Relative difference sets and circulant weighing matrices

• Main Author: Tan, Ming Ming
• Other Authors: Bernhard Schmidt
• Format: Theses and Dissertations
• Language: English
• Published: 2015
• Subjects: DRNTU::Science::Mathematics::Applied mathematics; DRNTU::Science::Mathematics::Algebra; DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics; DRNTU::Science::Mathematics::Number theory
• Online Access: http://hdl.handle.net/10356/62325
• Institution: Nanyang Technological University

This dissertation is devoted to the study of relative difference sets and circulant weighing matrices using algebraic tools. We are mainly interested in answering the existence problems for these objects: For what values of $v$ and $n$, does a circulant weighing matrix $CW(v,n)$ exist? For what...