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Characters and Cyclotomic Fields in Finite Geometry
Lecture Notes in Mathematics 1797
ISBN/EAN: 9783540442431
Umbreit-Nr.: 1461314
Sprache:
Englisch
Umfang: viii, 108 S.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 23.10.2002
Auflage: 1/2002
- Zusatztext
- 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 Rysers 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.
- Kurztext
- Includes supplementary material: sn.pub/extras