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On the asymptotic existence of cocyclic Hadamard matrices |
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| Authors: | Warwick de Launey |
| Affiliation: | a Center for Communications Research, 4320 Westerra Court, La Jolla, CA 92121, USA b Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, T1K3M4, Canada |
| Abstract: | Let q be an odd natural number. We prove there is a cocyclic Hadamard matrix of order 210+tq whenever  . We also show that if the binary expansion of q contains N ones, then there is a cocyclic Hadamard matrix of order 24N−2q. |
| Keywords: | Binary cocycles Hadamard matrices Asymptotic existence Complex Hadamard matrices Orthogonal designs Complex complementary sequences Relative difference sets Regular extension-group actions on designs |
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