Date of Award
Open Access Thesis
Master of Arts (MA)
Mathematics and Statistics
Patrick J. Costello
Jeffrey T. Neugebauer
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 2016 Nathan John Russell
Russell, Nathan John, "Self Dual Codes and the Indecomposable Building Blocks" (2016). Online Theses and Dissertations. 421.