Together with Marco Timpanella (University of Perugia) and Giovanni Zini (University of Modena and Reggio Emilia), the research group organize monthly seminars.
18 December 2025 [2.00 pm - Italian time] - Yue Zhou (National University of Defense Technology, China)
Title: On the construction of MDS self-dual codes and related graphs
Abstract: The construction of MDS self-dual codes over F_q of various lengths n is an interesting topic in coding theory, with more than 25 papers published on the subject in the past decade. Most existing constructions rely on combinations of cosets of subgroups within the multiplicative group of F_q. In this talk, we offer a new perspective by interpreting MDS self-dual codes over F_q as induced sub(di)graphs of the Paley graphs (or Paley tournaments), characterized by the property that every vertex has even degree. Leveraging classical results on quasi-random graphs, induced even/odd subgraphs, and character sums over finite fields, we derive new constructions
and enumeration results for such codes.