St. Petersburg Mathematics Seminar
(Leader: )

Thursday, March 21, 2024

Title: Some applications of Number Theory to Information Theory
Speaker: Gicomo Micheli
Time: 5:00pm–6:15pm
Place: DAV 265


In the first part of the talk, we will see how to capture information of polynomial maps over finite fields using group theory. With the developed framework, we will describe how to construct various interesting combinatorial structures, such as complete \(m\)-arcs and codes for distributed storage systems. In the second part of the talk we will use the theory of multiplicative character sums to construct binary linear codes with relative distance ? that have exponential size compared with all previous constructions with the same asymptotic relative distance.