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  3. Characters and Cyclotomic Fields in Finite Geometry
Characters and Cyclotomic Fields in Finite Geometry (e-bog) af Schmidt, Bernhard
Schmidt, Bernhard (forfatter)

Characters and Cyclotomic Fields in Finite Geometry e-bog

302,96 DKK (inkl. moms 378,70 DKK)
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 sequenc...
E-bog 302,96 DKK
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Forfattere Schmidt, Bernhard (forfatter)
Forlag Springer
Udgivet 13 oktober 2004
Genrer PBD
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783540457978

Beskrivelse

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.