Characters and Cyclotomic Fields in Finite Geometry PDF
by Bernhard Schmidt
Part of the Lecture Notes in Mathematics series
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Description
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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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:13/10/2004
- Category:
- ISBN:9783540457978
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:13/10/2004
- Category:
- ISBN:9783540457978
