Question

Consider a brute force attempt to crack keys for the following scenario. You have in your possession a wireless emulator the size of a 6” cube (i.e., 6” x 6” x 6”) with a weight of less than 5 pounds which you can take to a parking lot containing 1,000 new cars. Each car has a four-digit wireless door key (between “0000” and “9999” using wireless symbols) as well as a three-digit engine key (between “000” and “999” including the endpoints, i.e., “000” is a legitimate engine key as is “999”).

a. (10 pts.) The first step is to open the door of one of the cars. In order to not lock out a customer due to others using wireless keys nearby, there is no limit on the number of attempts. Assume that each attempt takes one second and is broadcast to the nearest 10 cars which have not yet been opened. Furthermore, assume that the parking lot is not monitored between 3am and 3:30am, and that the attack occurs during this half hour. How many cars can be broken into by the wireless emulator during this half hour, ignoring the time it takes to walk around the parking lot and ignoring any “reset” time (in other words, a wireless break-in attempt is made every second without delay between attempts)?

Answer 1

If u have any doubts in the solution ask it as a comment I will clarify