When Six Gates are Not Enough

Michael Codish, Luís Cruz-Filipe, Michael Frank, Peter Schneider-Kamp

Research output: Working paper/PreprintPreprint

Abstract

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.
Original languageEnglish
StatePublished - 24 Aug 2015

Publication series

NamearXiv:1612.08154 [cs]

Keywords

  • cs.CC

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