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pseudorandom

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pseudorandom
pseudoˈrandom, a. Math. Also with hyphen. [f. pseudo- + random a.] Satisfying one or more statistical tests for randomness but produced by a definite mathematical procedure.1949 Seminar on Sci. Computation, Nov. (Internat. Business Machines) 104/2 A random number c lying between 0 and 1 is selected ... Oxford English Dictionary
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Pseudorandom ensemble
In cryptography, a pseudorandom ensemble is a family of variables meeting the following criteria: Let be a uniform ensemble and be an ensemble. The ensemble is called pseudorandom if and are indistinguishable in polynomial time. References Goldreich, Oded (2001). wikipedia.org
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Pseudorandom noise
In cryptography, pseudorandom noise (PRN) is a signal similar to noise which satisfies one or more of the standard tests for statistical randomness. A local station generates a pseudorandom bit sequence and transmits it to the remote location (using any modulation technique). wikipedia.org
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Pseudorandom Number Generator Back in the ancient times, we used 997 * modulo 1000000 to generate pseudorandom numbers. Each number became the seed for the next number. It was fast, it wasn't too bad statistically, an...
Yes. If $a_{n+1}=997a_n\bmod 1000000$, then $a_n=444333a_{n+1}\bmod 1000000$. This is because $997\cdot 444333=443000001$. If the last digit of $a_{n+1}$ is unknown, you obtain 10 possible values of $a_n$ accordingly, one differing from the next by $1003$ (why?)
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Pseudorandom permutation
A pseudorandom permutation family is a collection of pseudorandom permutations, where a specific permutation may be chosen using a key. Connections with pseudorandom function Michael Luby and Charles Rackoff showed that a "strong" pseudorandom permutation can be built from a pseudorandom wikipedia.org
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Existence of a normal computable infinite pseudorandom sequence Is there any computable infinite pseudorandom sequence of 0's and 1's which have been proven to be normal?
EDIT: There is some unease here about what exactly is meant by the word, pseudorandom. When in doubt, consult Wikipedia: "Pseudorandom sequences typically exhibit statistical randomness while being generated by an entirely deterministic
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Pseudorandom generator
A pseudorandom generator against a family of adversaries with bias is a family of pseudorandom generators , where is a pseudorandom generator against These pseudorandom generators are sometimes called cryptographically secure pseudorandom generators (CSPRGs). wikipedia.org
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Copula used for pseudo-random generation from continuous variables only? I know multivariate pseudorandom generation from continuous distributions can be done using copulas and inverse transform sampling. The questio...
In principle the inverse transform method can be used for discrete distributions as well. This boils down to first subdividing the interval $[0,1]$, where the sub-intervals are formed according to the distribution function $F_X$ of the target random variable $X$. Then a standard uniform random varia...
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Pseudorandom graph
In graph theory, a graph is said to be a pseudorandom graph if it obeys certain properties that random graphs obey with high probability. Pseudorandom properties were first formally considered by Andrew Thomason in 1987. wikipedia.org
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Is the Legendre symbol with respect to a large prime usable as a pseudorandom generator? Take an output length $\ell$ and a random seed $s \in \Bbb Z_p$ and a large 1000-bit or so prime number $p$ and output the Legen...
"On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol", Mauduit and Sárközy, Acta Arithmetica 1997.
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Pseudorandom generator theorem
pseudorandom, when x is uniformly random. One additional pseudorandom bit implies polynomially more pseudorandom bits It can be shown that if there is a pseudorandom generator Gl: {0,1}l → {0,1 wikipedia.org
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Which cryptographically secure pseudorandom number generator does Debian kernel use? On FreeBSD and recent releases of macOS, Fortuna) is used. What about Debian?
ChaCha20: > In October 2016, with the release of Linux kernel version 4.8, the kernel's /dev/urandom was switched over to a ChaCha20-based cryptographic pseudorandom This is also discussed on the Cryptographically-secure pseudorandom number generator page at Wikipedia.
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Pseudorandom function family
Pseudorandom functions are not to be confused with pseudorandom generators (PRGs). While in practice, block ciphers are used in most instances where a pseudorandom function is needed, they do not, in general, constitute a pseudorandom wikipedia.org
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Pseudorandom generators for polynomials
Pseudorandom generators for low-degree polynomials are a particular instance of pseudorandom generators for statistical tests, where the statistical tests Construction The case corresponds to pseudorandom generators for linear functions and is solved by small-bias generators. wikipedia.org
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What is the role of the "prime" marker on this expression? This expression appears on my cryptography homework: $$G'(k) = G(k \oplus 1^s)$$ It is a description of a Pseudorandom Number Generator where $G:\\{0,1\\}^s...
Given one generator $G \colon \\{0,1\\}^s \to \\{0,1\\}^n$ we define another generator as follows: Given $k$, first swap all bits, that is xor with $1^s$, then apply $G$, as a formula: We define $G'\colon \\{0,1\\}^s \to \\{0,1\\}^n$ by $G'(k) = G(k \oplus 1^s)$. For example: $G'(100) = G(001)$, $G'...
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