Qualifications
Research Interests
My main research interest is finite projective geometry. In particular, I study the interplay between the combinatorial properties of particular sets and their algebraic description.
Moreover, I am interested in the links between finite geometry and other areas. Many open problems in coding theory can be translated into a purely geometrical problem. Similarly, examples of (extremal) graphs often arise from finite geometry.
Recent Publications
- De Boeck M. and Van de Voorde G. (2022) The weight distributions of linear sets in PG(1,q5). Finite Fields and their Applications 82 http://dx.doi.org/10.1016/j.ffa.2022.102034.
- Jena D. and Van de Voorde G. (2022) The geometric field of linearity of linear sets. Designs, Codes, and Cryptography 90(3): 779-799. http://dx.doi.org/10.1007/s10623-022-01011-9.
- Lavrauw M. and Van de Voorde G. (2022) LOCALLY REPAIRABLE CODES WITH HIGH AVAILABILITY BASED ON GENERALISED QUADRANGLES. Advances in Mathematics of Communications 16(1): 73-81. http://dx.doi.org/10.3934/amc.2020099.
- Schillewaert J. and Van de Voorde G. (2022) Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q(2n,q). Finite Fields and their Applications 78 http://dx.doi.org/10.1016/j.ffa.2021.101961.
- Sheekey J., Van De Voorde G. and Voloch JF. (2022) ON THE PRODUCT OF ELEMENTS WITH PRESCRIBEDÂ TRACE. Journal of the Australian Mathematical Society 112(2): 264-288. http://dx.doi.org/10.1017/S1446788720000178.