Let’s talk about your password model

First off, let me just say that I am by no means an expert cryptographer; there are all sorts of wonderful, terrible things about hashes and block ciphers that I just don’t understand (I’d like to believe that it’s because I’ve not been exposed to them, whoever’s fault that is, and that if given a chance I would get it), but that’s also why I’m writing this – to give the opinion of someone who recognizes his own weakness, and how that translates to another’s strength. Furthermore, this explanation gives a very simplistic view of web security that only examines one aspect of a secure system. For loads more information about securing your web application, take a look at “Dos and Don’ts of Client Authentication on the Web” [PDF] written by some very smart folks at M.I.T.

So, let’s start with a beginner’s introduction. In the beginning, there were users, and users wanted to be able to log in because otherwise being a user was rather pointless indeed. Thus, the password is born, and forevermore it becomes the goal of clever crackers and security experts alike. The first problem someone encounters with passwords is how to store them, and that depends very much on a few key factors: Audience, Exposure, and Uniqueness. If you are running a “homegrown” application (shout out to MecTracker) for use only inside the company, containing (in general) zero sensitive data, and you intend to pick user’s passwords for them (preventing the loss of a life password, itself a bad-yet-unavoidable practice), then why not just store them in plain text? Certainly makes it easy to retrieve a password for someone without having to reset it (useful for someone away from their work machine with saved password who needs to log in).

Conversely, if you’re a bank, and you’re storing any of this in plain text, you will be razed to the ground by angry tech-savvy customers and auditors alike, hopefully BEFORE you get grandma and grandpa Jones to type in the password they use for everything else, too. Hopefully, if you’re a bank, you’re using some crazy method I’m not about to describe here.

Then, there’s the middle ground. I, for example, am not a bank (who would’ve guessed? Can someone please notify my ex-girlfriend?), so my needs are much more middle-of-the-road, which is why I’ve settled for hashing. When I started using PHP, I generally stuck to simple MD5 hashes; it was 10 years ago, and breaking MD5 seemed reasonably difficult. Then I was told not to use MD5 because, at 128 bits, it was too weak, and I should be using SHA-1, which was 160 bits. Then came the recommendation for SHA-256 (guess how many bits that one is!), and then whirlpool, and so on. If you’re using a proper password strategy then you’ve been salting all along (I’ll admit I wasn’t in the old days, but you’ve got to be a beginner sometime), but if you haven’t, allow me to give you a word on salt.

“Salting” a password hash is the practice of taking a piece of input data, adding in an extra piece of information (called “salt”; see where this is going?), and hashing that, instead of just hashing the raw input. In fact, with sites that act like a search engine for MD5 and SHA-1 hashes, not salting your input is, for general purpose storage, only one-degree of separation away from just storing the data in plain text. Furthermore, good salt will be ever-changing (in this practice, the salt is also known as a ‘nonce’), and can safely be stored without obfuscation, as having included it means that a table not accounting for the nonce is useless, and a table that accounts for the nonce is only good against one of the passwords in your database. Now you’ve just made an attack much more expensive, but that may not be as useful in reality as we’d like to believe.

MD5 and SHA-1 hashes can be calculated very, very quickly. In fact, it’s generally more expensive to include some data about the current time (for use in salting/as a nonce) than it is to calculate the actual hash. Here is some experimental code to prove my point:

define('ITERATIONS',5);
 
$tt = $th = 0;
for ($j = 0; $j < ITERATIONS; ++$j) {
	$start = microtime(true);
	for ($i = 0; microtime(true) - $start < 1; ++$i) {
		$k = md5($i);
	}
	$tt += (microtime(true) - $start);
	$th += $i;
}
 
var_dump($tt / ITERATIONS, $th / ITERATIONS);

Simply hashing the value of the counter averaged 320,000 hashes per second on my work machine, which is not very powerful, and is certainly not running this in a very optimized way. By changing what is being hashed to the current time to the microsecond, the number of hashes per second is reduced to an average of about 150,000 – in short, the hash is NOT the expensive part of what’s going on here. So, let’s say that, given a more optimized environment but a more expensive dictionary list to be hashed, that the average is 200,000 hashes per second, and the dictionary is about 50,000,000 common passwords. Simple math tells you that generating a hash list for this will take about 250 seconds, or less than 5 minutes. If it takes under 5 minutes to generate a table, and only a few seconds from there to query it, then even a database of 150,000 users can be fully cracked in just under a fortnight.

