Date of Award

January 2016

Degree Type

Open Access Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics and Statistics

First Advisor

Steve Szabo

Department Affiliation

Mathematics and Statistics

Second Advisor

Patrick J. Costello

Department Affiliation

Mathematics and Statistics

Third Advisor

Jeffrey T. Neugebauer

Department Affiliation

Mathematics and Statistics

Abstract

Just like prime numbers are to integers, indecomposable codes are to self dual codes. This paper gives an explicit listing of the first few families of binary self dual codes, up to length 16. Binary self dual codes that are decomposable are given as a composition of indecomposable codes. The indecomposable codes are explicitly listed with generator matrices. The complete classifying process is outlined.

Included in

Mathematics Commons

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