• DocumentCode
    2645137
  • Title

    Time Estimation of Cheon´s Algorithm over Elliptic Curves on Finite Fields with Characteristic 3

  • Author

    Izu, Tetsuya ; Takenaka, Masahiko ; Yasuda, Masaya

  • Author_Institution
    FUJITSU Labs. Ltd., Kawasaki, Japan
  • fYear
    2011
  • fDate
    June 30 2011-July 2 2011
  • Firstpage
    594
  • Lastpage
    596
  • Abstract
    Cheon introduced a novel algorithm for solving the discrete logarithm problems with auxiliary input (DLPwAI). Since the infeasibility of DLPwAI assures the security of some cryptographic schemes, some implementational results have been reported. This paper estimates the required time for solving DLPwAI on elliptic curves over finite fields with characteristics 3 by extrapolating previous results.
  • Keywords
    public key cryptography; Cheon´s algorithm; DLPwAI; auxiliary input; characteristic 3; cryptographic schemes; discrete logarithm; elliptic curves; finite fields; security; time estimations; Algorithm design and analysis; Complexity theory; Elliptic curve cryptography; Elliptic curves; Estimation; Cheon´s algorithm;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Innovative Mobile and Internet Services in Ubiquitous Computing (IMIS), 2011 Fifth International Conference on
  • Conference_Location
    Seoul
  • Print_ISBN
    978-1-61284-733-7
  • Electronic_ISBN
    978-0-7695-4372-7
  • Type

    conf

  • DOI
    10.1109/IMIS.2011.113
  • Filename
    5976280