Ebook: Characters and Cyclotomic Fields in Finite Geometry
Author: Bernhard Schmidt (auth.)
- Genre: Mathematics // Geometry and Topology
- Tags: Combinatorics
- Series: Lecture Notes in Mathematics 1797
- Year: 2002
- Publisher: Springer-Verlag Berlin Heidelberg
- City: Berlin; New York
- Edition: 1
- Language: English
- pdf
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.
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
Download the book Characters and Cyclotomic Fields in Finite Geometry for free or read online
Continue reading on any device:
Last viewed books
Related books
{related-news}
Comments (0)