So how can this be combated? Well, strong password guidelines are a good start, but if you’re relying on users to implement password security for you, you’re probably doing it very, very wrong. I’d like to challenge one of the assumptions you’ve probably made that I’ve had to challenge recently, and that is the value of speed; speed is bad. Think about it: using a hash method that can generate a table of fifty million values in under 5 minutes sounds great from a performance perspective, but who are you really helping? Is your user going to notice that your hash method took under 1ms to calculate, or is this performance more likely to benefit someone trying to crack your passwords? Who would be more hurt if your passwords took closer to 12ms to generate and verify, your users or your would-be attacker?

If you haven’t heard of it yet, may I introduce you to Blowfish Encryption. Blowfish is designed to scale with Moore’s Law by allowing you, the programmer, to decide how long it takes to generate a hash. This is done by allowing you to specify a number which will be interpreted as a log-base-2 of how many iterations the hashing sequence should take; this metadata is then stored as part of the salt, prepended to the hash, and can be verified by the same function that created it since hashes are of fixed length and will be truncated or padded accordingly. By using a log-base-2 scale, every increment of that number (n) literally doubles the time required to calculate the hash, as it will have to undertake 2n iterations to generate the password. From what I can gather, a number like 7 or 8 is a fair industry standard at this time, and on my work machine limits the hashes-per-second to around 86.6 and 43.3, respectively.

Now, performance is a factor in real world applications, so let’s pick a number like 27, which as I said allows about 87 hashes per second. At that rate, a single dictionary table (useful for only one user, since we are salting these passwords) takes about six and a half days to generate. For that same database of 150,000 users, it would take over 2,733 years to crack. Of course, computational power will get less expensive as time goes on, and the same number of operations can and will get faster, but with the blowfish algorithm you need only increment the log to double the computational cost, keeping the cracking of your database safely outside the realm of technical feasibility.

So how does one use the blowfish algorithm in PHP? The crypt() function is your friend! However, the manual is not entirely clear on the implementation details of blowfish, as it does not include one key part (which caused me to tear my hear out a little bit, since, as a Windows user, I was unable to check the man pages for crypt(3)) in any great detail, and that is the log base. When you generate the salt, you will need to prepend it with an instruction string that tells it what kind of hash to generate, and what parameters to use. Furthermore, the salt is not sixteen characters, but sixteen BYTES, and the characters in your hash will be read as a BASE64 encoded string, which means that using characters not allowed in a base64 string will cause the function to revert back to whatever the default is on your system, probably STD_DES or MD5.

All of that information might have seemed a bit hazy, so I’ll include the timing example I used before modified to suit crypt/blowfish. Note also that I am storing the microtime result on every iteration of the for-loop, as in order to give you worst-case scenarios on the cracker’s timetable, I had to give best-case timings on the hashing, and that means as few calls to microtime as possible.

define('ITERATIONS',5);
 
$tt = $th = 0;
for ($j = 0; $j < ITERATIONS; ++$j) {
	$start = microtime(true);
	for ($i = 0; ($z = microtime(true)) - $start < 1; ++$i) {
		$k = crypt($i, '$2a$07$' . (string)$z);
	}
	$tt += ($z - $start);
	$th += $i;
}
 
var_dump($tt / ITERATIONS, $th / ITERATIONS);

Of paramount importance is the literal string prepended to the stored value. The first four characters, $2a$, simply instruct crypt to use the blowfish algorithm. The next three, 07$, pass the number 7 as our log-base-2 argument, meaning the computation will run for 27 iterations. After that, we concatenate our salt (values shorter than 22 characters will be padded in a predictable fashion, and longer than 22 will be truncated) to the argument string and send it off on its merry, 12ms way.

