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https://doi.org/10.1007/s10623-004-1703-7
| Title: | The field descent method | Authors: | Leung, K.H. Schmidt, B. |
Keywords: | Characters Difference sets Exponent bound Field descent Groups rings |
Issue Date: | Aug-2005 | Citation: | Leung, K.H., Schmidt, B. (2005-08). The field descent method. Designs, Codes, and Cryptography 36 (2) : 171-188. ScholarBank@NUS Repository. https://doi.org/10.1007/s10623-004-1703-7 | 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 | Source Title: | Designs, Codes, and Cryptography | URI: | http://scholarbank.nus.edu.sg/handle/10635/104297 | ISSN: | 09251022 | DOI: | 10.1007/s10623-004-1703-7 |
| Appears in Collections: | Staff Publications |
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