operations, the algorithms for their implementation, in accordance with which synthesized a class of hardware formation and processing of signals in TCS, which received 14 patents of Ukraine, which confirms the novelty and practical significance of the research in the dissertation work results. 6. obtained computational algorithms and software package that allow you to implement methods for the synthesis of complex nonlinear systems, discrete signals and carry out studies of the properties (correlation, ensemble, structural) above signal systems. 7. In the application of non-linear digital signals with a period of 10,000 items imitoprotection system to three orders of magnitude higher than when using linear digital signals to the three-level correlation function, which are the best in terms of ensemble and correlation properties in this class of signals. The obtained results have found practical implementation and use in the process of building a telecommunications system in the private joint-stock company "Institute of Information Technology" (Kharkov), in accordance with the Contract №0003 / 01-15 on 07/08/15. (Use Act of 28.09.2015.); in carrying out research work on the development of advanced communications and ways of modernization "interference-protected compact shortwave radio stations of low power", which is designed and manufactured in the State Enterprise "Central Design Bureau" Proton "( Kharkov) (implementation of the Act 23.09. 2015) in the performance of research and development work:. "The construction of modeling complex to control the operation of the ship connection", "research and development of methods to ensure the survivability of computer information networks for high-tech facilities" at the Institute for information recording of National Academy of Sciences of Ukraine (Kiev), (Act of introduction from 07.09 2015), in the educational process of the department of security of information systems and technologies Kharkov national University VN Karazin at teaching discipline "information security Management", "Complex protection of the information system: design , implementation and maintenance, "" Regulatory information security ", as evidenced by the use of the Act 21.09. 2015.