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CBC does not perform authentication This property makes it less suitable for places where authentication is required, basically any transport protocol. TLS uses CBC, but by default performs authentication over the plain text instead of the ciphertext, which opened up a host of attacks. CBC can be used here, but it is error prone and may require an ...

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The crucial difference between plain encryption and authenticated encryption (AE) is that AE additionally provides authenticity, while plain encryption provides only confidentiality. Let's investigate in detail these two notions. In the further text, we assume $K$ to be a secret key, which is known to authorized parties, but unknown to attackers. Goals ...

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There are some serious problems with this design that would preclude it from being standardized, so it probably does not have a name. The 2 visibly main flaws are as follows: If the plaintext follows a pattern similar to the block counter, the block cipher inputs may repeat, exposing information about the plaintext (exact same issue as reuse of nonce, but ...

9

It is not secure, because an attacker can "mix and match" the output blocks from different authentication tags on different input messages, or repeat output blocks for repeated input blocks. For example, if the attacker knows the tag $F_k(m)$ for a one-block message $m$, then it can forge the correct tag $F_k(m) \mid F_k(m)$ for the two-block message $m ... 7 If the data to protect has no built-in redundancy at all (for example, has each of its bit determined by fair coin toss), there is no way to protect integrity without expansion (Proof sketch: there are as many distinct possibilities for valid plaintext as there as possibilities for valid enciphered-and-protected data, hence every possible ... 7 The other answer is correct in general. However, if your messages are all exactly one block long (or all one block after padding), ECB is a secure MAC. A PRP looks like a PRF up to half its bit length, i.e. up to$2^{64}$blocks for AES. A secure PRF is a secure MAC of the same size. Thus, AES ECB used on 128-bit messages is a secure MAC as long as you use ... 7 First, the fact that the data is "easy" to guess (in the sense that an attacker has a one-in-2^32 or a one-in-2^64 chance of guessing correctly) doesn't mean much if the attacker has no way of checking if his guess is correct. Or at least, it's not a problem with the cryptography. Second, even if he does have that ability, the problem of protecting your ... 7 There are several scenarios where you wouldn’t want to use AES in CBC mode. In CBC mode, each block is dependent on a previous one. As @fgrieu nicely hinted at in his comment, using CBC means that if you have a large, encrypted file and you only want to update/change/modify a tiny fraction of it, you would have to follow the decrypt-modify-encrypt path each ... 7 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 ... 6 Short answer: There would be nothing (that isn't already wrong with TLS) necessarily wrong with a CTR + HMAC cipher suite, but the technical merits are only one factor in a technical feature getting to RFC status in the TLS working group. Without being discourteous to the TLS Working Group (WG) participants or process, other reasons can be: political ... 6 The point of the IV is to prevent the same (key,IV) from ever being used for two different messages in practice. This is an absolute requirement for stream ciphers or block cipher modes such as CTR that are effectively stream ciphers, because re-using the same (key,IV) pair lets an eavesdropper trivially obtain the XOR of two plaintext messages, which means ... 5 With CBC mode the initialization vector is referred to as IV, because it is not nonce. There are ways to construct nonce so that it does not meet the needs of CBC mode. Random IV is one generation choice which is usually fine. Nonce can also be a counter, which is not ok here. Definitions Nonce means number used once. IV means initialization vector. CBC ... 5 The reference for this is NIST SP800-38A, especially its appendix B. Basically we consider the IV a binary value of the width of the block cipher (64-bit for DES, 128-bit for AES), and add 1 to that, except for one detail: there is no carry at some application-specified rank, defining the maximum number of blocks that can be enciphered with a single IV; if ... 5 Absolutely. The key point is that, whilst in CBC mode, the encryption can be thought of as using the previous ciphertext as the IV - have a look at this diagram from wikipedia: I assume from what you've said that you have a function that will "do" AES-CBC decryption on large amounts of data, and you wish to use this. So, you simply run:$$D_k^{IV}(c_1\ ... 5 GCM Personally, I would go for GCM (Galois Counter Mode) since it is efficient – meaning: it handles pretty much everything you’ld expect from it, while other modes sometimes tend to lack a specific feature here and there (see image below for a comparison that shows what I’m hinting at). Also, GCM has a pretty good performance (assuming non-flawed ... 