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 substanti
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Continued on inside back-cover
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
1797
3 Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo
Bernhard Schmidt
Characters and Cyclotomic Fields in Finite Geometry
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Author Bernhard Schmidt Institut für Mathematik Universität Augsburg Universitätsstrasse 14 86135 Augsburg, Germany E-mail: [email protected]
Cataloging-in-Publication Data applied for. Die Deutsche Bibliothek - CIP-Einheitsaufnahme Schmidt, Bernhard: Characters and cyclotomic fields in finite geometry / Bernhard Schmidt. Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Paris ; Tokyo : Springer, 2002 (Lecture notes in mathematics ; 1797) ISBN 3-540-44243-X
Mathematics Subject Classification (2000): 05B10, 05B20, 05B25 ISSN 0075-8434 ISBN 3-540-44243-x Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specif ically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microf ilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the Germa
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