How to pick an appropriate IV (Initialization Vector) for AES/CTR/NoPadding?

Question

I would like to encrypt the cookies that are written by a webapp and I would like to keep the size of the cookies to minimum, hence the reason I picked AES/CTR/NoPadding.

Answer 1

I dont have a direct answer for you question but a few things to add though.

First of all, encrypting the cookie does not make sense to me. If you want confidentiality of your data, you shouldn't store it in a cookie anyway. If you want integrity (i.e. not possible to tamper with the content of the cookie), you should use a keyed hash (HMAC, for example).

Another note is to never use a IV which is all 0 just for convenience.

IV's are equal in size with of your block. In case of AES-128, the blocksize is 128, the keysize is 128 and hence the IV is 128 bits.

The best way to do this is by creating a random AES key and using it as IV. This random IV may be public as long as it is not reused in subsequent encryptions with the same key

edit:

You may want to look at this wiki page for more info on which mode to use. However, never use ECB unless you're sure you should use it. And even then, verify with an expert. CBC is as far as I know the safest (together with PCBC).

http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation

Answer 2

It is possible to avoid the random IV by using CBC and storing the HMAC in front of the message. Using a randomly picked constant IV is ok. But you have to be sure messages are all different.

This is the case when the encrypted message is always different. A license key with a serial number would match this criteria. A cookie with a user id or session id would match it too.

You may use CBC with a random constant IV if you store the hmac in front of the message. The hash will cumulate all the variations spread in the message in the first block. You may also add a few random bytes or preferably a serial number if you can ensure that it will be unique or not reused in a very long time.

Don't even think of using CTR with a constant IV.

Answer 3

CTR security requires that you never reuse an IV for two message encryptions with the same key. Actually it is even stricter: CTR mode works by encrypting successive values of a counter (the IV is just the initial value for that counter) and proper security is achieved only if the same counter value is not used twice; this means that encrypting a value with an IV actually "consumes" a sequence of successive IV values which must not be reused with another encryption.

The easy way to do that is to use a cryptographically secure random number generator, and create a new 16-byte random IV for every message. I underline "cryptographically secure" because that's important; a basic random number generator is not enough. With Java, use java.util.SecureRandom. With Win32, call CryptGenRandom(). With a random selection, the space of possible 128-bit IV is large enough that collisions are extremely improbable. Actually, that's why AES uses 128-bit blocks (thus implying 128-bit IV).

The entity which will decrypt the message must know the IV, so you have to store it along with the encrypted message. That's an extra 16 bytes. I understand that this overhead is what you want to avoid, although 16 bytes is not that much for a cookie. The effective maximum length of a cookie depends on the Web browser but 4000 characters appear to work "everywhere". A 16-byte IV, when encoded in characters (e.g. with Base64), will use about 22 characters, i.e. much less than 1% of your maximum cookie size: maybe you can afford that ?

Now we can get funky and try to reduce the IV length through trickery:

• Generate the IV with a hash function: server-side, use a counter, which begins at 0 and is incremented every time a new IV is needed. To get the IV, you hash the counter with a suitable hash function, e.g. SHA-256, and you keep the first 16 bytes of the hash value. The "randomization properties" of the hash function will be enough to make the IV sufficiently random with regards to CTR requirements. This needs a cryptographically secure hash function, hence SHA-256 (avoid MD5). You then just have to store the counter value in the cookie, and the counter will be shorter than 16 bytes (e.g. if you have no more than 4 billions customers, the counter will fit in 4 bytes). However, there is a hidden cost: the server (I suppose the server is performing the encryption in your system) must make sure that it never reuses a counter value, so it must store the "current counter" somewhere in a way which persists over server reboots, and also does not fail if you scale up to several front-ends. That's not as easy at is seems.

• Use an external unique value: possibly, the cookie could be part of an context which provides enough data to generate a value which will be unique to each encryption. For instance, if the request also contains (in the clear) a "user ID", you could use the user ID as an IV source. The setup is similar to the one above: you get all that data, stuff it into SHA-256, and the first 16 bytes of SHA-256 output is the IV you need. This works only if that data does not change for a given encrypted message, and if it is really unique. This is a rare occurrence: for instance, a "user ID" is good for that only if there is never a need to reencrypt a new message for the same user, and if there is never a possibility that a user ID is reused (e.g. an old user quits, a new user comes and selects the now free user ID).

Using a random 16-byte IV generated with a cryptographically secure PRNG is still the "safe" way, and the one I recommend. If you find space tight in the cookie, then this means that you are approaching the 4 kB limit, at which point you may want to use compression (on the data before encryption; after encryption, compression is very very unlikely to work). Use zlib (in Java, you can access zlib through java.util.zip).

Warning: in all of the above, I am not saying anything about whether cookie encryption does help in providing whatever security characteristics you are trying to achieve. Usually, when encryption is needed, you actually need both encryption and integrity, and then you should use a combined-encryption-and-integrity mode. Lookup GCM and CCM. Moreover, cookie encryption is mostly good for one purpose, which is to avoid the cost of storing server-side a bit of user-specific data. If you want to encrypt a cookie for something else, e.g. to authenticate a valid user, then you are doing it wrong: encryption is not the right tool for that.

Answer 4

Include a large random number with the cookie. A 64 or 128 bit number is probably large enough. It needs to be large enough for it to be very difficult to get duplicates. Be sure to put enough entropy into this number. Don't just use gettime(). If you have access to CRNG then use it here.

Store a 256 bit master key with your application. Use SHA256 to derive your key information. Again, use a CRNG for this.

$keyblob = sha256( concat("aeskeyid", $masterkey , $randomnumberwithcookie ) )
$aeskey = $keyblob[0..15]
$aesiv = $keyblob[16..31]

You may also want to derive a key for an HMAC.

$mackeyblob = sha256( concat("hmackeyid", $masterkey , $randomnumberwithcookie ) )

Alternatively, you could combine the above two hash operations into one by using SHA512.

$keyblob = sha512( concat("randomkeyid", $masterkey , $randomnumberwithcookie ) )
$aeskey = $keyblob[0..15]
$aesiv = $keyblob[16..31]
$hmackey = $keyblob[32..63] 

Answer 5

If you don't make the IV random (i.e., you use some repeating group of numbers), it will be easier to figure out the key if the cookie always start with the same clear text.

The IV size for AES-128 is 128 bits. IIRC, the IV is the same size as the cipher block. 128 bits is 16 bytes. 32 bytes if you store it as a ASCII hex string. Is that really too much? 32 bytes in this day and age is not much at all...