q-Matroids and their Codes
Linear Algebra seminar by Eimear Byrne, University College Dublin
Hosted by Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University
Tuesday 09:00 New York (GMT-4)
Recording available
Providence, RI, USA · In person
Abstract
Eimear Byrne introduces q-matroids and rank-metric codes as vector-space analogues of classical matroids and Hamming-metric codes. The tutorial compares the connections between codes and matroids with those between rank-metric codes and q-matroids. It develops equivalent definitions of q-matroids, relates them to classical definitions, and explains how q-matroid invariants provide invariants for rank-metric codes.
Topics
q-matroidsrank-metric codesvector spaces