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The serial test for pseudo-random numbers generated by the linear congruential method

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-94-009-7840-9_25openalex-snapshot
Statistical Tests for Tausworthe Pseudo-Random Numbers
inferredcites →https://doi.org/10.1007/bf01937326openalex-snapshot
Optimal multipliers for pseudo-random number generation by the linear congruential method
inferredcites →https://doi.org/10.1016/0001-8708(77)90028-7openalex-snapshot
Pseudo-random numbers and optimal coefficients
inferredcites →https://doi.org/10.1016/0016-0032(60)90676-1openalex-snapshot
An introduction to the theory of numbers
inferredcites →https://doi.org/10.1017/s0025557200071461openalex-snapshot
An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14472-3openalex-snapshot
The serial test for linear congruential pseudo-random numbers
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14532-7openalex-snapshot
Quasi-Monte Carlo methods and pseudo-random numbers
inferredcites →https://doi.org/10.1090/s0025-5718-1971-0298727-8openalex-snapshot
Pseudo-Random Numbers: The Exact Distribution of Pairs
inferredcites →https://doi.org/10.1090/s0025-5718-1972-0326979-5openalex-snapshot
On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0457391-8openalex-snapshot
On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. II
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0457392-1openalex-snapshot
On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. III

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4612-2552-2_5openalex-snapshot
New Developments in Uniform Pseudorandom Number and Vector Generation
inferred← citeshttps://doi.org/10.1007/978-1-4757-2553-7_7openalex-snapshot
Generating Pseudorandom Numbers
inferred← citeshttps://doi.org/10.1007/978-3-030-13393-1_3openalex-snapshot
Pseudo-Random Numbers and Congruential Methods
inferred← citeshttps://doi.org/10.1007/978-3-0348-6303-2_22openalex-snapshot
Quasi-Random Sequences in Numerical Practice
inferred← citeshttps://doi.org/10.1007/978-3-0348-6398-8_15openalex-snapshot
Quasi-Monte Carlo Methods for Multidimensional Numerical Integration
inferred← citeshttps://doi.org/10.1007/978-3-319-22321-6_5openalex-snapshot
Pseudorandom Numbers
inferred← citeshttps://doi.org/10.1007/978-3-642-48417-9_4openalex-snapshot
Pseudorandom Number Generators
inferred← citeshttps://doi.org/10.1007/978-3-642-48850-4_2openalex-snapshot
Special methods for pseudorandom number generation
inferred← citeshttps://doi.org/10.1007/bf01294651openalex-snapshot
Point sets and sequences with small discrepancy
inferred← citeshttps://doi.org/10.1007/bf01298835openalex-snapshot
Statistical independence of nonlinear congruential pseudorandom numbers
inferred← citeshttps://doi.org/10.1007/bf01765947openalex-snapshot
Optimal coefficients modulo prime powers in the three-dimensional case
inferred← citeshttps://doi.org/10.1007/bf02136827openalex-snapshot
Uniform random number generation
inferred← citeshttps://doi.org/10.1007/bf02204856openalex-snapshot
Recent trends in random number and random vector generation
inferred← citeshttps://doi.org/10.1007/bf02568342openalex-snapshot
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II
inferred← citeshttps://doi.org/10.1007/bf02568399openalex-snapshot
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus
inferred← citeshttps://doi.org/10.1007/bf02925329openalex-snapshot
On the autocorrelation structure of inversive congruential pseudorandom number sequences
inferred← citeshttps://doi.org/10.1007/bfb0079792openalex-snapshot
Deterministic and Stochastic Error Bounds in Numerical Analysis
inferred← citeshttps://doi.org/10.1007/bfb0096988openalex-snapshot
Pseudorandom numbers generated from shift register sequences
inferred← citeshttps://doi.org/10.1007/bfb0121112openalex-snapshot
Multidimensional numerical integration using pseudorandom numbers
inferred← citeshttps://doi.org/10.1016/0167-6377(86)90092-1openalex-snapshot
On the adequacy of pseudo-random number generators (or: How big a period do we need?)
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90345-zopenalex-snapshot
Statistical independence properties of pseudorandom vectors produced by matrix generators
inferred← citeshttps://doi.org/10.1016/0377-0427(91)90046-mopenalex-snapshot
On the discrepancy of quadratic congruential pseudorandom numbers
inferred← citeshttps://doi.org/10.1016/0895-7177(96)00040-4openalex-snapshot
Variants of the Koksma-Hlawka inequality for vertex-modified quasi-Monte Carlo integration rules
inferred← citeshttps://doi.org/10.1016/j.compind.2022.103613openalex-snapshot
An effective intrusion-resilient mechanism for programmable logic controllers against data tampering attacks
inferred← citeshttps://doi.org/10.1090/s0025-5718-1989-0971407-2openalex-snapshot
The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
inferred← citeshttps://doi.org/10.1090/s0025-5718-1990-0993929-9openalex-snapshot
Multiplicative congruential random number generators with modulus 2^{𝛽}: an exhaustive analysis for 𝛽=32 and a partial analysis for 𝛽=48
inferred← citeshttps://doi.org/10.1090/s0025-5718-1990-0995212-4openalex-snapshot
Lattice Rules for Multiple Integration and Discrepancy
inferred← citeshttps://doi.org/10.1090/s0025-5718-1990-1023766-0openalex-snapshot
Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers
inferred← citeshttps://doi.org/10.1090/s0025-5718-1993-1159168-9openalex-snapshot
Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers
inferred← citeshttps://doi.org/10.1090/s0025-5718-1995-1265018-4openalex-snapshot
Pseudorandom Vector Generation by the Multiple-Recursive Matrix Method
inferred← citeshttps://doi.org/10.1137/1036002openalex-snapshot
Quasi-Random Methods for Estimating Integrals Using Relatively Small Samples
inferred← citeshttps://doi.org/10.1145/132277.132278openalex-snapshot
A new inversive congruential pseudorandom number generator with power of two modulus
inferred← citeshttps://doi.org/10.1145/174619.174622openalex-snapshot
On the statistical independence of nonlinear congruential pseudorandom numbers
inferred← citeshttps://doi.org/10.1145/22721.356187openalex-snapshot
Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators
inferred← citeshttps://doi.org/10.1214/22-ss136openalex-snapshot
A brief and understandable guide to pseudo-random number generators and specific models for security
inferred← citeshttps://doi.org/10.2307/1403647openalex-snapshot
Inversive Congruential Pseudorandom Numbers: A Tutorial
inferred← citeshttps://doi.org/10.4064/aa133-2-2openalex-snapshot
Pseudorandom sequences of binary vectors
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