Main Characters and Cyclotomic Fields in Finite Geometry

Characters and Cyclotomic Fields in Finite Geometry

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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.


Request Code : ZLIBIO227586
Categories:
Year:
2002
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
English
Pages:
108
ISBN 10:
354044243X
ISBN 13:
9783540442431
ISBN:
9783540442431,354044243X
Series:
Lecture Notes in Mathematics 1797
This book is not available due to the complaint of the copyright holder.

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