Is RSA encoded block considered good random distributed? - encryption

I am creating a new transmission protocol, and I currently use a lot of RSA transfers that send a AES key to protect the data.
My current setup for a packet is:
RSA_Block{
AES key
IV
Other things
}
AES_Block{
Data
}
The problem is that the IV itself takes space inside the secure RSA block. If I move the IV out (which is fine from security point of view) takes some extra space in my transfers (enlarges the packet by IV size).
So I am thinking.... if the RSA block contains pure random data (the AES key is random at every transmission). I use the first part of the RSA encoded block as IV.
But is it secure? Or does the RSA block have some non randomness in its first bytes?

RSA encrypts one block of data into one block of encrypted data. The size of the data that can fit in a block is dictated by the key size. The size of the encrypted block is not dependent on how much data you encrypt, but of the key size. So removing the IV from the RSA input won't make the output smaller - assuming that the input can fit in one block. The presence of an IV in the RSA block won't have an impact on the total encryption time.
From a security point of view, you don't need to protect the IV. Usually you would just pass it along with the data in clear. Something like this:
RSA_Block{
AES key
Other things
}
AES_Block{
IV
Data
}
I know this actually makes the data a bit bigger. But it won't have much impact on the time for processing. Considering the cost of memcpy when talking about RSA encryption don't make any sense. There is more than a factor 1000 in difference (might even be in the millions - depending on key size etc.).

Related

Does the IV of AES-128-cbc need to be random during encryption and decryption?

I am using node and the crypto module to encrypt and decrypt a large binary file. I encrypt the file using crypto.createCipheriv and decrypt it using crypto.createDecipheriv.
For the encryption I use a random IV as follows:
const iv = crypto.randomBytes(16);
const encrypt = crypto.createCipheriv('aes-128-cbc', key, iv)
What I don't understand, do I need to pass a random IV for createDecipheriv as well? The SO here says:
The IV needs to be identical for encryption and decryption.
Can the IV be static? And if it can't, is it considered to be a secret? Where would I store the IV? In the payload?
If I use different random IVs for the encryption and decryption, my payload gets decrypted but the first 16 bytes are corrupt. This means, it looks like the IV needs to be the same but from a security perspective there is also not much value as the payload is decrypted except 16 bytes.
Can anyone elaborate what the go-to approach is? Thanks for your help!
The Key+IV pair must never be duplicated on two encryptions using CBC. Doing so leaks information about the first block (in all cases), and is creates duplicate cipher texts (which is a problem if you ever encrypt the same message prefix twice).
So, if your key changes for every encryption, then your IV could be static. But no one does that. They have a key they reuse. So the IV must change.
There is no requirement that it be random. It just shouldn't repeat and it must not be predictable (in cases where the attacker can control the messages). Random is the easiest way to do that. Anything other than random requires a lot of specialized knowledge to get right, so use random.
Reusing a Key+IV pair in CBC weakens the security of the cipher, but does not destroy it, as in CTR. IV reused with CTR can lead to trivial decryptions. In CBC, it generally just leaks information. It's a serious problem, but it is not catastrophic. (Not all insecure configurations are created equal.)
The IV is not a secret. Everyone can know it. So it is typically prepended to the ciphertext.
For security reasons, the IV needs to be chosen to meet cryptographic randomness security requirements (i.e. use crypto.randomBytes( ) in node). This was shown in Phil Rogaway's research paper. The summary is in Figure 1.2 of the paper, which I transcribe here:
CBC (SP 800-38A): An IV-based encryption scheme, the mode is secure as a probabilistic encryption scheme, achieving indistinguishability from random bits, assuming a random IV. Confidentiality is not achieved if the IV is merely a nonce, nor if it is a nonce enciphered under the same key used by the scheme, as the standard incorrectly suggests to do.
The normal way to implement this is to include the IV prepended to the ciphertext. The receiving party extracts the IV and then decrypts the ciphertext. The IV is not a secret, instead it is just used to bring necessary security properties into the mode of operation.
However, be aware that encryption with CBC does not prevent people from tampering with the data. If an attacker fiddles with ciphertext bits within a block, it affects exactly two plaintext blocks, one of which is in a very controlled way.
To make a very long story short, GCM is a better mode to use to prevent such abuses. In that case, you do not need a random IV, but instead you must never let the IV repeat (in cryptography, we call this property a "nonce"). Luke Park gives an example of how to implement it, here. He uses randomness for the nonce, which achieves the nonce property for all practical purposes (unless you are encrypting 2^48 texts, which is crazy large).
But whatever mode you do, you must never repeat an IV for a given key, which is a very common mistake.