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 AES-GCM uses single block cipher operation and can be processed in parallel, therefore it should be faster. CTR+HMAC requires block cipher and hash function, which usually can't be processed in parallel. Also it requires 2 keys. It is often miss-implemented (MAC-than-encrypt or MAC-and-encrypt, using single key). Cipher-text length is the same for same ... 4 You basically want a full disk encryption mode for a block cipher; XTS mode seems to be the current standard. In your case each "disk block" is actually a file offset. Note that using a stream cipher or counter mode is NOT secure if the data is ever modified in the file, as it would violate the cardinal sin of using the same key and initialization vector to ... 4 Encrypting big amounts of data is no problem for block cipher - if you remember a few important things. You can't encrypt plaintext which is bigger than the block size. You need to do some addition work. Most cipher operation modes first divide the plaintext into blocks of the size of the cipher. Now you can do different things: How about just encrypting ... 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. 3 A better way to solve your problem is: on the server, encrypt the document under a document encryption key (a unique key that's specific to that document). The document remains encrypted in storage encrypted under this document key. When a client requests the document, send the client a copy of the encrypted document, as well as an encryption of the ... 3$GF(2^{128})$is a finite field with$2^n$elements. There are a number of ways to represent this field. For example, a binary vector of length 128, or polynomials of degree 127 where the coefficients are 0 or 1. You could even choose to represent them as integers between$0$and$2^{128}-1$. These are the elements of the finite field. In addition to the ... 3 Encryption modes have lots of differences. Putting all of them in a table would be tricky. I would recommend you to do some work and read through the NIST documentation on Block cipher modes. If you are unsure and you don't have particular requirements, you could check if GCM mode is available. It is an authenticated mode that also provides the ... 3 There is not much difference and in practice the terms are often used to mean the same thing. In this context however the Nonce does not have to keep to the random properties that the IV has. As explained in the paper: A probabilistic encryption scheme$C = \varepsilon^R_K (P)$is an IV-based encryption scheme, syntactically, but we are suggesting that, ... 3 That is the general idea of it yes. Some modes of operation (eg CTR) work in such a way that only known values are ever encrypted, forming a stream of pseudo-random data that is then combined with the plaintext by a keyless reversible operation (often xor) to form the ciphertext. Other modes (eg CBC) directly encrypt secret (ie plaintext) values, meaning ... 3 When we transmit information across an insecure channel, we wish for our data to be secure. So, what does this mean? To discuss these we'll use the standard cryptographic situation of Alice and Bob. Alice wants to send something (the plaintext) across an insecure channel (what this means will be discussed) to Bob. This channel will be listened to by Eve ... 3 The catch how ever is that if a small part of the file is given along with the location of that bytes from the beginning of the file we should be able to decrypt just that piece. Normal CTR mode encryption allows one to decrypt any block of the file independent of the rest, so no need to invent your own mode. With AES the block size is always 128 bits, ... 3 In CTR, you can use any operation which has a full cycle through the space of the IV with the counter. You could use the plus operator like the example:$69dda8455c7dd4254bf353b773304eec + 1 = 69dda8455c7dd4254bf353b773304eed\$ To calculate the next value, just again add 1. You could also use a increasing counter and xor it with the original IV: ...

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I would pick EAX as it is by far the simplest to implement and therefore to understand and audit. It is reasonably fast if based on AES. GCM seems quite popular, but I personally see a number of issues with it: it is very difficult to implement in software (which is not surprising, since it was developed with hardware in mind). it is slower than it seems ...

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No, usually you are required to use hybrid cryptography. ECB, CBC etc. are defined for block ciphers. Although you could possibly apply them to asymmetric cryptosystems, it would make little sense: performing sequential asymmetric cryptography is not efficient, block ciphers are much more efficient in general there will be a lot of overhead per block, ...

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