• DocumentCode
    981739
  • Title

    Number-theoretic transforms with 2 as a root of unity

  • Author

    Duhamel, Pierre ; Hollmann, H.

  • Author_Institution
    PAB/RPE/ETP, Centre National d´Ã\x89tudes des Télécommunications, Issy-les-Moulineaux, France
  • Volume
    18
  • Issue
    22
  • fYear
    1982
  • Firstpage
    978
  • Lastpage
    980
  • Abstract
    The letter is an attempt to generalise the advantageous features of Fermat number transforms to match the word length of the modulus of the NTT to the desired dynamic range of the convolution. First, a characterisation of all the transforms with x = 2 and N = 2n is given. We then extend the method to the case N = s × 2n.
  • Keywords
    number theory; transforms; Fermat number transforms; convolution; number-theoretic transforms;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19820671
  • Filename
    4247020