Scientific school of Doctor of Technical Sciences, Professor V.V. Riznyk

Prof. V.V. Riznyk's scientific field: "Vector Information and Infocommunication Technologies." His school conducts fundamental and applied research in the field of information technology and computing. This research is based on the law of harmonious structuring of complementary ensembles of rotational symmetry-asymmetry, the discovery of which made it possible to improve the quality indicators of technical devices and systems, such as reliability, accuracy, speed, operating range, and resolution, thanks to the optimal distribution of structural elements in space-time using combinatorial configurations of the "ideal circular measure" type. Unlike the "Golomb rulers" proposed by Prof. S. V. Golomb of the University of Southern California, "ideal circular measures" are almost twice as superior to the aforementioned rulers in terms of combinatorial diversity, which he personally confirmed during the implementation of a joint project between APP and the University of Southern California on the topic "Research and Applications of Combinatorial Configurations for Innovative Devices and Process Engineering" (1996). The study of the physical and mathematical laws of "ideal circular measures" and the use of their exceptional properties for the optimal solution of a wide range of scientific and technical problems is reflected in many inventions, including a memory device (1972), an optimal monolithic code (1984), a method for converting pulse signals into code and a device for its implementation (1986), a method for converting signals (2020), and other inventions. These designs and their models – "ideal ring bundles" (IRB) – are already being used in control and measurement technology, information and computer technologies, electrical engineering and radio physics, cybernetics and logistics.

Students of the Department of Automated Control Systems have won numerous awards for scientific work carried out at the scientific school, in particular:

  • O. Ya. Riznyk – first degree diploma in 1982/83 and a prize (100 rubles) for the best scientific work "Research on methods of synthesis of control systems on ring combinatorial structures" ("Golden Ring"), Donetsk (24 January 1984).
  • V. O. Povshuk – third place in the Republican competition of student works (fourth year), Donetsk (06.08.1985).
  • I. R. Zakharchuk – Certificate of Honour in the section “Computing Technology, Technical Cybernetics, Microprocessor Technology, Informatics and CAD” from the Competition Commission of the All-Union Competition for the best scientific work: "Optimisation of systems based on the principle of ideal relations" No. 293 ("Combitron"), Tbilisi (1987).

Candidate dissertations defended by representatives of the scientific school:

  • O. Ya. Riznyk: "Modelling and synthesis of combinatorial configurations with non-equidistant structure" (1997);
  • Ya. P. Kis: "Modelling and synthesis of noise-resistant codes using ideal ring bundles" (1998);
  • M. T. Solomko: "Synthesis of combinatorial configurations at the block diagram level using numerical bundles" (2000);
  • O. V. Bandyrska: Standardisation of error-free series using the method of optimal structural proportions (2000);
  • O. T. Velyka: “Algebraic-graph models of numerical code synthesis with ring structure” (2006).

Candidates of Technical Sciences Associate Professor O. Ya. Riznyk and M. T. Solomko are completing their dissertations to obtain the degree of Doctor of Technical Sciences.

Research work carried out in the scientific field of the school:

  1. Development of software tools for vector data processing and information protection based on combinatorial optimisation. State registration number 0113U001360 (V. V. Riznyk). Report on R&D/V. V. Riznyk, Yu. V. Tsymbal, I. G. Tsmots, O. Ya. Riznyk, D. D. Zerbyno, R. S. Martyshyn, D. Yu. Skrybailo- Leskiv, B. A. Demida, O. V. Skorokhoda, U. V. Polishchuk, B. I. Balych, R. V. Sydorenko. Lviv: APP, 2018. 86 p.
  2. Development of the theory of multidimensional combinatorial configurations based on the study of symmetric and asymmetric system objects. Code KPCV 2201020 "Fundamental research in higher education institutions and scientific institutions", 2013–2015 (V. V. Riznyk).
  3. Development of the theory of system harmony for the creation of information technologies with improved technical characteristics. Code KPCV 2201020. "Fundamental research in higher education institutions and scientific institutions" for 2011–2013 (V. V. Riznyk).
  4. Development of highly efficient information technologies based on the use of combinatorial properties of non-equidistant structures. Code KPCV 2201040 "Applied research and development in the areas of scientific and technical activities of higher education institutions and scientific institutions" for 2011–2013.
  5. Creation of software tools for highly reliable information and communication technologies based on multi-vector non-equidistant structures. Request to participate in a competition for scientific and technical projects to develop the most important new technologies under a state order for 2011–2012. Research of non-equidistant structures using the method of combinatorial optimisation. State registration number 0107U010236.
  6. Research into the phenomenon of "perfect" ordered distribution of elements of the structure of mathematical and technical systems, natural objects for practical application. Project No. 1.4/466. Request for funding from the State Fund for Fundamental Research for 1997 (V. V. Riznyk).
  7. Development of scientific principles for the creation of new technologies, devices and machines based on the study of the properties of one- and multidimensional combinatorial configurations (Galois code). Request for funding for 1992–1994. Synthesis of models of optimal phased non-equidistant antenna arrays, 1994.

Contract work:

  1. Optimisation of the construction of non-equidistant structures, contract No. 4904, 1989–1990 (V. V. Riznyk).
  2. Optimisation of the construction of antenna array structures, contract No. 7/22, ANUSSR programme with ASND, 1989–1991 (V. V. Riznyk).
  3. Cooperative Grant Programme of the U.S. Civilian Research and Development Foundation (Prof. S. Golomb, University of Southern California, USA), 1996.

The problem is becoming increasingly important in connection with the current development of the latest vector information technologies, which use the results of research into the unique properties of vector combinatorial configurations as mathematical models for creating promising information and communication technologies with minimised or favourably balanced information and communication costs.- to vector combinatorial configurations as mathematical models for creating promising information and communication technologies based on them with minimised or favourably balanced information redundancy of systems. Reducing information redundancy usually makes it possible to simplify the overall structure of the information system and use fundamentally new multidimensional models of generalised optimised systems, which opens up prospects for the creation of computing and information technology tools based on vector computer technologies in the near future. This will make it possible to improve information and communication technologies in terms of transmission speed, noise immunity, security reliability, resolution, and other important characteristics of hardware and software for information technologies, computing, and telecommunications systems.

The development of the school's scientific direction is based on the results of theoretical and applied research of multidimensional models of information systems, which enable the formation of multidimensional arrays of vector data in the form of combinations of a limited number of basic vectors (indexed categories and attributes), which makes it possible to optimise the formation, encoding, and transmission of multidimensional data arrays while conserving energy and communication resources during the processing of multidimensional data arrays, thereby improving the quality indicators of vector information technologies in terms of the reliability of high-speed processing of large data arrays and protection of information from unauthorised access. The scientific direction is based on previous developments of models of multi-element systems with a non-equidistant structure and their practical application in communication technologies, in particular for the synthesis of two-dimensional antenna arrays with high resolution. This opens up the prospect of transferring traditional methods of information processing using one-dimensional code signals to a qualitatively higher level of multidimensional vector information technologies as an alternative to quantum ones.

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