A Software Library in ANSI C for Empirical Testing of Random Number Generators
暂无分享,去创建一个
[1] Vincent Rijmen,et al. The Design of Rijndael , 2002, Information Security and Cryptography.
[2] Pierre L'Ecuyer,et al. Distribution properties of multiply-with-c arry random number generators , 1997, Math. Comput..
[3] Pierre L'Ecuyer,et al. A random number generator based on the combination of four LCGs , 1997 .
[4] Stephen Wolfram,et al. Theory and Applications of Cellular Automata , 1986 .
[5] Jürgen Eichenauer-Herrmann. Modified explicit inversive congruential pseudorandom numbers with power of 2 modulus , 1996, Stat. Comput..
[6] Masanori Fushimi. Increasing the Orders of Equidistribution of the Leading Bits of the Tausworthe Sequence , 1983, Inf. Process. Lett..
[7] A. De Matteis,et al. A class of parallel random number generators , 1990, Parallel Comput..
[8] Pierre L'Ecuyer,et al. Tables of maximally equidistributed combined LFSR generators , 1999, Math. Comput..
[9] William H. Press,et al. Numerical recipes in C , 2002 .
[10] Elwyn R. Berlekamp,et al. Algebraic coding theory , 1984, McGraw-Hill series in systems science.
[11] James L. Massey,et al. Shift-register synthesis and BCH decoding , 1969, IEEE Trans. Inf. Theory.
[12] Stefan Wegenkittl,et al. A survey of quadratic and inversive congruential pseudorandom numbers , 1998 .
[13] Pierre L'Ecuyer,et al. Software for uniform random number generation: distinguishing the good and the bad , 2001, Proceeding of the 2001 Winter Simulation Conference (Cat. No.01CH37304).
[14] Pierre L'Ecuyer,et al. Combined Multiple Recursive Random Number Generators , 1995, Oper. Res..
[15] G. S. Fishman. Multiplicative congruential random number generators with modulus 2^{}: an exhaustive analysis for =32 and a partial analysis for =48 , 1990 .
[16] Stephens Ma. Statistics connected with the uniform distribution: percentage points and application to testing for randomness of directions. , 1966 .
[17] RECURRING-WITH-CARRY SEQUENCES , 1995 .
[18] Glyn Carter,et al. Aspects of local linear complexity , 1989 .
[19] Pierre L'Ecuyer,et al. Efficient and portable combined Tausworthe random number generators , 1990, TOMC.
[20] M. Luescher,et al. A Portable High-quality Random Number Generator for Lattice Field Theory Simulations , 1993 .
[21] S. K. Park,et al. Random number generators: good ones are hard to find , 1988, CACM.
[22] G. S. Fishman. Principles of Discrete Event Simulation , 1978 .
[23] R. Wikramaratna. ACORN-A new method for generating sequences of uniformly distributed Pseudo-random Numbers , 1989 .
[24] Pierre L'Ecuyer,et al. A search for good multiple recursive random number generators , 1993, TOMC.
[25] Pierre L'Ecuyer,et al. Uniform random number generation , 1994, Ann. Oper. Res..
[26] F. James,et al. RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Lüscher , 1994 .
[27] Jürgen Lehn,et al. On the structure of quadratic congruential sequences , 1987 .
[28] A. Rukhin,et al. Statistical Testing of Random Number Generators , 1999 .
[29] Michael Mascagni,et al. SPRNG: A Scalable Library for Pseudorandom Number Generation , 1999, PP.
[30] P. Bickel,et al. Sums of Functions of Nearest Neighbor Distances, Moment Bounds, Limit Theorems and a Goodness of Fit Test , 1983 .
[31] Pierre L'Ecuyer,et al. Sparse Serial Tests of Uniformity for Random Number Generators , 1998, SIAM J. Sci. Comput..
[32] Ueli Maurer,et al. A universal statistical test for random bit generators , 1990, Journal of Cryptology.
[33] Jürgen Eichenauer-Herrmann,et al. A new inversive congruential pseudorandom number generator with power of two modulus , 1992, TOMC.
[34] Pierre L'Ecuyer,et al. Testing random number generators , 1992, WSC '92.
[35] Frank Emmerich,et al. Equidistribution properties of quadratic congruential pseudorandom numbers , 1997 .
[36] Pierre L'Ecuyer,et al. Efficient and portable combined random number generators , 1988, CACM.
[37] Pierre L'Ecuyer,et al. Linear recurrences with carry as uniform random number generators , 1995, WSC '95.
[38] Vattulainen,et al. Physical tests for random numbers in simulations. , 1994, Physical review letters.
[39] Averill M. Law,et al. Simulation Modeling and Analysis , 1982 .
[40] Pierre L'Ecuyer,et al. Beware of linear congruential generators with multipliers of the form a = ±2q ±2r , 1999, TOMS.
[41] Elaine B. Barker,et al. A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .
