ORGANISATION/COMPANYInstitute of Mathematics and Informatics, Bulgarian Academy of Sciences
RESEARCH FIELDMathematics › AlgebraMathematics › Combinatorial analysisMathematics › Geometry
RESEARCHER PROFILEFirst Stage Researcher (R1)Recognised Researcher (R2)
APPLICATION DEADLINE16/07/2022 23:00 - Europe/Athens
LOCATIONBulgaria › Sofia
TYPE OF CONTRACTTemporary
HOURS PER WEEK40
The Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences announces a postdoctoral position in the field of Coding Theory, funded by the Bulgarian Research Program PIKOM (ПИКОМ). Duration of the position is 6 or 12 months, extendable for up to 36 months. Successful candidates will work in the department "Mathematical Foundations of Informatics and be affiliated with the International Center for Mathematical Sciences, Sofia (ICMS-Sofia), which is part of the Institute of Mathematics and Informatics.
Field: Finite geometries and their applications to coding theory
Supervisor: prof. Ivan Landjev
We consider finite geometries over nice structures like finite fields and finite chainrings. Many problems on special sets of points in such geometries (arcs, blocking sets, caps, spreads etc.) translate in a straightforward way into problems about codes. Of special interest are the projective geometries over finite chain rings which are the subject of extensive research in the last two decades. Our research is focused on (but not limited to) the following problems: construction of optimal arcs, blocking sets, caps in PG(n,q), as well as in the projective Hjelmslev geometries, q- and R-analogs of designs, ring analogues of classical results from extremal set theory, construction of codes meeting classical bounds in coding theory, research on interesting families of codes, network codes and their connection with classical geometric structures.
EURAXESS offer ID: 788062
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