The source noise can be obtained algorithmically using, for example, a

congruential generator, or physically, using a semiconductor noise generator.

Linear

congruential generator generates random numbers, which are divided by modulo m and we get bits according to formula (2).

As it is usually implemented, the algorithm is known as a Prime Modulus Multiplicative Linear

Congruential Generator.

As a last resort, Ferrenberg substituted different random-number generators and, to his surprise, found that he came much closer to the correct answer by using a linear

congruential generator, which has known defects.

the multiplier for a Linear

Congruential Generator or the lag for a Lagged Fibonacci Generator).

If a generator is to be adopted as an "industry standard," there is no consensus that it should be a

congruential generator and far from a consensus that it should be [X.

A good

congruential generator could be used to run the casinos in Las Vegas and Atlantic City and all the state lotteries with no one the wiser.

We have used a linear

congruential generator fish by Fishman and Moore [1986], an explicit inversive

congruential generator [Eichenauer-Herrmann 1993], and a twisted GFSR generator (tt800 by Matsumoto and Kurita [1994]); at last the infamous randu (again an LCG) as an example of a generator with bad lattice structure (see Park and Miller [1988]).

Equation (1) defines a linear

congruential generator (LCG) in matrix form.

Wu [1997] proposed a clever-looking way to select the parameters and implement a linear

congruential generator (LCG): take a Mersenne prime modulus m, i.

The BMT uses sine and cosine functions--periodic functions that, when used in conjunction with a linear

congruential generator (LCG) such as the Lehmer generator, produces statistically correlated "random" numbers.

Although R250 passed a number of statistical tests, a recent experience [Selke 1993] showed that R250 gives wrong results for a clustered Monte Carlo simulation, while the multiplicative

congruential generator