• DocumentCode
    924286
  • Title

    Complex integer convolutions over a direct sum of Galois fields

  • Author

    Reed, Irving S. ; Treiu-Kien Truong

  • Volume
    21
  • Issue
    6
  • fYear
    1975
  • fDate
    11/1/1975 12:00:00 AM
  • Firstpage
    657
  • Lastpage
    661
  • Abstract
    In this paper, the dynamic range of Fourier-like transforms over the Galois field GF(q^2) , where q is a Mersenne prime, is extended. It is shown that transforms over a direct sum of such Galois fields can be used to compute quite accurately discrete Fourier transforms of complex numbers without roundoff error.
  • Keywords
    Convolution; DFT; Discrete Fourier transforms (DFT´s); Galois fields; Number-theoretic transforms; Chirp; Computer aided analysis; Discrete Fourier transforms; Discrete transforms; Dynamic range; Fast Fourier transforms; Fourier transforms; Galois fields; Roundoff errors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1975.1055471
  • Filename
    1055471
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=924286