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96

The main difficulty with the one-time pad is that it requires pre-arrangement. In order for me to use a one-time pad to communicate with you, we must either have arranged ahead of time for a one-time pad that we will use (which must be as large as our communication will be), or else we must have some secure way of communicating that will allow us to agree on ...


44

For symmetric encryption algorithms, your question is basically "Why do we use AES or DES rather than another function that provides the same properties as AES or DES but forces us to use the second weakest chaining mode and never lets us use the same key twice?" Well, the answer is obvious, we sometimes want strong chaining modes and we often like to use ...


39

There is a theorem in cryptography that states that secure encryption and secure PRNG are equivalent, and in fact you just proved half of it. Given a secure PRNG, you can create a secure encryption algorithm using the method you just provided (using the key as the PRNG-seed). The other half is that given a secure encryption algorithm, you can create a ...


34

1 - How feasible is it that the chip's manufacturer can predict the output of this PRNG when it passed tests from the people applying the use of this RdRand instruction in kernels? A strong stream cipher's output is random and unpredictable to anyone not knowing the key. See where this is heading? Just because something looks random doesn't mean it's ...


16

I will answer considering Linux OS, as being one of most popular Unix-like OS (between OSes which have urandom). If you need other OS, please, inform me. Also I will answer using source code of random.c driver from Linux 3.3.3 Kernel, because it is one of best documentation of /dev/random mechanics. And the other is paper: Analysis of the Linux Random Number ...


15

Evaluating a TRNG device positively requires knowing its structure, both to evaluate the actual amount of entropy it produces, and the possibility to detect a field failure. Some devices sold as TRNG are in fact a TRNG subsystem followed by a PRNG, which produces the output of the device. In that case, if the PRNG is any good, the output of the device may ...


14

There is a very easy reason why one-time pads are not always used. It requires information sent before the encryption is set up, i.e. both the sender and the recipient need to have access to the pads themselves. That's a big pain, especially if all information was to be sent with one time pads. How would one distribute the pads themselves? There is also a ...


14

No, that would not be a true RNG, because these physics engines would just repeat the exact same calculation and thus repeat the whole sequence of random numbers - like a PRNG. The starting conditions are the seed of this PRNG. Dice are truly random in the real world. Well, are they? If we ignore quantum effects, we could measure all relevant values of the ...


13

If your system already has some other unique user identifier (be it an ID, user-name, or an EmailAddress) is there any effective decrease in your security if you simply use that value as your salt? The salt in a hash actually forms two different purposes. Generally, it is acceptable for a salt to be known, so let us consider H() a hash function, S, some ...


13

Have you heard of the strange story of Dual_EC_DRBG? A random number generator suggested and endorsed by the government that exhibits some very suspicious properties. http://www.schneier.com/blog/archives/2007/11/the_strange_sto.html From that article: This is how it works: There are a bunch of constants -- fixed numbers -- in the standard used to ...


11

For some types of algorithms (or protocols) we only need non-guessable (by the attacker) bits/numbers, not reproducible non-guessable ones (like from a deterministic PRNG). In this cases, "real" random numbers are in theory (i.e. from an information-theoretic point of view, not a cryptographic one) better, since they can't be guessed (or even influenced) by ...


11

There are three general solutions to the non-duplicate random number problem: If you want a few numbers from a large range then pick one and reject it if it is a duplicate. If the range is large, then this won't cause too many repeated attempts. If you want a lot of numbers from a small range, then set out all the numbers in an array and shuffle the array. ...


11

If you are doing things right, then you will get the level of randomness you are after. Translation: you are not doing things right. You use AES with CFB8 mode, which requires a random initial value. The initial value is a 16-byte string which should be generated randomly and uniformly, and a new IV shall be generated for every single encrypted message. ...


11

1 - How feasible is it that the chip's manufacturer can predict the output of this PRNG when it passed tests from the people applying the use of this RdRand instruction in kernels? As nightcracker correctly stated, any strong cryptographic PRNG will produce a stream of numbers that pass statistical tests. However, the manufacturer has some constraints: ...


