Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2010

Committee Chair or Co-Chairs

Debra J. Knisley

Committee Members

Michel Helfgott, Jeff R. Knisley

Abstract

In this work, we study error correcting codes and generalize the concepts with a view toward a novel application in the study of DNA sequences. The author investigates the possibility that an error correcting linear code could be included in the human genome through application and research. The author finds that while it is an accepted hypothesis that it is reasonable that some kind of error correcting code is used in DNA, no one has actually been able to identify one. The author uses the application to illustrate how the subject of coding theory can provide a teaching enrichment activity for undergraduate mathematics.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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