The results of developing post-quantum algorithms of McEliece and Niederreiter crypto-code constructs based on LDPC (Low-Density Parity-Check) codes are presented. With the rapid growth of computing capabilities of mobile technologies and the creation of wireless mesh and sensor networks, Internet of Things technologies, and smart technologies on their basis, information security is becoming an urgent problem. At the same time, there is a need to consider security in two circuits, internal (directly within the network infrastructure) and external (cloud technologies). In such conditions, it is necessary to integrate threats to both the internal and external security circuits. This allows you to take into account not only the hybridity and synergy of modern targeted threats, but also the level of significance (degree of secrecy) of information flows and information circulating in both the internal and external security circuits. The concept of building security based on two circuits is proposed. To ensure the security of wireless mobile channels, it is proposed to use McEliece and Niederreiter crypto-code constructs based on LDPC codes, which allows integration into the credibility technology of IEEE 802.15.4, IEEE 802.16 standards. This approach provides the required level of security services (confidentiality, integrity, authenticity) in a full-scale quantum computer. Practical security technologies based on the proposed crypto-code constructs, online IP telephony and the Smart Home system based on the use of an internal server are considered
Ab s t r a c t. The results of statistical analysis of cross-correlation properties of complex signals' ensembles, were obtained due to time interval permutations are presented in this paper. The essence of the method is to apply the division of short videopulse sequences at the level of intervals with low interaction in the time domain with different numbers of pulses. By applying the cross-correlation analysis, the maximum emission values of the side lobes of the crosscorrelation functions are calculated and its total average value is determined. Based on the obtained values, a series is formed in which the first position is occupied by a time interval in which the value of the maximum emissions of the side lobes of the cross-correlation function has an average value. The determination of the following time intervals is based on the analysis of the rating series and the arrangement of values is carried out in accordance with the selected total average value. Thus, a new average range of the maximum emission values of the side lobes of the crosscorrelation function is formed. The average range increases the number of ensembles with satisfactory cross-correlation properties for use in radio communication systems with code division multiplexing, and minimal interaction between signals in the time domain reduces multiple access interference.
In the article, it is described the principles of implementing the method based on quasiorthogonal frequency access on subcarrier frequencies. The key element of quasiorthogonal frequency access on subcarrier frequencies is the using of the individual distribution of frequency subcarriers in different frequency plans of the ensemble in the general frequency band, which allows increasing the subscriber capacity of the radio system significantly. It was developed an algorithm for the formation of the ensemble, taking into account the different values of the width of the subchannels in the corresponding frequency plans. It was graphically represented the form of frequency plans with different bandwidths and the dependence of the maximum emissions of the mutual correlation function of frequency plans, taking into account the number of subcarriers and the width of subchannels. For realization the statistical analysis, it was constructe an imitation model of the radio channel, it were graphically represented the results of statistical analysis of the interrelationship properties of frequency plans, and investigated the correlation properties of complex signals based on QOFDM. Using the quasiorthogonal access on subcarrier frequencies allows increasing the subscriber capacity of the communication system and the rate of information transmission due to the nonlinear distribution of the subcarrier frequencies. K e ywor d s : quasi-orthogonal frequency access on subcarrier frequencie; spectral hole; frequency collisions; bandwidth; frequency plan; an ensemble; the subscriber capacity.
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