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CRYPTO
2007
Springer
145views Cryptology» more  CRYPTO 2007»
14 years 1 months ago
Chernoff-Type Direct Product Theorems
Consider a challenge-response protocol where the probability of a correct response is at least α for a legitimate user and at most β < α for an attacker. One example is a CAP...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 7 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 9 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
SIAMDM
2008
113views more  SIAMDM 2008»
13 years 7 months ago
Power Domination in Product Graphs
The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dom...
Paul Dorbec, Michel Mollard, Sandi Klavzar, Simon ...
ASAP
1995
IEEE
145views Hardware» more  ASAP 1995»
13 years 11 months ago
An array processor for inner product computations using a Fermat number ALU
This paper explores an architecture for parallel independent computations of inner products over the direct product ring . The structure is based on the polynomial mapping of the ...
Wenzhe Luo, Graham A. Jullien, Neil M. Wigley, Wil...