When Six Gates are Not Enough

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

Research output: Working paper/PreprintPreprint

24 Downloads (Pure)


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 GB
StatePublished - 24 Aug 2015

Publication series

NamearXiv:1612.08154 [cs]


  • cs.CC


Dive into the research topics of 'When Six Gates are Not Enough'. Together they form a unique fingerprint.

Cite this