Publication detail

Impact of Optimization and Parallelism on Factorization Speed of SIQS

BREITENBACHER, D. HOMOLIAK, I. JAROŠ, J. HANÁČEK, P.

Original Title

Impact of Optimization and Parallelism on Factorization Speed of SIQS

Type

conference paper

Language

English

Original Abstract

This paper examines optimization possibilities of Self-Initialization Quadratic Sieve (SIQS), which is enhanced version of Quadratic Sieve factorization method.SIQS is considered the second fastest factorization method at all and the fastest one for numbers shorter than 100 decimal digits, respectively.Although, SIQS is the fastest method up to 100 decimal digits, it cannot be effectively utilized to work in polynomial time.Therefore, it is desirable to look for options how to speed up the method as much as possible.Two feasible ways of achieving it are code optimization and parallelism.Both of them are utilized in this paper.The goal of this paper is to show how it is possible to take advantage of parallelism in SIQS as well as reach a large speed-up thanks to detailed source code analysis with optimization.Our implementation process consists of two phases.In the first phase, the complete algorithm is implemented in the simplest way which does not consider any requirements for execution speed.The solution from the first phase serves as the reference implementation for further experiments.An improvement of factorization speed is performed in the second phase of the SIQS implementation, where we use the method of iterative modifications in order to examine contribution of each proposed step.The final optimized version of the SIQS implementation has achieved over 200x speed-up.

Keywords

Factorization, SIQS, Parallelism, OpenMP, Profiling, RSA cryptanalysis

Authors

BREITENBACHER, D.; HOMOLIAK, I.; JAROŠ, J.; HANÁČEK, P.

Released

26. 8. 2016

Publisher

The International Institute of Informatics and Systemics

Location

Orlando

ISBN

978-1-941763-47-6

Book

Proceedings of The 20th World Multi-Conference on Systemics, Cybernetics and Informatics

Edition

WMSCI 2016 - 20th World Multi-Conference on Systemics, Cybernetics and Informatics, Proceedings

ISBN

1690-4524

Periodical

Journal on Systemics, Cybernetics and Informatics

Year of study

1

Number

3

State

United States of America

Pages from

55

Pages to

62

Pages count

8

URL

http://www.iiisci.org/Journal/CV$/sci/pdfs/SA559BN16.pdf

BibTex

@inproceedings{BUT130912,
  author="Dominik {Breitenbacher} and Ivan {Homoliak} and Jiří {Jaroš} and Petr {Hanáček}",
  title="Impact of Optimization and Parallelism on Factorization Speed of SIQS",
  booktitle="Proceedings of The 20th World Multi-Conference on Systemics, Cybernetics and Informatics",
  year="2016",
  series="WMSCI 2016 - 20th World Multi-Conference on Systemics, Cybernetics and Informatics, Proceedings",
  journal="Journal on Systemics, Cybernetics and Informatics",
  volume="1",
  number="3",
  pages="55--62",
  publisher="The International Institute of Informatics and Systemics",
  address="Orlando",
  isbn="978-1-941763-47-6",
  issn="1690-4524",
  url="http://www.iiisci.org/Journal/CV$/sci/pdfs/SA559BN16.pdf"
}

Documents

wmsci2016.pdf