Prime Numbers of Diffie-Hellman Groups for IKE-MODP

Ikkwon Yie, Seongan Lim, Seung-Joo Kim, Dongryeol Kim

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Abstract

For Discrete Logarithm Problem(DLP) based public key cryptography, the most time consuming task is the mathematical operations in the underlying finite field. For computational efficiency, a predeterminate form of prime p has been proposed to be used in Diffie-Hellman Groups for Internet Key Exchange(IKE). In this paper, we analyze the effect of pre-fixed bits of the prime numbers related to the security and efficiency and we suggest some alternative choices for prime p's for More Modular Exponential (MODP) Diffie-Hellman groups as a substitute for Internet Key Exchange(IKE) which has been published as RFC of IETF recently.

Original languageEnglish
Pages (from-to)228-234
Number of pages7
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2904
Publication statusPublished - 2003 Dec 1
Externally publishedYes

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Keywords

  • IKE
  • Prime numbers

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science
  • Engineering(all)

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