On a New Boolean Function with Applications

@article{Luccio1999OnAN,
  title={On a New Boolean Function with Applications},
  author={Fabrizio Luccio and Linda Pagli},
  journal={IEEE Trans. Computers},
  year={1999},
  volume={48},
  pages={296-310}
}
ÐConsider a hypercube of 2 points described by n Boolean variables and a subcube of 2 points, m n. As is well-known, the Boolean function with value 1 in the points of the subcube can be expressed as the product (AND) of nÿm variables. The standard synthesis of arbitrary functions exploits this property. We extend the concept of subcube to the more powerful pseudocube. The basic set is still composed of 2 points, but has a more general form. The function with value 1 in a pseudocube, called… CONTINUE READING
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