Skip to main content

A remark on minimal polynomials of Boolean functions

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 385))

Abstract

We consider two problems in connection with minimal polynomials of Boolean functions. We first discuss the Disjoint Computation Scheme Hypothesis. Then we show how to compute efficiently minimal polynomials for symmetric Boolean functions.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

5. References

  • C. Greene and D. Kleitman 1976 Strong versions of Sperner's Theorem, J. of Comb. Theory Series A 20, 1976, 80–88.

    Article  Google Scholar 

  • A. Odlyzko 1973 On covering a product of sets with products of their subsets, Disc. Math. 5, 1973, 373–380.

    Article  Google Scholar 

  • W. Paul 1975 Boolesche Minimalpolynome und Überdeckungsprobleme, Acta Inform. 4, 1975, 321–336.

    Article  Google Scholar 

  • W. Paul 1976 Realizing Boolean functions on disjoint sets of variables, Theor. Comp. Sci. 2, 383–396.

    Article  Google Scholar 

  • D. Uhlig 1974 On the synthesis of self-correcting schemes from functional elements with a smaller number of reliable elements, Math. Notes Acad. Sci. USSR 15, 1974, 558–562.

    Article  Google Scholar 

  • D. Uhlig 1984 Zur Parallelberechnung Boolescher Funktionen, TR Ing. hochsch. Mittweida, 1984.

    Google Scholar 

  • I. Wegener 1987 The complexity of Boolean functions, Wiley-Teubner, 1987, Chichester.

    Google Scholar 

  • M.H. Young and S. Muroga 1985 Symmetric minimal covering problem and minimal PLA's with symmetric variables, IEEE Transactions on Computers 34, 1985, 523–541.

    Google Scholar 

Download references

Authors

Editor information

Egon Börger Hans Kleine Büning Michael M. Richter

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Voigt, B., Wegener, I. (1989). A remark on minimal polynomials of Boolean functions. In: Börger, E., Büning, H.K., Richter, M.M. (eds) CSL '88. CSL 1988. Lecture Notes in Computer Science, vol 385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0026314

Download citation

  • DOI: https://doi.org/10.1007/BFb0026314

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51659-0

  • Online ISBN: 978-3-540-46736-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics