Boolean Matrix Transforms for the Minimization of Modulo-2 Canonical Expansions

  • Authors:
  • P. K. Lui;J. C. Muzio

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1992

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Abstract

Fast transforms for computing modulo-2 ring-sum canonical expansions of a Boolean function are described using Kronecker products of elementary Boolean matrices. These transforms unify and generalize existing ones in the literature. Previous algorithms which employ such transforms for finding a minimal fixed polarity expansion (FPE) are reviewed, analyzed, and extended to a minimal fixed basis expansion (FBE).