[42] I. Good. The serial test for sampling numbers and other tests for randomness , 1953, Mathematical Proceedings of the Cambridge Philosophical Society.
[43] Noel A Cressie,et al. The asymptotic-distribution of the scan statistic under uniformity , 1980 .
[44] W. H. Payne,et al. Coding the Lehmer pseudo-random number generator , 1969, CACM.
[45] Shu Tezuka,et al. On the lattice structure of the add-with-carry and subtract-with-borrow random number generators , 1993, TOMC.
[46] George Marsaglia. Note on a Proposed Test for Random Number Generators , 1985, IEEE Transactions on Computers.
[47] J. Wolfowitz,et al. The Covariance Matrix of Runs Up and Down , 1944 .
[48] Richard P. Brent,et al. Note on Marsaglia's Xorshift Random Number Generators , 2004 .
[49] G. Marsaglia,et al. Monkey tests for random number generators , 1993 .
[50] George Marsaglia,et al. Toward a universal random number generator , 1987 .
[51] Gordana Ugrin-Sparac,et al. Stochastic investigations of pseudo-random number generators , 1991, Computing.
[52] T. Ala‐Nissila,et al. Physical models as tests of randomness. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[53] M. Z. Wang. Linear Complexity Profiles and Jump Complexity , 1997, Inf. Process. Lett..
[54] Jean-Sébastien Coron,et al. An Accurate Evaluation of Maurer's Universal Test , 1998, Selected Areas in Cryptography.
[55] Leonidas J. Guibas,et al. Periods in Strings , 1981, J. Comb. Theory, Ser. A.
[56] D. M. Titterington,et al. A comparison of two statistics for detecting clustering in one dimension , 1995 .
[57] Jürgen Eichenauer-Herrmann,et al. Inversive congruential pseudorandom numbers : a tutorial , 1992 .
[58] P. Hall. On powerful distributional tests based on sample spacings , 1986 .
[59] Abraham Lempel,et al. A universal algorithm for sequential data compression , 1977, IEEE Trans. Inf. Theory.
[60] P. A. W. Lewis,et al. A Pseudo-Random Number Generator for the System/360 , 1969, IBM Syst. J..
[61] Katja Ickstadt,et al. Explicit inversive congruential pseudorandom numbers with power of two modulus , 1994 .
[62] Pierre L'Ecuyer,et al. Random Number Generators: Selection Criteria and Testing , 1998 .
[63] P. L'Ecuyer. Tests based on sum-functions of spacings for uniform random numbers , 1997 .
[64] Guido E. del Pino. On the Asymptotic Distribution of $k$-Spacings with Applications to Goodness-of-Fit Tests , 1979 .
[65] Pierre L'Ecuyer,et al. On the xorshift random number generators , 2005, TOMC.
[66] Yosef S. Sherif,et al. Development of a new composite pseudo random number generator , 1990 .
[67] William H. Press,et al. Portable Random Number Generators , 1992 .
[68] Makoto Matsumoto. Simple cellular automata as pseudorandom m-sequence generators for built-in self-test , 1998, TOMC.
[69] Pierre L'Ecuyer,et al. An Implementation of the Lattice and Spectral Tests for Multiple Recursive Linear Random Number Generators , 1997, INFORMS J. Comput..
[70] G. Marsaglia,et al. A New Class of Random Number Generators , 1991 .
[71] Pierre L'Ecuyer,et al. Tables of linear congruential generators of different sizes and good lattice structure , 1999, Math. Comput..
[72] Helmut Prodinger,et al. Digital Search Trees Again Revisited: The Internal Path Length Perspective , 1994, SIAM J. Comput..
[73] G. Marsaglia,et al. Matrices and the structure of random number sequences , 1985 .
[74] Pierre L'Ecuyer,et al. Random Number Generators and Empirical Tests , 1998 .
[75] Makoto Matsumoto,et al. Twisted GFSR generators , 1992, TOMC.
[76] Peter Hellekalek,et al. Empirical evidence concerning AES , 2003, TOMC.
[77] Paul Bratley,et al. A guide to simulation , 1983 .
[78] Asymptotic efficiencies of spacings tests for goodness of fit , 1989 .
[79] Noel A Cressie,et al. On the logarithms of high-order spacings , 1976 .
[80] Pierre L'Ecuyer,et al. An Object-Oriented Random-Number Package with Many Long Streams and Substreams , 2002, Oper. Res..
[81] Kenneth D. Lawrence,et al. Modern Statistical Systems and GPSS Simulation , 1992 .
[82] S. Tezuka. Uniform Random Numbers: Theory and Practice , 1995 .
[83] P. L’Ecuyer,et al. On the lattice structure of certain linear congruential sequences related to AWC/SWB generators , 1994 .
[84] Edward C. van der Meulen,et al. Entropy-Based Random Number Evaluation , 1995 .
[85] Brian D. Ripley,et al. Thoughts on pseudorandom number generators , 1990 .
[86] Simon Heron,et al. Encryption: Advanced Encryption Standard (AES) , 2009 .
