TITLE: Applications of matroid theory.
QUESTION [7 upvotes]: I am considering learning about matroid theory. I would like to know what the applications of matroid theory are (if they exist) beforehand.

REPLY [2 votes]: there are many applications from matroid structures and related topics in coding theory that leads to crypsoystem and making good definitions to working with them in related algebraic theorems..  for example relation betwean decomposible codes via matroid decomposition theprems and quasigroup methodes for explain M-codes...