Storing IV when using AES asymmetric encryption and decryption

I'm looking at an C# AES asymmetric encryption and decryption example here and not sure if i should store the IV in a safe place (also encrypted??). Or i can just attach it to the encrypted text for using later when i with to decrypt. From a short reading about AES it seems it's not needed at all for decryption but i'm not sure i got it right and also the aes.CreateDecryptor(keyBytes, iv) need it as parameter.
I use a single key for all encryptions.
It's fairly standard to transmit the encrypted data as IV.Concat(cipherText). It's also fairly standard to put the IV off to the side, like in PKCS#5.
The IV-on-the-side approach matches more closely with how .NET wants to process the data, since it's somewhat annoying to slice off the IV to pass it separately to the IV parameter (or property), and then to have a more complicated slicing operation with the ciphertext (or recovered plaintext).
But the IV is usually transmitted in the clear either way.
So, glue it together, or make it a separate column... whatever fits your program and structure better.
Answer: IV is necessary for decryption as long as the content has been encrypted with it. You don't need to encrypt or hide the IV. It may be public.
--
The purpose of the IV is to be combined to the key that you are using, so it's like you are encrypting every "block of data" with a different "final key" and then it guarantees that the cipher data (the encrypted one) will always be different along the encryption (and decryption) process.
This is a very good illustration of what happens IF YOU DON'T use IV.
Basically, the encryption process is done by encrypting the input data in blocks. So during the encryption of this example, all the parts of the image that have the same color (let's say the white background) will output the same "cipher data" if you use always the same key, then a pattern can still be found and then you didn't hide the image as desired.
So combining a different extra data (the IV) to the key for each block is like you are using a different "final key" for each block, then you solve your problem.

When using AES, is there a way to tell if data was encrypted using 128 or 256 bit keys?

I was wondering if there is some way to tell if data was encrypted with a specific key size, without the source code of course. Is there any detectable differences with the data that you can check post encryption?
No there is not any way to do that. Both encrypt 16-byte chunks of data and the resulting blocks would "look" the same after the encryption is complete (they would have different values, but an analysis on only the encrypted data would not be able to determine the original key size). If the original data (plain text) is available, it may be possible to do some kind of analysis.
A very simplistic "proof" is:
For a given input, the length of the output is the same regardless of the key size. It may, however, differ depending on the mode (CBC, CTR, etc.).
Since the encryption is reversible, it can be considered to be a one-to-one function. In other words, a different input results in a different output.
Therefore, it is possible to produce any given output (by changing the plain text) regardless of the key size.
Thus, for a given password, you could end up with the same output by using the appropriate plain text regardless of the key size. This "proof" has a hole in that padding schemes can result in a longer output than input (so the function is not necessarily onto.) But I doubt this would make a difference in the end result.
If an encryption system is any good (AES is) then there should be no way to distinguish its raw output from random data -- so, in particular, there should be no way to distinguish between AES-128 and AES-256, at least on the output bits.
However, most protocols which use encryption end up including some metadata which designates, without ambiguity, the kind of algorithm which was used, including key size. This is to that the receiver knows what to use to decrypt. This is not considered to be an issue. So, in practice, one has to assume that whatever attacker looks at your system knows whether the key is actually a 128-bit or 256-bit key.
Some side channels may give that information, too. AES encryption with a 256-bit key is 40% slower than AES encryption with a 128-bit key: simply timing how much time an encrypting server takes to respond can reveal the key size.

Characteristics of an Initialization Vector

I'm by no means a cryptography expert, I have been reading a few questions around Stack Overflow and on Wikipedia but nothing is really 'clear cut' in terms of defining an IV and its usage.
Points I have discovered:
An IV is prepended to a plaintext message in order to strengthen the encryption
The IV is truely random
Each message has its own unique IV
Timestamps and cryptographic hashes are sometimes used instead of random values, but these are considered to be insecure as timestamps can be predicted
One of the weaknesses of WEP (in 802.11) is the fact that the IV will reset after a specific amount of encryptions, thus repeating the IV
I'm sure there are many other points to be made, can anyone think of any other characteristics which I've missed?
An IV is "a public value which impacts the encryption process". The point of the IV is often to "randomize" the input data to avoid leaking information about which input blocks were identical in the plaintext (because identical blocks happen quite a lot in "real-life" data).
Whether the IV is input by pre-pending it or otherwise depends on the algorithm in which it is used. For symmetric encryption with a block cipher in CBC mode, the IV is pre-pended to the encrypted data (CBC uses, for each block, the previous encrypted block; the IV plays the role of the encrypted block -1).
An IV is distinct from a key in that a key is secret whereas the IV needs not be secret; the IV is often transmitted along the encrypted message. Conversely, the IV must be distinct for every message, whereas the key may be reused. Actually, the IV must be distinct for every message encrypted with the same key; if you use a new key for every message then you can use a constant, fixed IV. Note that the IV needs not be secret, but you can keep it secret if you wish. But the sender and the receiver must agree on the IV, and since the IV changes for every message then it can be inconvenient, in some setups, to keep IV secret.
Whether the IV must be uniformly random, or simply non-repeating, depends on the algorithm. CBC requires a random IV. Other modes are less picky, e.g. GCM. You may derive the key and the IV from a "master key", using a proper one-way function. This is what SSL does. It is more tricky that it seems, do not try it at home.
Repeating the IV is one of the numerous sins of WEP.

