Concatenated codes, matrix-product codes and their schur product

Warning The system is temporarily closed to updates for reporting purpose.

Ulutaş, Tuğçe (2021) Concatenated codes, matrix-product codes and their schur product. [Thesis]

[thumbnail of 10413243.pdf] PDF
10413243.pdf

Download (245kB)

Abstract

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.
Item Type: Thesis
Uncontrolled Keywords: Concatenated codes, matrix-product codes, Schur product. -- Bitiştirme kodları. -- matris çarpım kodları. -- Schur çarpımı.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 12 Nov 2021 15:47
Last Modified: 26 Apr 2022 10:40
URI: https://research.sabanciuniv.edu/id/eprint/42537

Actions (login required)

View Item
View Item