Galois Switching Functions and Their Applications

  • Authors:
  • Boonsieng Benjauthrit;Irving S. Reed

  • Affiliations:
  • Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90007.;Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90007.

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1976

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Abstract

The Boolean difference expansion of Boolean algebra is generalized to finite (Galois) fields. A systematic method is provided for calculating the coefficients of this type of multivariable polynomial expansion. It is applied then to the synthesis functions. Applications include multivalued logics as well as binary-valued logics.