๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Characters and Cyclotomic Fields in Finite Geometry

โœ Scribed by Bernhard Schmidt (auth.)

Book ID
127396683
Publisher
Springer
Year
2002
Tongue
English
Weight
538 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540457976
ISSN
0075-8434

No coin nor oath required. For personal study only.

โœฆ 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.

โœฆ Subjects

Combinatorics

๐Ÿ“œ SIMILAR VOLUMES

Finite Geometry and Character Theory
Finite Geometry and Character Theory
โœ Alexander Pott (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer ๐ŸŒ English โš– 8 MB

Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described usi

Finite Geometry and Character Theory
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โœ Alexander Pott (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described usi