Generation of DNA Codes from Dihedral Groups

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Date of Award

Spring 2023

Abstract

In this work, we constructed DNA codes with better lower bounds than the previously known codes. We use Dihedral G-circulant matrices as generator matrices of additive codes over GF(4). The obtained codes satisfy Hamming distance, reverse, reverse complement and the GC-content constraints which are important for DNA computing. In addition, we investigate two additional constraints namely, free from secondary structures and free from consecutive repetitions.

Advisor

Padmapani Seneviratne

Subject Categories

Applied Mathematics | Physical Sciences and Mathematics

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