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Efficiently Cracking Keypads

So for a change, this will be the first useful post in my site. This post is mainly about how to crack those annoying little electronic door locks controled by simple keypads, efficiently. Usually used in low security area’s commonly found to usually store maintenance material or other random junk (or maybe even gold). They look something like this.
Door Electronic Keypad Image Not always shiney, and not always 5 keys in a cirtular pattern, they come in various shapes, sizes, usually black and silver and the keys all lined up.

DISCLAIMER: This information is for educational purposes only, and you are held responsible for everything you do legally or illegally.

Jump to Method section below if you don’t want to read the boring part.

Consisting of 4-16 keys. As I said earlier I meant sessionless because these devices doesn’t have key entering sessions, or simply in these locks you can keep on hammering the keys very randomly and fast for hours and it will eventually unlock (but random means long period of time). In locks with sessions, you start pounding random keys and it will simply say after 5 (or ~certain keys are pressed) access denied and waits for a couple of more seconds before restarting another session, and you need to re-enter the whole code. The sessionless locks simply checks for the last 5 or so keys pressed and checks it against the stored unlock code. If they match, the door unlocks, if not it waits for another key, checks again, and this process repeats.

Old way to bypass these locks have been to use couple of small solenoid driven things (they move a pin) which act like your finger pressing the button below it, which you mount infront of the keypad’s keys and it automatically presses every possible combination, 1111 1112 1113 … 5131 5132 5133 until 5555. This works, but takes some time. Building one is extremly simple, using a binary counter along a few flip-flops, so all the keys wouldn’t be pounded at the same time but each key at a time at a time, and attaching each switches to each bit value though a transister or a relay, and letting the device pound away. I am not going to explain how to make one here (although which I pretty much did), but I will explain just a idea or logic behind the key’s being pressed I found to make this process much faster. I am sure this has been found and done many times by other people, but I decided to share this here since I don’t recall seeing this anywhere else.

Method

Usually the cracker (automated or manual, example using 5 keys with 4 key combination) go in the order of 1111 1112 1113 1114 1115 1121 … 1534 1535 1545 and so on. It takes time but this way its certain since it goes through every possible combination. But you can make this process a little fast. I will start out with a example, for combination set [5121 - 5135].

512151225123512451315132513351345135

Although it seems this is key presses for [5121 - 5135], this keypress set also includes the combinations

1215,1225,1235,1245,1315,1325,
1335,1345,1512,1513,2151,2251,
2351,2451,2512,2513,3151,3251,
3351,3451,3512,3513,4513

This is much more than the 10 original combinations out of the [5121 - 5135] set intended. You finally get 33 total combinations. This is a 230% increase in efficiency for that range, but is sure to change with larger sets of numbers. Using this method you can cut down on the total number of key presses without sacrificing the completeness of using all possible combinations, which ultimately means less time to crack it, and time always matters. To the lock it seems like this

key pressed : locks intepretation
5 1 2 1 : lock takes 5121 as input, checks against stored unlock code
5 : lock takes 1215 as input, checks against stored unlock code
1: lock takes 2151 as input, checks against stored unlock code
….

Its like overlapping multiple combinations over each other. I will post results later if I come around to make a small application to output such key sets with the most combinations yet least key presses, but if you are up for it go ahead and make one and share. All comments and feedback are welcome. Enjoy.

edit: made it more readible, and fix some mistakes
Also, forgive my small knowledge of keywords I used which may or may not be correct, this isn’t the area I am specialize in mainly.

212 Responses to “Efficiently Cracking Keypads” »»

  1. Comment by nsavir | 06/01/05 at 10:15 pm

    dude I’ll make some math geniuses do it. leet!

  2. Comment by Dhananjay | 06/02/05 at 3:08 pm

    There’s an algorithm to develop such sequences fairly simply (in a fine book I own entitled Game, Set and Math). I’ll look it up and do one for 4-letter strings from 5 choices.

  3. Comment by nsavir | 06/02/05 at 5:53 pm

    By the way, the number of sequnces contained in a set of numbers is easy to determine as follows:

    Let n be the number of digits in a sequence (in your example, 4). Let m be the length of the set of numbers (in your example, 36). The total number of sequences in there is then (m-n+1). This assumes you don’t repeat any, which is the goal, right? The question is: can you find such an optimal sequence?

  4. Comment by Janitha | 06/02/05 at 8:33 pm

    Yes, but in reality it will be a little bit hard to find that optimal sequence, but such sequence exsists for each possible lock type with different combination lengths.

  5. Comment by Evil Mr Henry | 06/03/05 at 6:27 pm

    Just as a quick algorithm, using a 3-digit door with the numbers 1-3 as digits as an example.
    1: enter the first code (111)
    2: Determine and enter the lowest number you can enter with just one aditional digit (112)
    3: If that is impossible, allow 2 (or more) aditional digits, and try again.
    4: Continue until all codes are exausted.

    With the 3x3 example lock, only 35 digits were pressed to cycle through all codes, as opposed to 81 digits for the 111-112-113… algorithm, resulting in an aproximately 131% efficiency increase.

