Maria Isabel Gonzalez Vasco, Igor E. Shparlinski

Boneh and Venkatesan have recently proposed a polynomial time

algorithm for recovering a ``hidden'' element $\alpha$ of a

finite field $\F_p$ of $p$ elements from rather short

strings of the most significant bits of the remainder

mo\-du\-lo $p$ of $\alpha t$ for several values of $t$ selected uniformly

at random ...
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Maria Isabel Gonzalez Vasco, Igor E. Shparlinski

Boneh and Venkatesan have recently proposed a polynomial time

algorithm for recovering a ``hidden'' element $\alpha$ of a

finite field $\F_p$ of $p$ elements from rather short

strings of the most significant bits of the remainder

mo\-du\-lo $p$ of $\alpha t$ for several values of $t$ selected

uniformly at ...
more >>>

Bruno Codenotti, Igor E. Shparlinski

We show that for several natural classes of ``structured'' matrices, including symmetric, circulant, Hankel and Toeplitz matrices, approximating the permanent modulo a prime $p$ is as hard as computing the exact value. Results of this kind are well known for the class of arbitrary matrices; however the techniques used do ... more >>>