result in a predetermined number e g 153 which is the smallest decimal number which can be expressed as the sum of cubes of its digits note that the halves of the private address may be calculated separately which may have the effect of improving pre image finding while still providing a resolution of 216 for discovery at the cost of requiring occasional key changes in function 2 above the address is xored with a copy of itself shifted by one if the number of either bit 1 or 0 is between 2 and n u2212 1 we accept otherwise reject function 3 to summarize the exemplary address generation depicted in additional detail at the bottom of fig6 a wcd a 400 decides on a random 16 byte secret address component s which it must keep for future reference this address can alternatively be described as an identification id as it is not usually used for routing but primarily for verifying the actual identity of wcd a 400 when a private address is employed for each newly generated private address it will run two consecutive loops that on average may cycle 128 times for the cryptographic function the entropy function may add a few cycles with a close to normal distribution for the variation for each loop cycle the device randomly selects a n 2 bit random address proposal p and then checks whether p fulfills the r function if the p value does not make the function true the r function may adjust p to p u2032 e g a radio compatible version of p or simply restart the loop from the beginning if when p satisfies the r function then k e s.