# Questions tagged [pseudo-random-generator]

In cryptography, a pseudo-random generator (PRG) is a deterministic procedure that maps a random seed to a longer pseudo-random string such that no statistical test can distinguish between the output of the generator and the uniform distribution. Pseudo-random generators have numerous applications in cryptography. For instance, pseudo-random generators provide an efficient analog of one-time pads.

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### Why can't we construct a PRG from a one-way function and hc, but only one-way permutation

From Katz & Lindell's book, theorem 7.19: Let f be a one way permutation with hard-core predicate hc. Then the algorithm $G(s)=f(s)||hc(s)$ is a PRG with expansion factor $\ell(n)=n+1$. But what ...
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### Creating a k bit random string

My goal is to create a random $k$ bit string. My question can be divided in two parts. If a $n$ bit string $s$ is computationally indistinguishable from a random $n$ bit string, can we say that the ...
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### Can you help me understand this pseudo random generator example?

I'm new to crypto. I'm learning according to the book "Introduction to Modern Cryptography". I'm having troubles with understanding of PRG and how to prove if some function is PRG or not. I'm trying ...
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### How to contruct a pseudorandom with a specific property

How to construct a pseudorandom function $PRF$ with the following property: Probability that $PRF(k_1,i)=PRF(k_2,i)$ is negligible, for all keys $k_1,k_2$ such that $k_1\neq k_2$ Does the PRF with ...
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### Can I make a PRNG that is secure even when state can be modified by user?

I am interested in making a PRNG which, after being initially seeded, can accept and incorporate client data as the only ongoing source of "entropy". It is not directly for a cryptographic purpose, ...
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### Do any (non-hardware) RNGs exist which could be used to create an OTP for crypto purposes?

I've stumbled (jobwise) over a system where small messages (512 Bytes or less) are encrypted and decrypted using a simple XOR using a OTP. That OTP is created using a seed based on the individual user ...
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### Is it possible to compress random sequence with high entropy

I have an algorithm that generates pseudo random sequence with length of 100k and high entropy. I would like to check the quality of randomness. So, I used a popular software to compress the generated ...
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### Extracting only the entropy

(I cleaned up the question a bit, It was previously titled "extracting entropy without hashing" .. thus some of the comments / answers) I'd like to extract the entropy of data without injecting "...
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### Can you help me with this Random Number Generator function?

By someone's suggestion, I am posting this question from math.stackexchange.com. I want to find out a suitable function or algorithm, which can provide a random sequence like thisā¦ Input: $3$ Output:...
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### Alternatives to Mersenne Twister

We have Mersenne Twister pseudorandom number generator. It has several variants, CryptMT among them, that is of cryptographic grade. There are alternatives to Mersenne Twister, like Xorshift or ...