NDLI: A Parallel Algorithm for Dot Product over Word-Size Finite Field Using Floating-Point Arithmetic

Content Provider	IEEE Xplore Digital Library
Author	Jean, J. Graillat, S.
Copyright Year	2010
Abstract	Recently, parallel computation has become necessary to take full advantage of the gains allowed by Moore’s law. Many scientific and engineering applications exhibit data parallelism but might not make full use of it. Some ubiquitous operations such that the dot product can easily be parallelized and then make good use of available hardware, like multi-core or GPU. In this paper, we provide two slightly different algorithms to perform dot product calculations in a finite field using floating-point arithmetic and implement them on the GPU architecture. To do so, we pack input integers into floating-point numbers and exploit the computational capabilities of GPU to their full extent to get the result efficiently. Using error-free transformations, we show that it is possible to reach speedups between 10 or 40 with the parallel versions, with an algorithm using nearly no modular reduction.
Starting Page	80
Ending Page	87
File Size	647871
Page Count	8
File Format	PDF
ISBN	9781424498161
DOI	10.1109/SYNASC.2010.10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-23
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Performance evaluation Finite field Instruction sets Programming GPU GPGPU Graphics processing unit CUDA error-free transformations Computer architecture floating-point arithmetic FMA Kernel
Content Type	Text
Resource Type	Article

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