New Results on Boolean Functions with High Nonlinearity and Low Transparency Order

Algorithm 1

Dual threshold algorithm for search excellent character Boolean function.

	Require: a random Boolean function
	Ensure: excellent character Boolean function
	whiledo
	whiledo
	//Use the array A_cost[] to record the cost value of each time
	end while
	Select the smallest cost value from A_cost[] and record it as
	//Update Boolean functions
	if, then
	//If the value of the times is equal to the times, the first double threshold counter plus 1
	end if
	ifthen
	//The first threshold reset
	//Second threshold counter plus 1
	end if
	if, then
	ifthen
	//The second threshold reset
	end if
	end if
	end while