Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/148517
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. https://hdl.handle.net/10356/148517
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.
URI: https://hdl.handle.net/10356/148517
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)

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