|
|
|
|
| LEADER |
02822nam a2200469 4500 |
| 001 |
978-3-540-45797-8 |
| 003 |
DE-He213 |
| 005 |
20190619193806.0 |
| 007 |
cr nn 008mamaa |
| 008 |
121227s2002 gw | s |||| 0|eng d |
| 020 |
|
|
|a 9783540457978
|9 978-3-540-45797-8
|
| 024 |
7 |
|
|a 10.1007/b84213
|2 doi
|
| 040 |
|
|
|d GrThAP
|
| 050 |
|
4 |
|a QA164-167.2
|
| 072 |
|
7 |
|a PBV
|2 bicssc
|
| 072 |
|
7 |
|a MAT036000
|2 bisacsh
|
| 072 |
|
7 |
|a PBV
|2 thema
|
| 082 |
0 |
4 |
|a 511.6
|2 23
|
| 100 |
1 |
|
|a Schmidt, Bernhard.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Characters and Cyclotomic Fields in Finite Geometry
|h [electronic resource] /
|c by Bernhard Schmidt.
|
| 250 |
|
|
|a 1st ed. 2002.
|
| 264 |
|
1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2002.
|
| 300 |
|
|
|a VIII, 108 p.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1797
|
| 505 |
0 |
|
|a 1. Introduction: The nature of the problems -- The combinatorial structures in question -- Group rings, characters, Fourier analysis -- Number theoretic tools -- Algebraic-combinatorial tools. 2. The field descent: The fixing theorem -- Prescribed absolute value -- Bounding the absoute value -- The modulus equation and the class group. 3. Exponent bounds: Self-conjugacy exponent bounds -- Field descent exponent bounds. 4. Two-weight irreducible cyclic bounds: A necessary and sufficient condition -- All two-weight irreducible cyclic codes?- Partial proof of Conjecture 4.2.4 -- Two-intersection sets and sub-difference sets.
|
| 520 |
|
|
|a 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.
|
| 650 |
|
0 |
|a Combinatorics.
|
| 650 |
1 |
4 |
|a Combinatorics.
|0 http://scigraph.springernature.com/things/product-market-codes/M29010
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783540442431
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783662183199
|
| 830 |
|
0 |
|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1797
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/b84213
|z Full Text via HEAL-Link
|
| 912 |
|
|
|a ZDB-2-SMA
|
| 912 |
|
|
|a ZDB-2-LNM
|
| 912 |
|
|
|a ZDB-2-BAE
|
| 950 |
|
|
|a Mathematics and Statistics (Springer-11649)
|
