%0 Journal Article %1 leung05 %A Leung, Ka Hin %A Schmidt, Bernhard %D 2005 %J Designs, Codes and Cryptography %K circulant hadamard matrix %N 2 %P 171--188 %R 10.1007/s10623-004-1703-7 %T The Field Descent Method %V 36 %X 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 ≤ 1022.

@article{leung05, abstract = {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 ≤ 1022.}, added-at = {2016-09-11T14:13:23.000+0200}, author = {Leung, Ka Hin and Schmidt, Bernhard}, biburl = {https://www.bibsonomy.org/bibtex/2f201608ea1a38bf8b2f4f42af02d1fe2/ytyoun}, doi = {10.1007/s10623-004-1703-7}, interhash = {9229747704b92b167eac5f4475f0d88f}, intrahash = {f201608ea1a38bf8b2f4f42af02d1fe2}, issn = {1573-7586}, journal = {Designs, Codes and Cryptography}, keywords = {circulant hadamard matrix}, number = 2, pages = {171--188}, timestamp = {2016-10-01T08:30:52.000+0200}, title = {The Field Descent Method}, volume = 36, year = 2005 }