Characters and Cyclotomic Fields in Finite Geometry (2002) (Lecture Notes in Mathematics #1797)
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- 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.
- Copyright:
- 2002
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783540457978
- Related ISBNs:
- 9783540442431
- Publisher:
- Springer Berlin Heidelberg
- Date of Addition:
- 08/25/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.