Algorithm 3.

ID shuffling for a high dimensional grid

Define {Ni} = the number of cells in each dimension and Ni = 2ni, (ni ∈ Z);

Define N = Π(Ni);

For each cell

{Ii} = the cell’s grid index in each dimension;

{ $I_i^{\prime }$} = {reverse_bit(Ii)};

I′ = interleave_bit({ $I_i^{\prime }$});

ID = N - I′;