Abstract
A recent result of Schmidt has brought Williamson matrices back into the spotlight. In this article, a new algorithm is introduced to search for hard to find Williamson matrices. We find all nonequivalent Williamson matrices of odd order n up to n = 59. It turns out that there are none for n = 35, 47, 53, 59 and it seems that the Turyn class may be the only infinite class of these matrices.
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Communicated by C.J. Colbourn.
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Holzmann, W.H., Kharaghani, H. & Tayfeh-Rezaie, B. Williamson matrices up to order 59. Des. Codes Cryptogr. 46, 343–352 (2008). https://doi.org/10.1007/s10623-007-9163-5
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DOI: https://doi.org/10.1007/s10623-007-9163-5