Self Dual Codes and the Indecomposable Building Blocks

<p>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. </p>

Name thesis:degree_name

Master of Arts (MA)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher

Eastern Kentucky University

Year

2016

Author dc:creator

• Russell, Nathan John

• Binary
• Codes
• Indecomposable
• Self Dual
• Mathematics

Statement dc:rights

• Copyright 2016 Nathan John Russell

Repository record dc:identifier

https://encompass.eku.edu/etd/421

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1419