    There were 5 “wasted” digits entered (defined as digits that did not create a new combination when entered). Assuming a perfectly efficient algorithm, 30 digits would be needed, with about a 17% increase in efficiency over this algorithm.

  6. Comment by Mister_IQ | 06/03/05 at 6:40 pm

    Don’t forget the simplest method of limiting your input set, especially in simpler locks with 5 or 6 buttons and a 3 number code (as for the “staff only” areas in restaurants and stores often are):

    Look at the buttons and check for dirt and wear. If the lock is well used, and the combination rarely changed, you should be able to guess which buttons are most used and start with those. Then your algorithm gets far more efficient by eliminating unlikely combinations.

  7. Comment by nsavir | 06/03/05 at 7:50 pm

    Mr. Henry: That method is good but not optimal, because when you have to add two digits to create a new sequence you repeat one sequence.

    I haven’t been able to figure out the perfect pattern; I’m not 100% sure there is one.

    Mister_IQ: I think we were assuming you’re setting up your machine to open the lock in advance, so we are doing it entirely theoretically, not empirically. You’d have to have a much more complicated machine if you wanted to customize the sequence on-site like that.

  8. Comment by fred | 06/04/05 at 9:58 am

    I use these locks at my worksite, Most of the time ( not always ) the numbers are doubled.
    ie. 4322 . Or on some of the locks , you have to press two numbers at the same time. We did
    not do this on purpose just to mess up your method, but it sure would.

  9. ari
    Comment by ari | 06/04/05 at 7:10 pm

    On many of these locks you have to turn the knob after you enter the code. If you have entered the wrong code, the lock will not open and the code will reset to ‘zero’ keypresses, invalidating this method.

  10. Comment by nsavir | 06/05/05 at 6:42 pm

    He said that he wasn’t talking about locks that had sessions. That would be a session lock. However, sometimes you can tell when it has unlocked by the sound, and in that case, so long as the lock only resets when you turn the knob, you can still apply J’s method.

  11. Comment by Tordek | 06/10/05 at 8:18 pm

    The number of possible combinations is m^n, where m is the total amount of diferent digits, and n is the length of the keycode.
    The number of keypresses if each combination is punched in, one after the other is m^n*n
    The number of keypresses using optimal chains is m^n + n - 1 (This was done by trial and error, and might be inaccurate, but i’m pretty sure it works).
    the efficienci of the 2nd method is equal to (m^n)n/m^n+n-1, or roughly n (O(n) to use the big O notation).
    This way, the longer the keycode, the more useful it becomes to use the optimal chain.
    An algorithm to finding the optimal chain is:
    1)Add the lowest non-tested number to the chain. If lowest non tested > n, remove two digits from the chain and retry.
    2)Check for how many combinations the chain works (read through a list of possible combinations and mark if solved)
    3) If every combination is solved exactly once, end.
    3) If a combination is solved more than once, remove the last inputted number
    4) Go back to 1.

    This algorithm’d do, on a m=2 n=2 set:
    chain: 1
    chain: 11
    chain: 111 (solves twice for 11)
    chain: 112
    chain: 1121
    chain: 11211(solves twice for 11)
    chain: 11212(solves twice for 12)
    chain: 1122
    chain: 11221(solves once for 11, 12, 22, 21)
    Finish.

  12. Comment by nsavir | 06/12/05 at 12:03 am

    I’m not sure that would work. That’s similar to what I tried to do, and it works on small sets, but I’m not certain it does on large sets. I’m too tired/lazy to do it right now, but try that algorithm on m=5, n=4 and see what happens. Or even m=4, n=3; I suspect it might get stuck there too.

  13. Comment by Tordek | 06/12/05 at 12:59 pm

    It should be implemented on trees or recursive functions, instead of eliminating N characters from the end (So if it got stuck, the function would just go back until where it could still continue. It’s simple, I just need to get around to do it, i’ll provide a simple C code, when I get the time.

  14. Comment by Preston | 06/14/05 at 5:27 pm

    This entire argument is almost pointless because my guess is that 80% of all numpad locks involve the use of an “Enter” key. Of the 20% of locks that do not require an “Enter” key, I’m betting that half of those, including my mother’s car, have integrated the use of “Sessions”… and may or may not trigger alarms when x number of invalid attempts occur. Of the remaining 10% of locks….. you’d have to do research to learn how many digits needed to press.

    I must admit, I enjoy my way better. Walk up to the lock, look and see what numbers are worn down the most, try to make a “Use Decay” ratio (as in, the “3″ looks twice as worn as the “1.” therefor, there are twice as many “3″s.), and sit there for a long time…. then feel proud when you hear it CLICK.

  15. Comment by Tordek | 06/14/05 at 7:14 pm

    Preston, This isn’t some “omg i wanna rob a bank” discussion
    Were it to be one, I wouldn’t be paying much attention to such a “lamer”, if you may, discussion. This is about hacking stuff, learning the works, and playing it best.
    It’s like learning locksmithing, there will always be locks that just aren’t made the way you are used to them.
    I don’t mind any information you can provide (the more the better), but if you just don’t care, hey, no one forced you to read.
    Also, i should probably leave this to Janitha, it’s his blog after all.

    Best Regards!

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