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Electronic Colloquium on Computational Complexity

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TR00-041 | 19th May 2000
Igor E. Shparlinski

Security of Polynomial Transformations of the Diffie--Hellman Key

D. Boneh and R. Venkatesan have recently proposed an approach to proving
that a reasonably small portions of most significant bits of the
Diffie--Hellman key modulo a prime are as secure the the whole key. Some
further improvements and generalizations have been obtained by
I. M. Gonzales Vasco ... more >>>


TR00-040 | 19th May 2000
Maria Isabel Gonzalez Vasco, Igor E. Shparlinski

Security of the Most Significant Bits of the Shamir Message Passing Scheme

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 ... more >>>


TR00-039 | 25th April 2000
Yevgeniy Dodis

Impossibility of Black-Box Reduction from Non-Adaptively to Adaptively Secure Coin-Flipping

Collective Coin-Flipping is a classical problem where n
computationally unbounded processors are trying to generate a random
bit in a setting where only a single broadcast channel is available
for communication. The protocol is said to be b(n)-resilient if any
adversary that can corrupt up to b(n) players, still cannot ... more >>>



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