10

Randomness is not a property of strings of bits (or characters of any sort). Rather it is a property of the process that generates those strings. However, it is convenient to conflate the string with the thing that produced the string, and thus to speak about strings being “random” or “not random”. The string 00000, for example, is random if it was the ...


9

Bill is right. To give you a short answer to your question: The common notion of entropy is the notion of Shannon entropy. The Shannon entropy $H(x)$ of a value $x$ that occurs with probability $Pr[x]$ is $H(x) = -log_2(Pr[x])$ you can interpret this as the uncertainty about $x$ knowing only the distribution according to which $x$ is chosen. For the case ...


9

The bits are not independent from each other, at least within an individual song, so the pad is not truly random, thus this is not a one-time-pad. Perhaps a hash-based approach would fix this, but... ... there are a limited number of songs available, a simple attack would then be to enumerate every song (in the same format you describe) and try to decrypt a ...


8

Salts must be unique. Randomness (with a "good" random generator) is sufficient to ensure uniqueness. A per-user ID (e.g. the user login name) is not sufficient for uniqueness, because it does not capture some occurrences which do happen in practice: two users on two distinct systems (running the same software) which share the same ID (how many Joes and ...


8

One rationale for avoiding randomized schemes in general, and in MACs in particular, is that the random in such schemes tends to increases the size of cryptograms or reduce the size of the payload. An example is scheme 2 in ISO/IEC 9796-2 RSA signature with message recovery, where the size of the random/salt field is directly antagonist with the amount of ...


8

A good block cipher should be indistinguishable from a random permutation (otherwise it is considered broken). A consequence of this is that two good block ciphers are indistinguishable from each other (with at most a doubling of the adversary's advantage). In your scenario, it means that finding a way to succeed in learning which algorithm has been used ...


8

I am the designer of the random number generator that is behind the Intel RdRand instruction. How feasible is it that the chip's manufacturer can predict the output of this PRNG when it passed tests from the people applying the use of this RdRand instruction in kernels? It isn't. We cannot. It passes the tests because it is a cryptographically ...


7

An alternative: Client generates preliminary keypair $(t, T)$ with $T=tB$ Clients sends $T$ to server Server sends a random scalar $n$ back(alternatively choose $n = \mathrm{HMAC}(k, T)$ with secret key $k$), and assigns the public key $A = T + nB$ to the client Client uses $a = t+n$ as private and $A$ as public key. That way the server decides the ...


7

Note that a block cipher is not an encryption algorithm. It's a building block. To get encryption you need a mode-of-operation that uses that block cipher. For example CBC-AES128 (and even here, it's not clear how the IV is being generated). Many encryption algorithms overtly leak their identity. Some have packaging, they put the IV in a weird place, ...


7

There is no such method. The only reliable way to "fix" a backdoored RNG is to mix its output with another, secure RNG. Specifically, let's consider a backdoor similar to that described by Becker et al. (2013), which essentially transforms the Intel TRNG into a deterministic PRNG using AES in OFB mode, with a 32-bit initial seed (occasionally reseeded) and ...


7

I would characterize the service as similar to a trusted time-stamping service. Except they do not do the time-stamping, but just provide the "key". This allows a user to decide what do to with it, such as using it as a private key to sign something, or an HMAC key, proving the signature is "not older" than the timestamp. If the signature is published to a ...


7

The problem with questions that ask for “the fastest” is, that such questions always raise the counter-question: compared to what exactly? Also, your question doesn’t specify if you mean cryptographically secure physical random number generators, or any physical random number generator. Anyway… 400 Mbps doesn’t really come anywhere near the word “fastest”. ...


6

Presuming this documentation is correct, the answer is no, these numbers are not cryptographically secure. The Random class uses a linear congruential formula with a 48 bit seed. For most purposes it is not enough even if you only require 48 bit security. Given a fairly low number of outputs from a LCG, it is possible to derive the seed, even if only a few ...



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