Characters and Cyclotomic Fields in Finite Geometry

Bernhard Schmidt

ISBN 10: 354044243X / ISBN 13: 9783540442431

Published by Springer Berlin Heidelberg Okt 2002, 2002

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 116 pp. Englisch.

Seller Inventory # 9783540442431

Bibliographic Details

• Title: Characters and Cyclotomic Fields in Finite Geometry
• Publisher: Springer Berlin Heidelberg Okt 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 354044243X
• ISBN 13: 9783540442431
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 7D millimeters 235 millimeters width by 155 millimeters height by 7 millimeters depth
• Weight: 189 grams

About this title

Synopsis

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.