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Reducing dense matrices over GF(2) to row echelon form on NVIDIA CUDA platform

Authors: Lebedev P.A. Published: 10.06.2013
Published in issue: #1(48)/2013  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: reducing a matrix to row echelon form, method of four russians, NVIDIA CUDA

An approach is described to implementation of the Method of Four Russians for reducing the dense matrices over GF(2) to row echelon form using the NVIDIA CUDA platform. Estimates of the algorithm running time and recommendations on choosing the algorithm parameters are given. It is shown that the developed implementation is 217 .217 most effective in comparison with the existing solutions for matrices of size 2^17X2^17.

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