Concatenated codes, matrix-product codes and their schur product

Official URL: https://risc01.sabanciuniv.edu/record=b2583856_(Table of contents)

The aim of thesis is two-fold. Firstly, we introduce concatenated codes, matrixproduct codes and elaborate on their relation. It is known that a matrix-product code can be seen as a concatenated code. We give a proof of this fact. Conversely, we show how a particular concatenated code can be viewed as a matrix-product code. The second goal is to study the Schur product of certain matrix-product codes, following the recent work of Cascudo et al. The Schur product of linear codes is a topic of interest in the context of code-based cryptography.