Skip to main content

Approximation algorithms for counting problems in finite fields

  • Invited Lectures
  • Conference paper
  • First Online:
Fundamentals of Computation Theory (FCT 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 529))

Included in the following conference series:

  • 153 Accesses

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

Access this chapter

Institutional subscriptions

References

  1. Ehrenfeucht, A., Karpinski, M., The Computational Complexity of (XOR, AND)-Counting Problems, Technical Report TR-90-031, International Computer Science Institute, Berkeley, 1990.

    Google Scholar 

  2. Grigoriev, D., Karpinski, M., An Approximation Algorithm for the Number of Zeros of Arbitrary Polynomials over GF[q], Technical Report TR-91-027, International Computer Science Institute, Berkeley, 1991.

    Google Scholar 

  3. Karp, R., Luby, M., Monte-Carlo Algorithms for Enumeration and Reliability Problems, 24th STOC, November 7–9, 1983, pp. 54–63.

    Google Scholar 

  4. Karp, R., Luby, M., Madras, N., Monte-Carlo Approximation Algorithms for Enumeration Problems, J. of Algorithms, 10, No. 3, Sept. 1989, pp. 429–448.

    Google Scholar 

  5. Karpinski, M., Boolean Circuit Complexity of Algebraic Interpolation Problems, Proc. CSL '88 Lecture Notes in Computer Science, 385 (1989), pp. 138–147.

    Google Scholar 

  6. Karpinski, M., Luby, M., Approximating the Number of Solutions of a GF[2] Polynomial, Proc. 2nd ACM-SIAM SODA (1991), pp. 300–303.

    Google Scholar 

  7. Karpinski, M., Lhotzky, B., An (ε, δ)-Approximation Algorithm for the Number of Zeros for a Multilinear Polynomial over GF[q], Technical Report TR-91-022, International Computer Science Institute, Berkeley, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

L. Budach

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Karpinski, M. (1991). Approximation algorithms for counting problems in finite fields. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1991. Lecture Notes in Computer Science, vol 529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54458-5_48

Download citation

  • DOI: https://doi.org/10.1007/3-540-54458-5_48

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54458-6

  • Online ISBN: 978-3-540-38391-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics