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The development of computer technology has determined the vector for the expansion of services based on the Internet and "G" technologies. The main requirements for modern services in the banking sector are security and reliability. At the same time, security is considered not only as ensuring the confidentiality and integrity of transactions, but also their authenticity. However, in the post-quantum period, US NIST specialists question the durability of modern means of providing basic security services based on symmetric and asymmetric cryptography algorithms. The increase in computing resources allows attackers to use modern threats in combination. Thus, there is a need to search for new and/or modify known algorithms for generating MAC (message authentication codes). In addition, the growth of services increases the amount of information that needs to be authenticated. Among the well-known hash algorithms, the hash functions of universal hashing are distinguished, which allow initially determining the number of collisions and their uniform distribution over the entire set of hash codes. Possibilities of modifying the cascade hashing algorithm UMAC (message authentication code based on universal hashing, universal MAC) based on the use of McEliece crypto-code construction on algebrogeometric (elliptic codes (EC), modified elliptic codes (MEC) and damaged codes (DC). This approach allows preserving the uniqueness property, in contrast to the classical UMAC scheme based on a block symmetric cipher (AES). The presented algorithms for evaluating the properties of universality and strict universality of hash codes make it possible to evaluate the security of the proposed hashing constructs based on universal hash functions, taking into account the preservation of the universality property

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The military aggression carried out by the russian federation against Ukraine for more than eight years has significantly increased the volume of military development by the military-industrial complex of Ukraine. Considering the special importance and danger of the developed samples of weapons and military equipment, the issue of their high-quality and timely testing is crucial. The flow of samples of weapons and military equipment, which are sent to the testing organization for research, may have heterogeneity in the importance of samples for immediate mass production and supply to the troops. The priority that arises in the flow of tested samples can negatively affect the timeliness of testing non-priority samples and the throughput of the testing organization as a whole, which,in turn, forces the search for methods of effective organizational management of the testing process.The article deals with the development of a test system model. To model and analyze the processes that affect the performance of the testing organization, a multi-phase system of mass service is used, in which the main stages of the test are represented by phases. Determined with the help of statistical analysis of the incoming flow of samples arriving for testing and the processes of servicing these samples, it was possible to model the main stages of the test according to the scheme of Markov processes. The model introduces the concept of the average number of the test team, which makes it possible to analyze the effectiveness of the distribution of personnel, which in the conditions of mass tests is a limited resource of the organization. For various stages of testing, the conditions for the receipt of priority samples, the features of maintenance of priority samples and their impact on the performance ofthe testing system are formalized. The main analytical ratios that determine the successful functioning of the test system are derived.It is assumed that the implementation of the model is possible as part of an automated test support information system for analyzing the performance of the test process and developing organizational solutions aimed at optimizing the functioning modes

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