Characters and Cyclotomic Fields in Finite Geometry
1 edition
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Word Count
25,000 words, Guess
Page Count
100 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9057950M
- ISBN-139783540442431
- ISBN-10354044243X
- OCLC Control Number51682774
- OCLC Control Number50520404
and 3 more
- OCLC Control Numbercharacterscyclot00schm
- Library of Congress Control Number2002032397
- Goodreads2222012
Classifications
- LCCQA3 .L28 no. 1797
Description
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.
First Sentence
This monograph contributes to the existence theory of combinatorial objects admitting certain types of automorphism groups.
Subjects
Topics
Other Editions
- Characters and Cyclotomic Fields in Finite Geometry
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