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Xorshift random number generators, also called shift-register generators, are a class of pseudorandom number generators that were invented by George Marsaglia. [ 1] They are a subset of linear-feedback shift registers (LFSRs) which allow a particularly efficient implementation in software without the excessive use of sparse polynomials. [ 2]
The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto (松本 眞) and Takuji Nishimura (西村 拓士). [ 1][ 2] Its name derives from the choice of a Mersenne prime as its period length. The Mersenne Twister was designed specifically to rectify most of the flaws found in older PRNGs.
Example: 100P can be written as 2(2[P + 2(2[2(P + 2P)])]) and thus requires six point double operations and two point addition operations. 100P would be equal to f(P, 100). This algorithm requires log 2 (d) iterations of point doubling and addition to compute the full point multiplication. There are many variations of this algorithm such as ...
The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation.
Blum Blum Shub ( B.B.S.) is a pseudorandom number generator proposed in 1986 by Lenore Blum, Manuel Blum and Michael Shub [ 1] that is derived from Michael O. Rabin 's one-way function. 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 xn+1; the ...
A Swiss postal barcode encoding "RI 476 394 652 CH" in Code 128 (B & C) Code 128 is a high-density linear barcode symbology defined in ISO/IEC 15417:2007. [ 1] It is used for alphanumeric or numeric-only barcodes. It can encode all 128 characters of ASCII and, by use of an extension symbol (FNC4), the Latin-1 characters defined in ISO/IEC 8859 ...
A Delaunay triangulation in the plane with circumcircles shown. In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull [ 1] into triangles whose circumcircles do not contain any of the points. This maximizes the size of the smallest angle in any of the triangles ...
Elliptic-curve Diffie–Hellman ( ECDH) is a key agreement protocol that allows two parties, each having an elliptic-curve public–private key pair, to establish a shared secret over an insecure channel. [ 1][ 2][ 3] This shared secret may be directly used as a key, or to derive another key. The key, or the derived key, can then be used to ...