Characters and Cyclotomic Fields in Finite Geometry
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 Ma...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1797 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Characters and cyclotomic fields in finite geometry, Bernhard Schmidt, 2002, Berlin, Springer, 1 vol. (VIII-100 p.), Lecture notes in mathematics, 3-540-44243-X • Characters and Cyclotomic Fields in Finite Geometry, Texte imprimé, 9783662183199 |
Table des matières:
- 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.