Characters and Cyclotomic Fields in Finite Geometry
by Bernhard Schmidt
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13<1<4x10 (12). Finally, a conjecturally complete classification of all irreducible cyclic two-weight codes is obtained.
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Difference sets, Cyclotomy, Finite geometries, Mathematics, Combinatorics| Edition | Availability |
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1
Characters and Cyclotomic Fields in Finite Geometry
2004, Springer London, Limited
in English
3540457976 9783540457978
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2
Characters and Cyclotomic Fields in Finite Geometry
December 5, 2002, Springer
Paperback
in English
- 1 edition
354044243X 9783540442431
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"This monograph contributes to the existence theory of combinatorial objects admitting certain types of automorphism groups."
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- Created April 30, 2008
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