Do I think I’ve defeated all the clever crackers out there? Certainly not. However, I’m definitely in a better boat for having stood on the shoulders of giants and listened to people smarter than I am about security. In fact, don’t listen to me, check out these links for more info:

(Victor) Xi Wang talks about salt, nonces and rainbow tables

Matasano Security, LLC, talks about blowfish and why you shouldn’t design your own password protection scheme.

Linked earlier, explains blowfish encryption – very math/pseudocode heavy.

Also linked earlier, the PHP Manual Entry for Crypt()

Happy Hashing!

Recent Entries

6 Responses to “Let’s talk about your password model”

  1. OldGrumpy Says:

    To cut a long story short: Wasting the cracker’s time is the one and only method one can resort to :) That’s a long-known fact, for example have a look at WinRAR encryption method. It performs some pretty lengthy calculation for the entered password before passing the result on to AES. This costs so much computing time that breaking a WinRAR archive password by brute-force is just completely unfeasible… Beware quantum computers though :D

  2. Clark Says:

    That’s the thing, if you make your passwords take a second (or close to it, in either direction) to generate and validate, you’re going to make brute-force or the generation of rainbow tables so ridiculously expensive it’s just not worth it.

  3. Confused man Says:

    Ok, this is one thing i don’t understand. Maybe you can clarify this for me. If you’re telling it to make it’s own salt on the fly for the bcrypt, wouldn’t this make password validation impossible?

    Since each salt makes the end encryption different? Wouldn’t this render this type of hashing completely and utterly pointless?

  4. Confused man Says:

    nevermind, i tried it for myself, after trying around with a static salt set by myself, and it seems to be working just fine. i’m just going to have to remove said salt from the string itself or else the hacker once getting into the database will be able to get it all. I’m probably just going to use some sort of explode type thing and use the “.” character as the point of explosion, since that’s what the crypt seems that it’s set to put that before the actual encrypted string. Thanks for explaining this in greater detail for me. Now i can finally use this thing. If you wish to delete the other comment so be it, i just was posting without understand how it all worked since i was planning on using a sha256 encryption, but now realizing how easy it’s going to be to use(allbeit i can’t use any special character for the salt even a “-“,”+”).

  5. Confused man Says:

    gah, i misread it “/” and “+” are the alphabet characters you can use. I’d add that somewhere in your article so that those of us who are confused can be helped a bit better. Sorry about all of these comments but since you can’t edit any post you say without actually being approved i had no other way of editing things as i realized hwo foolish i was.

  6. Clark Says:

    I will edit some new details into the article soon, but for now this part is important.

    If you use a static salt, you’re doing yourself a disservice; using a static salt is just as bad as using no salt at all. Once they break the salt, it’s just a matter of generating one new table and the database is just as compromised. Using a salt based on other user data (username, etc) is a step in the right direction, but dangerous if that data can ever change (as it will destroy your ability to check the password).

    When using a random salt, leaving it in the generated string is just fine, because it will still require the cracker to generate a new table/attack vector for each individual password in the table, which is the goal of using the salt. You, however, will need to be able to retrieve that salt on a whim, so prepending it to the generated hash (as crypt automatically does) is a logical way of doing it.

    One again, using a static salt is as bad as no salt at all. Check out that paper from M.I.T. linked near the beginning for info on why (long story short, once someone knows your never-changing salt they are in control, and they will find out). And, storing the generated salt right there with the password is a recognized A-OK technique. Generating a salt yourself every time couldn’t be easier:

    crypt($password, '$2a$07$' . md5(microtime()));

    Finally, if you wanted to store the salt string separately (or just want to be able to separate them), the hash is only the last 32 chars, e.g.

    $hash_without_salt = substr($hash_with_salt, -32);