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IEICE TRANSACTIONS on Information

GPU-Accelerated Bulk Execution of Multiple-Length Multiplication with Warp-Synchronous Programming Technique

Takumi HONDA, Yasuaki ITO, Koji NAKANO

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Summary :

In this paper, we present a GPU implementation of bulk multiple-length multiplications. The idea of our GPU implementation is to adopt a warp-synchronous programming technique. We assign each multiple-length multiplication to one warp that consists of 32 threads. In parallel processing using multiple threads, usually, it is costly to synchronize execution of threads and communicate within threads. In warp-synchronous programming technique, however, execution of threads in a warp can be synchronized instruction by instruction without any barrier synchronous operations. Also, inter-thread communication can be performed by warp shuffle functions without accessing shared memory. The experimental results show that our GPU implementation on NVIDIA GeForce GTX 980 attains a speed-up factor of 52 for 1024-bit multiple-length multiplication over the sequential CPU implementation. Moreover, we use this 1024-bit multiple-length multiplication for larger size of bits as a sub-routine. The GPU implementation attains a speed-up factor of 21 for 65536-bit multiple-length multiplication.

Publication
IEICE TRANSACTIONS on Information Vol.E99-D No.12 pp.3004-3012
Publication Date
2016/12/01
Publicized
2016/08/24
Online ISSN
1745-1361
DOI
10.1587/transinf.2016PAP0027
Type of Manuscript
Special Section PAPER (Special Section on Parallel and Distributed Computing and Networking)
Category
GPU computing

Authors

Takumi HONDA
  Hiroshima University
Yasuaki ITO
  Hiroshima University
Koji NAKANO
  Hiroshima University

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