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» Arithmetic of Generalized Jacobians
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EUROCRYPT
2012
Springer
11 years 10 months ago
Fully Homomorphic Encryption with Polylog Overhead
We show that homomorphic evaluation of (wide enough) arithmetic circuits can be accomplished with only polylogarithmic overhead. Namely, we present a construction of fully homomorp...
Craig Gentry, Shai Halevi, Nigel P. Smart
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 2 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
DAC
2004
ACM
14 years 8 months ago
Multiple constant multiplication by time-multiplexed mapping of addition chains
An important primitive in the hardware implementations of linear DSP transforms is a circuit that can multiply an input value by one of several different preset constants. We prop...
James C. Hoe, Markus Püschel, Peter Tummeltsh...
ICPP
2008
IEEE
14 years 2 months ago
Challenges and Advances in Parallel Sparse Matrix-Matrix Multiplication
We identify the challenges that are special to parallel sparse matrix-matrix multiplication (PSpGEMM). We show that sparse algorithms are not as scalable as their dense counterpar...
Aydin Buluç, John R. Gilbert
FROCOS
2007
Springer
14 years 2 months ago
Noetherianity and Combination Problems
In abstract algebra, a structure is said to be Noetherian if it does not admit infinite strictly ascending chains of congruences. In this paper, we adapt this notion to first-ord...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...