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|Title:||The field descent method||Authors:||Bernhard, Schmidt.
Ka, Hin Leung.
|Keywords:||DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics||Issue Date:||2005||Source:||Bernhard, S., & Ka, H. L. (2005). The field descent method. Journal of designs codes and cryptography, 36(2), 171-188.||Series/Report no.:||Journal of designs codes and cryptography||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 < 10^22.||URI:||https://hdl.handle.net/10356/91963
|ISSN:||0925-1022||DOI:||10.1007/s10623-004-1703-7||Rights:||Designs, codes and cryptography © copyright 2005 Springer Netherlands. The journal's website is located at http://www.springerlink.com/content/lwt1482721p60t1j.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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