Skip to main content
Log in

The mapping synthesis of ternary functions under fixed polarities

  • Regular Papers
  • Published:
Journal of Computer Science and Technology Aims and scope Submit manuscript

Abstract

This paper proposes a mapping method simplifying the Reed-Muller expansion (“RM expansion”) of a ternary function under fixed polarities and the transformation of the RM expansion coefficients with different fixed polarities.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. L. Post, Introduction to a general theory of elementary propositions.American Journal of Mathematics, 1921, 43, pp. 163–168.

    Article  MATH  MathSciNet  Google Scholar 

  2. I. S. Reed, A class of multiple-error-correcting codes and decoding scheme.IRE Transaction, 1954, IT-4, pp. 38–49.

    Google Scholar 

  3. D. E. Muller, Application of Boolean algebra to switching circuit design and error correction.IRE Transaction, 1954, EC-3, pp. 6–12.

    Google Scholar 

  4. X. W. Wu, X. X. Chen and S. L. Hurst, Mapping of Reed-Muller coefficients and the minimization of exclusive-OR switching functions under fixed polarities.IEE Proc. Pt. E, 1982, 129, pp. 15–20.

    MathSciNet  Google Scholar 

  5. Z. H. Hu and X. W. Wu, The logic synthesis using ternary universal-logic-module U h .IEEE Proc. of 17th ISMVL, 1987, Boston, pp. 250–259.

  6. D. H. Green and I. S. Taylor, Multiple-valued switching circuit design by means of generalised Reed-Muller expansions.Digital Processes, 1976, 2, pp. 63–81.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, X., Wu, H. The mapping synthesis of ternary functions under fixed polarities. J. of Compt. Sci. & Technol. 8, 356–361 (1993). https://doi.org/10.1007/BF02939543

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02939543

Keywords

Navigation