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REPORTS > AUTHORS > ALI JUMA:
All reports by Author Ali Juma:

TR07-125 | 11th October 2007
Ali Juma, Valentine Kabanets, Charles Rackoff, Amir Shpilka

The black-box query complexity of polynomial summation

For any given Boolean formula $\phi(x_1,\dots,x_n)$, one can
efficiently construct (using \emph{arithmetization}) a low-degree
polynomial $p(x_1,\dots,x_n)$ that agrees with $\phi$ over all
points in the Boolean cube $\{0,1\}^n$; the constructed polynomial
$p$ can be interpreted as a polynomial over an arbitrary field
$\mathbb{F}$. The problem ... more >>>




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