Should I use an initialization vector (IV) along with my encryption?

Is it recommended that I use an initialization vector to encrypt/decrypt my data? Will it make things more secure? Is it one of those things that need to be evaluated on a case by case basis?
To put this into actual context, the Win32 Cryptography function, CryptSetKeyParam allows for the setting of an initialization vector on a key prior to encrypting/decrypting. Other API's also allow for this.
What is generally recommended and why?
An IV is essential when the same key might ever be used to encrypt more than one message.
The reason is because, under most encryption modes, two messages encrypted with the same key can be analyzed together. In a simple stream cipher, for instance, XORing two ciphertexts encrypted with the same key results in the XOR of the two messages, from which the plaintext can be easily extracted using traditional cryptanalysis techniques.
A weak IV is part of what made WEP breakable.
An IV basically mixes some unique, non-secret data into the key to prevent the same key ever being used twice.
In most cases you should use IV. Since IV is generated randomly each time, if you encrypt same data twice, encrypted messages are going to be different and it will be impossible for the observer to say if this two messages are the same.
Take a good look at a picture (see below) of CBC mode. You'll quickly realize that an attacker knowing the IV is like the attacker knowing a previous block of ciphertext (and yes they already know plenty of that).
Here's what I say: most of the "problems" with IV=0 are general problems with block encryption modes when you don't ensure data integrity. You really must ensure integrity.
Here's what I do: use a strong checksum (cryptographic hash or HMAC) and prepend it to your plaintext before encrypting. There's your known first block of ciphertext: it's the IV of the same thing without the checksum, and you need the checksum for a million other reasons.
Finally: any analogy between CBC and stream ciphers is not terribly insightful IMHO.
Just look at the picture of CBC mode, I think you'll be pleasantly surprised.
Here's a picture:
http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation
link text
If the same key is used multiple times for multiple different secrets patterns could emerge in the encrypted results. The IV, that should be pseudo random and used only once with each key, is there to obfuscate the result. You should never use the same IV with the same key twice, that would defeat the purpose of it.
To not have to bother keeping track of the IV the simplest thing is to prepend, or append it, to the resulting encrypted secret. That way you don't have to think much about it. You will then always know that the first or last N bits is the IV.
When decrypting the secret you just split out the IV, and then use it together with the key to decrypt the secret.
I found the writeup of HTTP Digest Auth (RFC 2617) very helpful in understanding the use and need for IVs / nonces.
Is it one of those things that need to be evaluated on a case by case
basis?
Yes, it is. Always read up on the cipher you are using and how it expects its inputs to look. Some ciphers don't use IVs but do require salts to be secure. IVs can be of different lengths. The mode of the cipher can change what the IV is used for (if it is used at all) and, as a result, what properties it needs to be secure (random, unique, incremental?).
It is generally recommended because most people are used to using AES-256 or similar block ciphers in a mode called 'Cipher Block Chaining'. That's a good, sensible default go-to for a lot of engineering uses and it needs you to have an appropriate (non-repeating) IV. In that instance, it's not optional.
The IV allows for plaintext to be encrypted such that the encrypted text is harder to decrypt for an attacker. Each bit of IV you use will double the possibilities of encrypted text from a given plain text.
For example, let's encrypt 'hello world' using an IV one character long. The IV is randomly selected to be 'x'. The text that is then encrypted is then 'xhello world', which yeilds, say, 'asdfghjkl'. If we encrypt it again, first generate a new IV--say we get 'b' this time--and encrypt like normal (thus encrypting 'bhello world'). This time we get 'qwertyuio'.
The point is that the attacker doesn't know what the IV is and therefore must compute every possible IV for a given plain text to find the matching cipher text. In this way, the IV acts like a password salt. Most commonly, an IV is used with a chaining cipher (either a stream or block cipher). In a chaining block cipher, the result of each block of plain text is fed to the cipher algorithm to find the cipher text for the next block. In this way, each block is chained together.
So, if you have a random IV used to encrypt the plain text, how do you decrypt it? Simple. Pass the IV (in plain text) along with your encrypted text. Using our fist example above, the final cipher text would be 'xasdfghjkl' (IV + cipher text).
Yes you should use an IV, but be sure to choose it properly. Use a good random number source to make it. Don't ever use the same IV twice. And never use a constant IV.
The Wikipedia article on initialization vectors provides a general overview.

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