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  2. Cryptographically secure pseudorandom number generator

    en.wikipedia.org/wiki/Cryptographically_secure...

    In the asymptotic setting, a family of deterministic polynomial time computable functions : {,} {,} for some polynomial p, is a pseudorandom number generator (PRNG, or PRG in some references), if it stretches the length of its input (() > for any k), and if its output is computationally indistinguishable from true randomness, i.e. for any probabilistic polynomial time algorithm A, which ...

  3. Multiply-with-carry pseudorandom number generator - Wikipedia

    en.wikipedia.org/wiki/Multiply-with-carry...

    A linear congruential generator with base b = 2 32 is implemented as + = (+) , where c is a constant. If a ≡ 1 (mod 4) and c is odd, the resulting base-2 32 congruential sequence will have period 2 32.

  4. Marsaglia polar method - Wikipedia

    en.wikipedia.org/wiki/Marsaglia_polar_method

    The Marsaglia polar method [1] is a pseudo-random number sampling method for generating a pair of independent standard normal random variables. [2]Standard normal random variables are frequently used in computer science, computational statistics, and in particular, in applications of the Monte Carlo method.

  5. Sobol sequence - Wikipedia

    en.wikipedia.org/wiki/Sobol_sequence

    A free/open-source implementation in up to 1111 dimensions, based on the Joe and Kuo initialisation numbers, is available in C, [10] and up to 21201 dimensions in Python [11] [12] and Julia. [13] A different free/open-source implementation in up to 1111 dimensions is available for C++ , Fortran 90 , Matlab , and Python .

  6. Full cycle - Wikipedia

    en.wikipedia.org/wiki/Full_cycle

    In a pseudorandom number generator (PRNG), a full cycle or full period is the behavior of a PRNG over its set of valid states. In particular, a PRNG is said to have a full cycle if, for any valid seed state, the PRNG traverses every valid state before returning to the seed state, i.e., the period is equal to the cardinality of the state space.

  7. Universally unique identifier - Wikipedia

    en.wikipedia.org/wiki/Universally_unique_identifier

    For example, the number of random version-4 UUIDs which need to be generated in order to have a 50% probability of at least one collision is 2.71 quintillion, computed as follows: [27] n ≈ 1 2 + 1 4 + 2 × ln ⁡ ( 2 ) × 2 122 ≈ 2.71 × 10 18 . {\displaystyle n\approx {\frac {1}{2}}+{\sqrt {{\frac {1}{4}}+2\times \ln(2)\times 2^{122 ...

  8. Blum Blum Shub - Wikipedia

    en.wikipedia.org/wiki/Blum_Blum_Shub

    Blum Blum Shub takes the form + =, where M = pq is the product of two large primes p and q.At each step of the algorithm, some output is derived from x n+1; the output is commonly either the bit parity of x n+1 or one or more of the least significant bits of x n+1.

  9. Random password generator - Wikipedia

    en.wikipedia.org/wiki/Random_password_generator

    A random password generator is a software program or hardware device that takes input from a random or pseudo-random number generator and automatically generates a password. Random passwords can be generated manually, using simple sources of randomness such as dice or coins , or they can be generated using a computer.