Generation of DNA Codes from Abelian Groups
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
Date of Award
Spring 2023
Abstract
In this work, we present a circulant-matrix construction for reversible codes derived from Abelian groups. By employing this matrix construction, we show how one can construct reversible codes of over the finite field F4. We apply this in the construction of synthetic DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, the GC-content constraints, free from secondary structures and are complete conflict free. With the generated DNA codes satisfying all these constraints, we get codes that are more chemically active and highly useful for DNA computing, storage, etc.
Advisor
Padmapai Seneviratne
Subject Categories
Applied Mathematics | Physical Sciences and Mathematics
Recommended Citation
Acquah, Emmanuel, "Generation of DNA Codes from Abelian Groups" (2023). Electronic Theses & Dissertations. 1060.
https://digitalcommons.tamuc.edu/etd/1060
