Cubics
in Nine Variables
This
page reports the numerical experiments related to the classification of
the Boolean cubic forms in nine variables that I computed with Eric
Brier. Using the Xiang-Dong Hou works, there
are 349 Boolean cubic forms in nine variables up to
GL(2,9) equivalence. The classification allows us to compute the weight
distribution of the Reed-Muller codes of order 3 in 9 and 10
variables. It was a world record !