Linear programming bounds in classical association schemes / Charlene Weiß ; [Promotionskommission: Prof. Dr. Kai-Uwe Schmidt (Betreuer und Gutachter), Prof. Dr. Leo Storme (Gutachter), Prof. Dr. Alfred Wassermann (Gutachter), Prof. Dr. Margit Rösler, Prof. Dr. Tobias Weich]. Paderborn, 2023
Content
- Acknowledgments
- Zusammenfassung
- Abstract
- Contents
- Introduction
- Association schemes
- Background on association schemes
- Definition and examples
- The Bose-Mesner algebra
- P- and Q-polynomial association schemes
- Codes and designs in association schemes
- Linear programming
- Classical association schemes
- Codes in polar spaces
- Steiner systems in polar spaces
- Optimal solution of the linear program
- Introduction
- Feasible solution of the dual LP
- Feasible solution of the primal LP
- Affine q-analogs
- Ordinary q-analogs
- The Hermitian matrices and even d
- The Hermitian polar space 2A2n-1 and even d
- Open problems
- Summary
- List of classical association schemes
- Bibliography
- List of figures
- List of tables
- List of symbols
- Index