Mixed Congruential Random Number Generators for Binary Machines
Journal of the ACM (JACM)
Uniform Random Number Generators
Journal of the ACM (JACM)
Fourier Analysis of Uniform Random Number Generators
Journal of the ACM (JACM)
Testing a random number generator
Communications of the ACM
Communications of the ACM
A new uniform pseudorandom number generator
Communications of the ACM
Shift Register Sequences
A comparative analysis of two concepts in the generation of uniform pseudo-random numbers
ACM '67 Proceedings of the 1967 22nd national conference
Walsh-spectral test for GFSR pseudorandom numbers
Communications of the ACM
The multiple prime random number generator
ACM Transactions on Mathematical Software (TOMS)
The Runs Up-and-Down Performance of Tausworthe Pseudo-Random Number Generators
Journal of the ACM (JACM)
Generalized Feedback Shift Register Pseudorandom Number Algorithm
Journal of the ACM (JACM)
Partitioning the Period of a Class of m-Sequences and Application to Pseudorandom Number Generation
Journal of the ACM (JACM)
ACM Computing Surveys (CSUR)
General random number generator [G5]
Communications of the ACM
Algorithm 371: Partitions in natural order [A1]
Communications of the ACM
Fortran Tausworthe pseudorandom number generator
Communications of the ACM
Letters to the editor: on the multidimensional uniformity of pseudorandom generators
Communications of the ACM
A few more trouble spots in ALGOL 60
Communications of the ACM
Microprogramming for probability distribution sampling
ACM '72 Proceedings of the ACM annual conference - Volume 1
Fast hardware random number generator for the Tausworthe sequence
ANSS '83 Proceedings of the 16th annual symposium on Simulation
ANSS '81 Proceedings of the 14th annual symposium on Simulation
The Autocorrelation Structure of Tausworthe Pseudorandom, Number Generators
IEEE Transactions on Computers
Cryptography using modular software elements
AFIPS '76 Proceedings of the June 7-10, 1976, national computer conference and exposition
A pseudo-random number generator for the System/360
IBM Systems Journal
Hi-index | 48.31 |
Hutchinson states that the “new” (prime modulo) multiplicative congruential pseudorandom generator, attributed to D.H. Lehmer, has passed the usual statistical tests for random number generators. It is here empirically shown that generators of this type can produce sequences whose autocorrelation functions up to lag 50 exhibit evidence of nonrandomness for many multiplicative constants. An alternative generator proposed by Tausworthe, which uses irreducible polynomials over the field of characteristic two, is shown to be free from this defect.The applicability of these two generators to the IBM 360 is then discussed. Since computer word size can affect a generator's statistical behavior, the older mixed and simple congruential generators, although extensively tested on computers having 36 or more bits per word, may not be optimum generators for the IBM 360.