Random network coding and designs over Fq

About a year ago, I asked Prof. Dr. Leo Storme for a possible subject for my mas-ter dissertation, preferably in my favourite mathematical domains, i.e. coding theory and geometry. He suggested me among others to consider random network coding, a recently established powerful concept for information transmission in a network, with widespread applications for communication networks like the Internet, wireless commu-nication systems and cloud computing. In the recent award-winning article of Kötter and Kschischang ([28]), the network is viewed as a mechanism of transmitting not pack-ets or vectors but rather the subspace that these packets span, which leads to a new kind of coding theory employing subspace codes. After reading this article I was very enthusiastic to look into this subject in more depth, to explore the links between new and traditional concepts in different domains and to try to describe this in my thesis, which can be seen as an introduction to the mathematical part of random network coding and designs over Fq. Furthermore, I like to mention COST Action IC1104 (see [9] or [10]), which sets up a European research network about random network coding and designs over Fq and it