2013Computer Engineering and Applications JournalOpen access

Fast large integer multiplication based on CUDA

Xu Lian

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Abstract

Concerning the fast large integer multiplication based on fast Fourier transform, a GPU parallel method based on CUDA architecture is proposed. By each steps in the fast large integer multiplication, parallel implementation is given respectively.Then the algorithm is optimized through data compression. Experiments result show that the method improves the efficiency of the algorithm, and can reach more than 18 times speedup ratio with the increase of data scale.

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What this paper is about

Concerning the fast large integer multiplication based on fast Fourier transform, a GPU parallel method based on CUDA architecture is proposed. By each steps in the fast large integer multiplication, parallel implementation is given respectively.Then the algorithm is optimized through data compression. Experiments result show that the method improves the efficiency of the algorithm, and can reach more than 18 times speedup ratio with the increase of data scale.

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Available abstract

Concerning the fast large integer multiplication based on fast Fourier transform, a GPU parallel method based on CUDA architecture is proposed. By each steps in the fast large integer multiplication, parallel implementation is given respectively.Then the algorithm is optimized through data compression. Experiments result show that the method improves the efficiency of the algorithm, and can reach more than 18 times speedup ratio with the increase of data scale.

Key concepts: CUDA, Speedup, Multiplication (music), Parallel computing, Computer science, Integer (computer science), Fast Fourier transform, Computational science

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