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Tiger is based on Merkle–Damgård construction.The one-way compression function operates on 64-bit words, maintaining 3 words of state and processing 8 words of data. . There are 24 rounds, using a combination of operation mixing with XOR and addition/subtraction, rotates, and S-box lookups, and a fairly intricate key scheduling algorithm for deriving 24 round keys from the 8 input w
An xorshift+ generator can achieve an order of magnitude fewer failures than Mersenne Twister or WELL. A native C implementation of an xorshift+ generator that passes all tests from the BigCrush suite can typically generate a random number in fewer than 10 clock cycles on x86, thanks to instruction pipelining. [12]
Default generator in R and the Python language starting from version 2.3. Xorshift: 2003 G. Marsaglia [26] It is a very fast sub-type of LFSR generators. Marsaglia also suggested as an improvement the xorwow generator, in which the output of a xorshift generator is added with a Weyl sequence.
The MD5 message-digest algorithm is a widely used hash function producing a 128-bit hash value. MD5 was designed by Ronald Rivest in 1991 to replace an earlier hash function MD4, [3] and was specified in 1992 as RFC 1321.
1,099,511,627,776 bits (128 gibibytes) – estimated capacity of the Polychaos dubium genome, the largest known genome. The storage limit for ATA-1 compliant disks introduced in 1994. 1.6 × 10 12 bits (200 gigabytes) – capacity of a hard disk that would be considered average as of 2008.
Finally, if a cycle length longer than 2 128 is required, the generator can be extended with an array of sub-generators. One is chosen (in rotation) to be added to the main generator's output, and every time the main generator's state reaches zero, the sub-generators are cycled in a pattern which provides a period exponential in the total state ...
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The Paley graph of order 13, a circulant graph formed as the Cayley graph of Z/13 with generator set {1,3,4} A Cayley graph is a graph defined from a pair ( G , S ) where G is a group and S is a set of generators for the group; it has a vertex for each group element, and an edge for each product of an element with a generator.