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Fundamental research in algebraic structures and logic calculus, applications for coding of information
| Programmee: | Institutional Projects (Supreme Council for Science and Technological Development) |
| Code: | 06.411.004F |
| Execution period: | 2006 – 2010 |
| Institutions: | Academy of Sciences of Moldova, Institute of Mathematics and Computer Science |
| Project Leader: | Ratsiu Mefodie |
| Participants: | Ryabukhin Yuri, Belyavskaya Galina, Izbash Vladimir, Shcherbacov Victor, Kuznetsov Eugene, Cebotari Vadim, Aculai Elena |
| Field of application: | Fundamental Sciences - Physics-Mathematics |
| Keywords: | mathematical logic, algebraic system, quasigroup, ring, code, cipher |
Summary
The project's research concerns on known and actual developed domains of modern mathematics, including the ring theory, quasigroups theory, discrete mathematics, algebraic systems theory and mathematical logic. In accordance with the plan:
- the theory of functional constructions in non-classical logics will be developed;
- new results in the domains of universal algebra, mathematical logic, and theory of iterative Post algebras will be obtained;
- binary and n-quasigroups, as well as systems of quasigroups with different properties, in particular, with the properties required for application in coding of information, will be investigated;
- new methods for construction of codes and ciphers based on quasigroups and other systems will be developed.
