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{\bf Yury J. Ionin}\medskip\noindent
{\bf New symmetric designs from regular Hadamard matrices}
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For every positive integer $m$, we construct a symmetric
$(v,k,\lambda )$-design with parameters $v={{h((2h-1)^{2m}-1)}\over{h-1}}$,
$k=h(2h-1)^{2m-1}$, and $\lambda =h(h-1)(2h-1)^{2m-2}$, where
$h=\pm 3\cdot 2^d$ and $|2h-1|$ is a prime power.  For $m\geq 2$ and
$d\geq 1$, these parameter values were previously undecided.  The tools
used in the construction are balanced generalized weighing matrices
and regular Hadamard matrices of order $9\cdot 4^d$.

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