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2012 | OriginalPaper | Chapter

A GPU-Based Fine-Grained Parallel Montgomery Multiplication Algorithm

Authors : Tieniu Li, Hongda Li, Ji Xiang

Published in: Recent Advances in Computer Science and Information Engineering

Publisher: Springer Berlin Heidelberg

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GPU CUDA has developed quite a lot recent years, especially in the field of high performance computing, as well as asymmetric cryptographic applications. Much of the involved work has been done based on the coarsegrained method, in which each thread within thread blocks does a complete task process respectively. In this paper, we develop a fine-grained parallel approach for Montgomery multiplications, which is much different with previous work. All the threads within the thread block of GPU cooperate to deal with a complete task process. Experiment shows that the approach performs better when the number of tasks to be dealt with is small, and performs more or less equally effectively in other cases. And the acceleration is well reached compared with CPU-based implementation. Also the idea can be adopted in many acceleration applications.

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Metadata
Title
A GPU-Based Fine-Grained Parallel Montgomery Multiplication Algorithm
Authors
Tieniu Li
Hongda Li
Ji Xiang
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-25766-7_19