Simeon Ball

Finite Geometry and Combinatorial Applications

• Gebundenes Buch

Produktbeschreibung

A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 298
• Erscheinungstermin: 21. Oktober 2015
• Englisch
• Abmessung: 235mm x 157mm x 22mm
• Gewicht: 637g
• ISBN-13: 9781107107991
• ISBN-10: 1107107997
• Artikelnr.: 42548544

Autorenporträt

Simeon Ball is a senior lecturer in the Department of Applied Mathematics IV at Universitat Politècnica de Catalunya, Barcelona. He has published over 50 articles and been awarded various prestigious grants, including the Advanced Research Fellowship from EPSRC in the UK and the Ramon y Cajal grant in Spain. In 2012 he proved the MDS conjecture for prime fields, which conjectures that all linear codes over prime fields that meet the Singleton bound are short. This is one of the oldest conjectures in the theory of error-correcting codes.

Inhaltsangabe

1. Fields
2. Vector spaces
3. Forms
4. Geometries
5. Combinatorial applications
6. The forbidden subgraph problem
7. MDS codes
Appendix A. Solutions to the exercises
Appendix B. Additional proofs
Appendix C. Notes and references
References
Index.