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Cofactorization on Graphics Processing Units
Cofactorization Graphics Processing Unit Number Field Sieve
2016/1/9
We show how the cofactorization step, a compute-intensive part of the relation
collection phase of the number field sieve (NFS), can be farmed out to a graphics processing
unit. Our implementation o...
Recently, composite-order bilinear pairing has been shown to be useful in many cryptographic constructions. However, it is time-costly to evaluate. This is because the composite order should be at lea...
Parallel Shortest Lattice Vector Enumeration on Graphics Cards
Lattice reduction ENUM parallelization
2009/12/29
In this paper we present an algorithm for parallel exhaustive
search for short vectors in lattices. This algorithm can be applied to a
wide range of parallel computing systems. To illustrate the alg...
ECM on Graphics Cards
Factorization graphics processing unit modular arithmetic elliptic curves
2009/6/10
This paper reports record-setting performance for the ellipticcurve
method of integer factorization: for example, 926.11 curves/second
for ECM stage 1 with B1 = 8192 for 280-bit integers on a single...
Executing Modular Exponentiation on a Graphics Accelerator
Modular Exponentiation Graphics Accelerator
2008/8/27
Demand in the consumer market for graphics hardware that
accelerates rendering of 3D images has resulted in commodity devices capable
of astonishing levels of performance. These results were achieve...