Date of Award
January 2016
Degree Type
Open Access Thesis
Document Type
Master 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.
Copyright
Copyright 2016 Nathan John Russell
Recommended Citation
Russell, Nathan John, "Self Dual Codes and the Indecomposable Building Blocks" (2016). Online Theses and Dissertations. 421.
https://encompass.eku.edu/etd/421
