Description
Speaker: Prof. Hugues Verdure, Arctic University of Norway
Title: Higher weight spectra for Veronese codes
Day, Date and Time: Thursday, 6th December 2018, 4 pm
Venue: Ramanujan Hall
Abstract: Verones codes are projective Reed-Muller codes of order 2 in P^2. They are obtained by looking at the Veronese map from P^2 to P^5. We already know the higher weight hierarchy of such codes, but in this talk, we will obtain higher weight spectra of these codes, that is, how many subcodes of given dimension and support there are.
We will use the machinery of matroids, resolutions of Stanley-Reisner rings, and generalized weight polynomials to give our result.