Characters and Cyclotomic Fields in Finite Geometry: 1797 (Lecture Notes in Mathematics) - Softcover

Schmidt, Bernhard

 
9783540442431: Characters and Cyclotomic Fields in Finite Geometry: 1797 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 354044243X ISBN 13: 9783540442431
Verlag: Springer, 2009

Inhaltsangabe

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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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
354044243X
ISBN 13 
9783540442431
Einband
Tapa blanda
Anzahl der Seiten
116
Kontakt zum Hersteller
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