Skip to main content
SpringerLink
Log in

Matrix method of polynomial expansion of symmetric Boolean functions

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

A problem of polynomial expansion of symmetric Boolean functions is considered. A matrix method for polynomial expansion of symmetric functions that can be used to calculate the working numbers of homogeneous polynomial symmetric Boolean functions is proposed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Pospelov, D.A., Logicheskie metody analiza i sinteza skhem (Logical Methods of Scheme Analysis and Synthesis), Moscow: Energiya, 1974.

    Google Scholar 

  2. Sasao, T. and Besslich, Ph., On the Complexity of Mod-2 Sum PLA’s, IEEE Trans. Comput., 1990, vol. 39, pp. 262–266.

    Article  Google Scholar 

  3. Sasao, T., Index Generation Functions: Recent Developments, Proc. Int. Symp. on Multiple-Valued Logic, Tuusula, 2011, pp. 1–9.

    Google Scholar 

  4. Rafiev I.A., Murphy, J.P. and Yakovlev, A., Quaternary Reed-Muller Expansions of Mixed Radix Arguments in Cryptographic Circuits, Proc. 39th Int. Symp. on Multiple-Valued Logic, Washington: IEEE Computer Society, 2009.

    Google Scholar 

  5. Suprun, V.P., Table Method of Boolean Function Polynomial Expansion, Kibernetika, 1987, no. 1, pp. 116–117.

    Google Scholar 

  6. Saluja, K.K. and Ong, E.H., Minimization of Reed-Muller Canonic Expansion, IEEE Trans. Comput., 1979, vol. 28, No 7, pp. 535–537.

    Article  MathSciNet  MATH  Google Scholar 

  7. Suprun, V.P., Transformation Method of d.n.f. Boolean Functions in Zhegalkin Canonical Polynomial, Avtomat. Vychisl. Tekhn., 1984, no. 2, pp. 78–81.

    Google Scholar 

  8. Suprun, V.P., Polynomial Expansion of Symmetric Boolean Functions, Izv. Akad. Nauk SSSR. Tekhn. Kibernetika, 1985, no. 4, pp. 123–127.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Belarusian State University, av. Nezavisimosti 4, Minsk, 220030, Belarus

    V. P. Suprun

  2. United Institute of Informatics Problems, National Academy of Sciences of Belarus, st. Surganova 6, Minsk, 220012, Belarus

    D. A. Gorodecky

Authors
  1. V. P. Suprun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. A. Gorodecky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Suprun.

Additional information

Original Russian Text © V.P. Suprun, D.A. Gorodecky, 2013, published in Avtomatika i Vychislitel’naya Tekhnika, 2013, No. 1, pp. 5–12.

About this article

Cite this article

Suprun, V.P., Gorodecky, D.A. Matrix method of polynomial expansion of symmetric Boolean functions. Aut. Control Comp. Sci. 47, 1–6 (2013). https://doi.org/10.3103/S0146411613010070

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411613010070

Keywords

Search

Navigation