Skip to main content
SpringerLink
Log in

Parameters for complex FFTs in finite residue class rings

  • Section 4 Protection Of Information
  • Conference paper
  • First Online:
Book cover EUROCODE '90 (EUROCODE 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 514))

  • 124 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pollard, J. M.: The fast Fourier transform in a finite field. Math. Comp. 25 (1971), pp. 365–374

    Google Scholar 

  2. Agarwal, R. C.:, C. S. Burrus: Number theoretic transforms to implement fast digital convolution. Proc. IEEE 63 (1976), pp. 550–560

    Google Scholar 

  3. Reed, I. S., T. K. Truong: Complex integer convolutions over a direct sum of Galois fields. IEEE Trans. IT-21 (1976), pp. 169–175

    Google Scholar 

  4. Nussbaumer, H. J.: Fast Fourier transform and convolution algorithms. Springer: Berlin-Heidelberg-New York 1981

    Google Scholar 

  5. Dubois, E., A. N. Venetsanopoulos: The generalized Fourier transform in rings of algebraic integers. IEEE Trans. ASSP-28 (1980), pp. 169–175

    Google Scholar 

  6. Creutzburg, R., M. Tasche: Number-theoretic transforms of prescribed length. Math. Comp. 47 (1986), pp. 693–701

    Google Scholar 

  7. Beth, T.: Verfahren der schnellen Fourier-Transformation. Teubner: Stuttgart 1984

    Google Scholar 

  8. Nussbaumer, H. J.: Digital filtering using complex Mersenne transforms. IBM J. Res. Dev. 20 (1976), pp. 498–504

    Google Scholar 

  9. Nussbaumer, H. J.: Digital filtering using pseudo Fermat transforms. IEEE Trans. ASSP-25 (1977), pp. 79–83

    Google Scholar 

  10. Lüneburg, H.: Galoisfelder, Kreisteilungskörper und Schieberegister-folgen. Bibliographisches Institut: Mannheim 1979

    Google Scholar 

  11. Creutzburg, R., M. Tasche: F-Transformation und Faltung in kommutativen Ringen. Elektron. Informationsverarb. Kybernet. 21 (1985), pp. 129–149

    Google Scholar 

  12. Brillhart, J., D. H. Lehmer, J. L. Selfridge, B. Tuckerman, S. S. Wagstaff Jr.: Factorizations of bn±1, b=2,3,5,6,7,10,11,12 Up to High Powers. Contemporary Math. 22, Amer. Math. Soc., Providence, R. I., 1983

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Algorithms and Cognitive Systems, University of Karlsruhe, Am Fasanengarten 5, P. O. Box 6980, D-7500, Karlsruhe 1

    Reiner Creutzburg

Authors
  1. Reiner Creutzburg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Gérard Cohen Pascale Charpin

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Creutzburg, R. (1991). Parameters for complex FFTs in finite residue class rings. In: Cohen, G., Charpin, P. (eds) EUROCODE '90. EUROCODE 1990. Lecture Notes in Computer Science, vol 514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54303-1_134

Download citation

  • DOI: https://doi.org/10.1007/3-540-54303-1_134

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54303-9

  • Online ISBN: 978-3-540-47546-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation