Together with Marco Timpanella (University of Perugia) and Giovanni Zini (University of Modena and Reggio Emilia), the research group organize monthly seminars.
12 February 2026 [4.00 pm - Italian time] - Sascha Kurz (University of Bayreuth, Germany)
Title: Additive codes and their geometric counterparts
Abstract: Geometrically additive codes correspond to multisets of subspaces in a projective space. The minmum distance corresponds to the maximum number of elements contained in a hyperplane. If the replace hyperplane by codimension f subspaces, then the coding equivalent is the generalized f-th Hamming weight of an additive (or linear) code. This opens a large geometric playground. In the talk we give a few constructions and upper bounds for the maximum number n_q(r,h,f;s) of h-spaces in PG(r-1,q) such that at most s elements are contained in each codimension f subspace.