Codes and Combinatorial Configurations
Home > Funding >
Bulgarian National Science Fund,
Contract No DH 02/2, 13.12.2016
Project title: Codes and Combinatorial Configurations
Abstract of the project:
Algebraic and combinatorial coding theory is a field, which starts its development in Bulgaria approximately
35 years ago with the first studies of acad. Stefan Dodunekov and his students. Due to its importance nowadays this field continues
to branch into numerous directions, fundamental for the development of computer science and communication technologies.
The developments of the field relate to the implementation of basic concepts such as data authenticity, confidentiality,
non-repudiation, persistence, veracity and entirety in both storage and transmission. These implementations are based on
combinatorial structures with specific properties such as optimal codes, optical orthogonal codes, orthogonal arrays,
optimal s-boxes, maximal codes and minimal designs in different metric spaces, combinatorial designs and their resolutions.
The current project proposes new approaches for fundamental research on these configurations by designing innovative techniques
which are vital for the achievement of new knowledge in coding theory in general. These methods are fundamentally mathematical,
but their implementations require effective computations and thus - complex software too. While the considered structures are
diverse, our approach relies on common ideas, which in turn is essential for the coordination and effectiveness of the scientific
group. The project proposal aims at obtaining new bounds for the parameters, new methods for construction and generation, and new
classification strategies.
The scientific group consists of experienced researchers with background in coding theory (mathematicians and computer scientists)
and young researchers who are supposed to bring innovative ideas to the field. The proposed student internships will provide
attractive conditions for starting a scientific career path.
The coordinator of the project is Professor Dr. Sci. Iliya Bouyukliev [iliyab@math.bas.bg or stefka_iliya@yahoo.com].