English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Conference Paper

Efficient Multiplication of Polynomials on Graphics Hardware

MPS-Authors
/persons/resource/persons44381

Emeliyanenko,  Pavel
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Emeliyanenko, P. (2009). Efficient Multiplication of Polynomials on Graphics Hardware. In Dou, Yong, Gruber, Ralf, Joller, & Josef (Eds.), Advanced Parallel Processing Technologies (pp. 134-149). Berlin: Springer. doi:10.1007/978-3-642-03644-6_11.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-183A-B
Abstract
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The same approach can be used to multiply large integers encoded as polynomials. Our algorithm exploits fused multiply-add capabilities of the graphics hardware. NTT multiplications are executed in parallel for a set of distinct primes followed by reconstruction using the Chinese Remainder theorem (CRT) on the GPU. Our benchmarking experiences show the NTT multiplication performance up to 77 GMul/s. We compared our approach with CPU-based implementations of polynomial and large integer multiplication provided by NTL and GMP libraries.