New restrictions on possible orders of circulant Hadamard matrices
We obtain several new number theoretic results which improve the field descent method. We use these results to rule out many of the known open cases of the circulant Hadamard matrix conjecture. In particular, the only known open case of the Barker sequence conjecture is settled.
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2013
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sg-ntu-dr.10356-976942020-03-07T12:31:32Z New restrictions on possible orders of circulant Hadamard matrices Leung, Ka Hin Schmidt, Bernhard School of Physical and Mathematical Sciences We obtain several new number theoretic results which improve the field descent method. We use these results to rule out many of the known open cases of the circulant Hadamard matrix conjecture. In particular, the only known open case of the Barker sequence conjecture is settled. 2013-08-23T03:53:43Z 2019-12-06T19:45:33Z 2013-08-23T03:53:43Z 2019-12-06T19:45:33Z 2012 2012 Journal Article Leung, K. H.,& Schmidt, B. (2012). New restrictions on possible orders of circulant Hadamard matrices. Designs, Codes and Cryptography, 64(1-2), 143-151. https://hdl.handle.net/10356/97694 http://hdl.handle.net/10220/13205 10.1007/s10623-011-9493-1 en Designs, codes and cryptography |
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English |
| description |
We obtain several new number theoretic results which improve the field descent method. We use these results to rule out many of the known open cases of the circulant Hadamard matrix conjecture. In particular, the only known open case of the Barker sequence conjecture is settled. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Leung, Ka Hin Schmidt, Bernhard |
| format |
Article |
| author |
Leung, Ka Hin Schmidt, Bernhard |
| spellingShingle |
Leung, Ka Hin Schmidt, Bernhard New restrictions on possible orders of circulant Hadamard matrices |
| author_sort |
Leung, Ka Hin |
| title |
New restrictions on possible orders of circulant Hadamard matrices |
| title_short |
New restrictions on possible orders of circulant Hadamard matrices |
| title_full |
New restrictions on possible orders of circulant Hadamard matrices |
| title_fullStr |
New restrictions on possible orders of circulant Hadamard matrices |
| title_full_unstemmed |
New restrictions on possible orders of circulant Hadamard matrices |
| title_sort |
new restrictions on possible orders of circulant hadamard matrices |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/97694 http://hdl.handle.net/10220/13205 |
| _version_ |
1681048128820609024 |