The field descent method.
Ka, Hin Leung.
Date of Issue2005
School of Physical and Mathematical Sciences
We obtain a broadly applicable decomposition of group ring elements into a "subfield part" and a "kernel part". Applications include the verification of Lander's conjecture for all difference sets whose order is a power of a prime >3 and for all McFarland, Spence and Chen/Davis/Jedwab difference sets. We obtain a new general exponent bound for difference sets. We show that there is no circulant Hadamard matrix of order v with 4<v<548, 964, 900 and no Barker sequence of length l with 13 < l < 10^22.
Journal of designs codes and cryptography
Designs, codes and cryptography © copyright 2005 Springer Netherlands. The journal's website is located at http://www.springerlink.com/content/lwt1482721p60t1j.