• DocumentCode
    1105795
  • Title

    Improved Montgomery modular inverse algorithm

  • Author

    McIvor, C. ; McLoone, M. ; McCanny, J.V.

  • Author_Institution
    Inst. of Electron., Queen´´s Univ. of Belfast, Ireland
  • Volume
    40
  • Issue
    18
  • fYear
    2004
  • Firstpage
    1110
  • Lastpage
    1112
  • Abstract
    A new, single and unified Montgomery modular inverse algorithm, which performs both classical and Montgomery modular inversion, is proposed. This reduces the number of Montgomery multiplication operations required by 33% when compared with previous algorithms reported in the literature. The use of this in practice has been investigated by implementation of the improved unified algorithm and the previous algorithms on FPGA devices. The unified algorithm implementation shows a significant speed-up and a reduction in silicon area usage.
  • Keywords
    digital arithmetic; field programmable gate arrays; inverse problems; public key cryptography; FPGA devices; Montgomery modular inverse algorithm; Montgomery multiplication operations; public key cryptography; silicon area usage; unified algorithm;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20045610
  • Filename
    1335002