Application of parallel virtual machine framework to the strong prime problem

Der Chuyan Lou*, Chia Long Wu, Rong Y.I. Ou

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

2 Scopus citations

Abstract

This paper use the well-discussed PVM (Parallel Virtual Machine) software with several personal computers, and adopt the widespread Microsoft Windows '98 operating system as our operation platform to construct a heterogeneous PCs cluster. By engaging the related researches of PC cluster system and cluster computing theory, we apply our heterogeneous PC cluster computing system to generate more secure parameters for some public key cryptosystems such as RSA. Copes with each parameter's related mathematic theory's restriction, enormous computation power is needed to get better computation performance in generating these parameters. In this paper, we contribute heterogeneous PCs combined with the PVM software to cryptosystem parameters, which is conformed to today's safety specification and requirement. We practically generate these data to prove that computer cluster can effectively accumulate enormous computation power, and then demonstrate the cluster computation application in finding strong primes which are needed in some public key cryptosystems.

Original languageEnglish
Pages (from-to)797-806
Number of pages10
JournalInternational Journal of Computer Mathematics
Volume79
Issue number7
DOIs
StatePublished - 2002
Externally publishedYes

Keywords

  • Cluster computing
  • Cryptography
  • Parallel virtual machine
  • Primality test
  • Strong prime

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