On the construction of some optimal binary linear codes

• Main Authors: Paz, Skezeer John B., Nocon, Ederlina G.
• Format: text
• Language: English
• Published: Animo Repository 2015
• Subjects: Binary system (Mathematics); Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/5067
• Institution: De La Salle University

Finding an optimal binary linear code is a central problem in coding theory. A binary linear code C = [n k d] is called optimal if there is no linear code with higher minimum distance d given the length n and the dimension k. There are bounds giving limits for the minimum distance d of a linear code...