Title

Codes from Multidimensional Circulant Graphs

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Date of Award

Spring 2022

Abstract

For this thesis we studied multidimensional circulant graphs. We used MAGMA which is a computational algebra system. First, we looked at some properties of multidimensional graphs. Then we looked at perfect codes and characteristics of sets which form perfect codes for multidimensional circulant graphs. We used cosets to generate perfect codes.

Advisor

Padmapani Seneviratne

Subject Categories

Applied Mathematics | Mathematics | Physical Sciences and Mathematics

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