Simulation modelling is carried out, which allows adequate describing the traffic of multiservice networks with the commutation of packets with the characteristic of burstiness. One of the most effective methods for studying the traffic of telecommunications systems is computer simulation modelling. By using the theory of queuing systems (QS), computer simulation modelling of packet flows (traffic) in modern multi-service networks is performed as a random self-similar process. Distribution laws such as exponential, Poisson and normal-logarithmic distributions, Pareto and Weibull distributions have been considered. The distribution of time intervals between arrivals of packages and the service duration of service of packages at different system loads has been studied. The research results show that the distribution function of time intervals between packet arrivals and the service duration of packages is in good agreement with the Pareto and Weibull distributions, but in most cases the Pareto distribution prevails. The queuing systems with the queues M/Pa/1 and Pa/M/1 has been studied, and the fractality of the intervals of requests arriving have been compared by the properties of the estimates of the system load and the service duration. It has been found out that in the system Pa/M/1, with the parameter of the form a> 2, the fractality of the intervals of requests arriving does not affect the average waiting time and load factor. However, when 𝑎≤2, as in the M/Pa/1 system, both considered statistical estimates differ. The application of adequate mathematical models of traffic allows to correctly assess the characteristics of the quality of service (QoS) of the network.
Subject of research is the modification of the Niederreiter crypto-code construction on non-binary codes. The purpose of this work is to develop a mathematical model of a modified Niederreiter crypto-code structure using algebrogeometric block codes with a shortening of the information parcel. The tasks to be solved are: to formalize the procedures for the formation of codograms and their further decoding; develop a mathematical model of the Niederreiter crypto-code structure modified by shortening the information parcel and fixing the admissible positional vectors of the plaintext transformation based on equilibrium coding. The following results were obtained. Studies of the Niederreiter crypto-code structures in MES revealed the main reason for the impossibility of the practical implementation of decoding algorithms when using non-binary codes in the classical scheme. It has been established that it is necessary to fix a subset of plaintext for which the error localization procedure, with the X, P and D (private key) masking matrices selected by the sender, cannot be performed. With its help, we need to "weed out" the error vector sets that do not allow using the classical version of decoding information on the receiving side when using the classical Niederreiter scheme on m-th codes. When constructing a mathematical model, the identified feature was considered. As a result, a mathematical model of the Niederreiter cryptocode structure modified by shortening the information package and fixing admissible positional vectors of the plaintext transformation based on equilibrium coding is obtained. Conclusion. The scientific novelty of the obtained results is as follows: the proposed modified mathematical model of the Niederreiter crypto-code structure ensures its practical implementation. Reducing the field power when building a classic Niederreiter scheme reduces the amount of data transferred by shortening the error vector before generating the syndrome on the sender side and, accordingly, the energy costs of its implementation; The use of the quantum-stable and promising Niederreiter crypto-code construction has been further developed, the identified feature and the proposed modification ensure its competitiveness. K e ywor d s : modified Niederreiter crypto-code structure; modified shortened elliptic-curve codes; equilibrium coding; information secrecy.
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