대한수학회지 (Journal of the Korean Mathematical Society)

  • 제52권4호
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  • Pages.797-819
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  • 2015
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ANALYSIS OF POSSIBLE PRE-COMPUTATION AIDED DLP SOLVING ALGORITHMS

  • HONG, JIN (Department of Mathematical Sciences and ISaC Seoul National University) ;
  • LEE, HYEONMI (Department of Mathematics and Research Institute for Natural Sciences Hanyang University)
  • 투고 : 2014.09.18
  • 발행 : 2015.06.01
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초록

A trapdoor discrete logarithm group is a cryptographic primitive with many applications, and an algorithm that allows discrete logarithm problems to be solved faster using a pre-computed table increases the practicality of using this primitive. Currently, the distinguished point method and one extension to this algorithm are the only pre-computation aided discrete logarithm problem solving algorithms appearing in the related literature. This work investigates the possibility of adopting other pre-computation matrix structures that were originally designed for used with cryptanalytic time memory tradeoff algorithms to work as pre-computation aided discrete logarithm problem solving algorithms. We find that the classical Hellman matrix structure leads to an algorithm that has performance advantages over the two existing algorithms.

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피인용 문헌

  1. Recent progress on the elliptic curve discrete logarithm problem vol.78, pp.1, 2016, https://doi.org/10.1007/s10623-015-0146-7