Algebra Seminar

03/04/2020 - 2:00pm to 3:00pm
745 POT
Speaker(s) / Presenter(s): 
Benjamin Jany, University of Kentucky

Title: Rank metric codes and their associated q-polymatroids.

Abstract: Rank metric codes are subspaces of the F_q vector space consisting of (m x n) matrices to which we associate the rank metric defined by d(M,N)=rk(M-N). The study of algebraic and combinatorial properties of codes has proven useful for linear network coding problems. One of the tools constructed to study those properties are q-polymatroids. We will go over the construction of q-polymatroids for rank metric codes and discuss the q-polymatroid associated to Maximum Rank Distance (MRD) codes.

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