Sorry if this is more suited to a general programming forum—I hope
the solution will be in Lua, and there are some pretty switched on
people here...
I’d like to iterate through all 40-bit binary numbers that have a
Hamming weight of 25 (ie. 25 of the bits are set to 1). My naive
solution of testing the Hamming weight of all 40-bit numbers looks
like it will take half a year :-) , even with a fairly quick
calculation of Hamming weight using 14-bit lookup tables...
An alternative could use something like this:
num = {}
for i = 1, 15 do num[i] = "0" end
for i = 16, 40 do num[i] = "1" end
n = tonumber(table.concat(num), 2) -- test n
Is there an efficient way of iterating through all combinations of
"0" and "1" in num?
