When Six Gates are Not Enough

نویسندگان

  • Michael Codish
  • Luís Cruz-Filipe
  • Michael Frank
  • Peter Schneider-Kamp
چکیده

We apply the pigeonhole principle to show that there must exist Boolean functions on 7 inputs with a multiplicative complexity of at least 7, i.e., that cannot be computed with only 6 multiplications in the Galois field with two elements.

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عنوان ژورنال:
  • CoRR

دوره abs/1508.05737  شماره 

صفحات  -

تاریخ انتشار 2015