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Research on Attacking a Special Elliptic Curve Discrete Logarithm Problem

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  • Jiang Weng
  • Yunqi Dou
  • Chuangui Ma

Abstract

Cheon first proposed a novel algorithm for solving discrete logarithm problem with auxiliary inputs. Given some points , an attacker can solve the secret key efficiently. In this paper, we propose a new algorithm to solve another form of elliptic curve discrete logarithm problem with auxiliary inputs. We show that if some points and a multiplicative cyclic group are given, where is a prime, is the order of . The secret key can be solved in group operations by using storage.

Suggested Citation

  • Jiang Weng & Yunqi Dou & Chuangui Ma, 2016. "Research on Attacking a Special Elliptic Curve Discrete Logarithm Problem," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:5361695
    DOI: 10.1155/2016/5361695
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