Please use this identifier to cite or link to this item:
Title: Generalised rank weights of quasi-cyclic codes
Authors: Lim, Enhui
Keywords: Science::Mathematics
Issue Date: 2021
Publisher: Nanyang Technological University
Source: Lim, E. (2021). Generalised rank weights of quasi-cyclic codes. Final Year Project (FYP), Nanyang Technological University, Singapore.
Abstract: Generalised rank weights are a set of parameters characterising the performance of a linear code over Fqm in secure network coding. In this report we study the generalised rank weights of quasi-cyclic codes, a special class of linear codes usually studied for their properties in error correction over the classical Hamming metric. By using the algebraic structure of quasi-cyclic codes, a new upper bound on the generalised rank weights of quasi-cyclic codes is formulated. Additionally, it is shown that the first generalised rank weight of self-dual 1-generator quasi-cyclic codes is almost completely determined by the choice of Fqm.
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)

Files in This Item:
File Description SizeFormat 
MH4900 Final Thesis (Lim Enhui).pdf
  Restricted Access
720.88 kBAdobe PDFView/Open

Page view(s)

Updated on May 19, 2022

Download(s) 50

Updated on May 19, 2022

Google ScholarTM


Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.