The digital multistep method generates uniform pseudorandom numbers by transforming sequences of integers obtained by multistep recursions. The statistical independence properties of these pseudorandom numbers depend on the characteristic polynomial of the recursion. We describe a method of calculating characteristic polynomials that are optimal with respect to statistical independence of pairs of successive pseudorandom numbers. Tables of such optimal characteristic polynomials for degrees ≤64 are included.

Optimal characteristic polynomials for digital multistep Pseudorandom numbers

Mathematics and Computing: with Fortran Programming. By William S. Dorn and Herbert J. Greenberg. Pp. xvi, 595. 68s. 1967. (Wiley.)

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Mathematics and Computing: with Fortran Programming. By William S. Dorn and Herbert J. Greenberg. Pp. xvi, 595. 68s. 1967. (Wiley.)