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8

I would like to ask if that is true for every AES CTR mode implementation?, Doesn't have to be. You can store the nonce anywhere. You could even send it to the recipient via a different channel (e.g., email the ciphertext and use SMS to transmit the nonce). Storing it at the beginning has its advantages. For example, if streaming the data, you can ...


7

There are probably quite a few good reasons for this, although I don't expect that a scientific answer can be composed (as you would need to use a survey, and I've never heard of such a thing for modes of operation). Let me list a few possible reasons: Developers don't know about CTR mode of operation; most questions on StackOverflow are about ECB and CBC ...


6

AES-CTR is a stream cipher, of a particular kind where the keystream is obtained by encryption of a counter. So the question reduces to: what are drawbacks of AES-CTR compared to other stream ciphers? The main ones compared to ChaCha20 are: Without hardware support, AES can fail to cache-timing attacks. Without hardware support, AES is slower. Without ...


6

It is not accurate to say that the keystream from AES-CTR is a pseudorandom function. However, it is a pseudorandom generator. Furthermore, the construction that you gave is close to working but it's unclear where the key fits in. I will therefore elaborate on what we can exactly say. Let $F$ be a pseudorandom function, and for simplicity assume that the ...


5

No. There is a difference between the type of a cipher and the construction of a cipher. If a cipher is of a specific type for which there are known IND-CPA secure constructions then that doesn't mean that an entirely different construction is secure. There are known attacks on stream ciphers, including "modern" stream ciphers such as RC4. If the generated ...


5

If you want strict indistinguishability, then yes, you need to store the IV (initial counter) somewhere. However, there are some relaxed modes that are used in practice for things like disk encryption, where it is often very useful to decrypt things "in the middle" like you say. For instance, XEX uses a counter which is derived from the sector and offset ...


4

Every paragraph ends with : "this operation is invertible", I suppose the whole salsa20 algorithm is. The Salsa20 quarterround, and thus rowround, columnround and doubleround are invertible. However, the whole Salsa20 core is not because the initial state is added to the state after iterating the rounds (cf. page 6 in the spec). If I use salsa20 ...


4

The sum of PRPs is a secure PRF. That paper gives as a security bound for a sum of two independent PRPs $q^3/2^{2n-1}$, where $q$ is the number of queries and $n$ the block size (i.e. 128 for AES). That means that your construction, correctly used, is more secure than a single PRP, for which the bound is $q^2/2^n$. If you wanted to give an adversary an ...


4

No, this is safe. In fact, if you show a way of distinguish the stream $AES_{k_1}(C) \oplus AES_{k_2}(C)$ from a random stream with fewer than $2^{64}$ outputs, you have just demonstrated a way of distinguishing AES from a random permutation. Here is how this works: suppose we are given Oracle assess to a permutation $P$, which might be $AES_{k_1}$ for ...


4

Like the other answers say, it does not always have to be the case. One other case where it is often not stored is when you have a single use key, for example as part of some hybrid encryption scheme. Then there is no need to use a nonce at all and it is usually taken to have zero value.


4

First, AES-CTR isn't "similar to a stream cipher." It is a stream cipher. That means the real question is "why do we develop new stream ciphers when AES-CTR provides an acceptable one?" The answer is that newer stream ciphers tend to be superior to AES in some way or another. AES is a secure cipher, but it has some bad properties; for instance, it's hard ...


4

There are two well-known Encryption modes, that can construct a $mn$-bit tweakable blockciphers from a $n$-bit blockcipher ($n=64$ for DES) with $1\le m\le n$. The older one is CMC, being not parallelizable. It was superseeded by Encrypt-Mix-Encrypt (EME), which is parallelizable. The basic idea of the two algorithms is to encrypt each block of input data ...


4

Suppose you do CTR mode as: $E(k,nonce+1) \oplus m_1$, $E(k,nonce+2) \oplus m_2$, $E(k,nonce+3) \oplus m_3$, etc. The wikipedia page is talking about a non-random nonce, with a specific example of a packet counter. So suppose $nonce$ is a packet counter and in each packet you encrypt several blocks. You might end up with the following: In packet #$p$: ...


3

In addition to the tweakable enciphering schemes in the comments, I'll leave this reference here: https://eprint.iacr.org/2009/356.pdf It essentially shows (in the ideal cipher model) that using an n-bit block cipher in a three-round Feistel construction gives you a 2n-bit block cipher.


3

A message encrypted with AES-GCM can be decrypted with an AES-CTR library IF the authentication tag is stripped from the message. If you are encrypting with AES-GCM and then adding an HMAC tag, you need to strip the HMAC and the GTAG off the message in order to decrypt it, assuming the IV section of the message is in the correct location for each library to ...


