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
Recommended Citation
Foster, Katherine, "Codes from Multidimensional Circulant Graphs" (2022). Electronic Theses & Dissertations. 732.
https://digitalcommons.tamuc.edu/etd/732
