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Study Characters and Cyclotomic Fields in Finite Geometry

Posted on 2010-03-16




Name:Study Characters and Cyclotomic Fields in Finite Geometry
ASIN/ISBN:354044243X
Language:English
File size:1.2 Mb
Publish Date: 2002-12-05
ISBN: 354044243X
Pages: 100 pages
File Type: PDF
File Size: 1,2 MB
Other Info: Springer
   Study Characters and Cyclotomic Fields in Finite Geometry

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Bernhard Schmidt "Characters and Cyclotomic Fields in Finite Geometry"

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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