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 1314x10^(12). Finally, a conjecturally complete classification of all irreducible cyclic two-weight codes is obtained.
- ISBN10 3540457976
- ISBN13 9783540457978
- Publish Date 1 September 2006 (first published 23 October 2002)
- Publish Status Active
- Imprint Springer
- Format eBook
- Language English