3

How does Salsa20 work? The basic building block of salsa20 is a fixed 512 bit permutation. This is similar to a block cipher with a fixed and publicly know key (or a zero bit key if you prefer). Since it has no key input, you can't use it with block cipher modes of operation. The next step in Salsa20 is a feed-forward by adding the input into the output, ...


2

The seed should be the key and the nonce or IV. Those input parameters determine the value of the key stream. Note that the nonce may be implied if the key is not reused, in that case the key may be the only seed, with the nonce having a static value (you should however make sure that you are not vulnerable to multi-target attacks if you use a static IV, see ...


2

Fgrieu has already posted a good answer, which I won't try to repeat. However, here are a few additional observations: For an embedded system, you may want to consider using CMAC-AES instead of HMAC, since you can reuse your AES implementation, and don't need a separate hash function. Further consider using SIV mode (RFC 5297). It's very similar to ...


2

I understand the system as follows: data blocks are enciphered per AES-CTR, using key encryption_key, with an IV made by concatenating device_id and a counter held in Flash or EEPROM, incremented at each use; that enciphered data is integrity-protected by a 256-bit mac_tag computed using HMAC-SHA256 and mac_key. That's theoretically sound if device_id ...


2

It doesn't make too much sense at all to send the IV together with the key. The whole idea of an IV is that it is unique per key. But if the key changes value each time, then any IV is unique. So you could use a static IV or even an IV that consists of all zeros. In that case you only need to worry that you don't reuse the key at other locations in the ...


2

No. Indeed, as in the answer by Maarten, it depends on the security and strength of the stream cipher. However, even if the stream cipher is a secure pseudorandom generator (which is its proper modeling), encryption is not necessarily CPA-secure when XORing the pad with the plaintext. This is also explained in great detail in Katz-Lindell. In fact, it is ...


2

Yes there are such schemes. However they aren't standardized by any means yet. The schemes I'm talking about take part in CAESAR-competition. If you wait ~1 week (hopefully) you'll see if any mode / cipher makes in in the second round. This paper provides you with a good overview over the ciphers. The four ciphers you need are: ICEPOLE (Sponge based) ...


2

AES-CTR is very appropriate. Since a credit card number is 16 characters long, it can be encrypted using a single 128-bit block without any encoding. You will only need 1 block, and hence not require a block counter, just the nonce. Depending on the amount of card numbers being stored, you would only need to store a portion of the full nonce. A 32-bit ...


2

To show that a family of functions is not a PRP, you have to either show that the functions are not permutations or that they do not behave pseudo-randomly. As it is already established that the functions are in fact permutation you need to show the latter. For a family of permutations to be a PRP means that it is computationally infeasible to distinguish a ...


2

That might not be speed-efficient, but for educational purpose it is possible to implement the CTR internals manually, by using the ECB mode of CNG: Set the Algorithm mode: BCryptSetProperty(hAesAlg, BCRYPT_CHAINING_MODE, (PBYTE)BCRYPT_CHAIN_MODE_ECB, sizeof(BCRYPT_CHAIN_MODE_ECB), 0) Encrypt all blocks the IV with counter with the key hKey: ...


1

My own two cents on this is that it started with a psychological bias, due to the illusion that AES-ciphering consecutive numbers in CTR mode is a weakness compared to the recursive AES-ciphering in CBC. Actually, I think I remember it was more of less told during that course on Coursera, that a consensus about the inoffensiveness of that counter with regard ...


1

No OFB_DRBG isn't directly vulnerable to attacks. However from a theoretical standpoint there is one point speaking against it and in favor of CTR_DRBG. Speed. CTR can be parallelized (can encrypt counters in parallel), OFB can't (encrypting state over and over again) So the main reason is speed I'd guess and of course adding OFB_DRBG wouldn't have added ...


1

I decided to just implement something that's known to work, namely CTR with HMAC SHA256. So you are implementing your own mode after all? Don't. Combining MAC and encryption is actually tricky. You should use a standard authenticated encryption mode, such as GCM (which is CTR plus MAC done right). From what I understand, I can use the IV as a ...


1

For CBC mode, the IV can be generated in any manner where it would be unpredictable to an attacker from one message to the next. In practice that means a random number generator of some kind. Since the block size is 128-bits, the probability of IV repeat before the key expiration is negligible. The CBC IV is visible to an attacker viewing your ciphertext; as ...


1

I cannot prove that your scheme is secure, but as far as I know, a non-cryptographic hash function would work fine as there is an infinite number of inputs to any given hash, making it impossible to bruteforce all but the shortest messages (which would be an issue for short messages, you may want to append some sort of 128-bit padding). However, that said, ...



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