[87] Marco Tomassini,et al. Generating high-quality random numbers in parallel by cellular automata , 1999, Future Gener. Comput. Syst..
[88] Whitlock,et al. Pseudorandom number generator for massively parallel molecular-dynamics simulations. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[89] Pierre L'Ecuyer,et al. On the performance of birthday spacings tests with certain families of random number generators , 2001 .
[90] Antónia Földes,et al. The limit distribution of the length of the longest head-run , 1979 .
[91] S. Wallenstein,et al. Probabilities for the Size of Largest Clusters and Smallest Intervals , 1974 .
[92] Abraham Lempel,et al. Compression of individual sequences via variable-rate coding , 1978, IEEE Trans. Inf. Theory.
[93] J. R. Heringa,et al. Simulation of a directed random-walk model the effect of pseudo-random-number correlations , 1996, cond-mat/9612227.
[94] P. D. Coddington,et al. Analysis of random number generators using Monte Carlo simulation , 1993, cond-mat/9309017.
[95] Ora E. Percus,et al. Random Number Generators for MIMD Parallel Processors , 1989, J. Parallel Distributed Comput..
[96] Asymptotic Results on the Greenwood Statistic and Some of its Generalizations , 1984 .
[97] Stefan Wegenkittl,et al. Inversive and linear congruential pseudorandom number generators in empirical tests , 1997, TOMC.
[98] Pierre L'Ecuyer,et al. Combined generators with components from different families , 2003, Math. Comput. Simul..
[99] Pierre L'Ecuyer,et al. Random numbers for simulation , 1990, CACM.
[100] Maurice G. Kendall,et al. Randomness and Random Sampling Numbers , 1938 .
[101] A. Rukhin. Distribution of the number of words with a prescribed frequency and tests of randomness , 2002, Advances in Applied Probability.
[102] P. L’Ecuyer,et al. Structural properties for two classes of combined random number generators , 1990 .
[103] Takuji Nishimura,et al. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.
[104] David G. Carta,et al. Two fast implementations of the “minimal standard” random number generator , 1990, CACM.
[105] Cleve B. Moler,et al. Numerical computing with MATLAB , 2004 .
[106] Pierre L'Ecuyer,et al. Maximally equidistributed combined Tausworthe generators , 1996, Math. Comput..
[107] Keizo Takashima. LAST VISIT TIME TESTS FOR PSEUDORANDOM NUMBERS , 1996 .
[108] Pierre L'Ecuyer,et al. Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators , 1999, Oper. Res..
[109] Michael S. Waterman,et al. An extreme value theory for long head runs , 1986 .
[110] Makoto Matsumoto,et al. Twisted GFSR generators II , 1994, TOMC.
[111] P. L'Ecuyer,et al. Fast combined multiple recursive generators with multipliers of the form a=/spl plusmn/2/sup q//spl plusmn/2/sup r/ , 2000, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165).
[112] Maurice G. Kendall,et al. Second Paper on Random Sampling Numbers , 1939 .
[113] Robert M. Ziff,et al. Four-tap shift-register-sequence random-number generators , 1998 .
[114] Pierre L'Ecuyer. Efficient and portable 32-bit random variate generators , 1986, WSC '86.
[115] J. P. R. Tootill,et al. An Asymptotically Random Tausworthe Sequence , 1973, JACM.
[116] N. Cressie. An optimal statistic based on higher order gaps , 1979 .
[117] J. Eichenauer-Herrmann. Statistical independence of a new class of inversive congruential pseudorandom numbers , 1993 .
[118] Richard P. Brent,et al. On the periods of generalized Fibonacci recurrences , 1994, ArXiv.
[119] Scott Kirkpatrick,et al. A very fast shift-register sequence random number generatorjournal of computational physics , 1981 .
[120] Alan M. Ferrenberg,et al. Monte Carlo simulations: Hidden errors from "good" random number generators. , 1992, Physical review letters.
[121] Jean-François Cordeau,et al. Close-Point Spatial Tests and Their Application to Random Number Generators , 2000, Oper. Res..
[122] George Marsaglia,et al. A random number generator for PC's , 1990 .
[123] Jürgen Eichenauer-Herrmann,et al. Compound cubic congruential pseudorandom numbers , 1997, Computing.
[124] Dennis K. J. Lin,et al. Random Number Generation for the New Century , 2000 .
[125] S. Wolfram. Statistical mechanics of cellular automata , 1983 .
[126] Robert E. Greenwood. Coupon collector’s test for random digits , 1955 .
[127] Ora E. Percus,et al. Theory and application of Marsaglia's monkey test for pseudorandom number generators , 1995, TOMC.
[128] S. Wolfram. Random sequence generation by cellular automata , 1986 .
[129] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[130] Donald E. Knuth,et al. The art of computer programming. Vol.2: Seminumerical algorithms , 1981 .
[131] Donald Ervin Knuth,et al. The Art of Computer Programming , 1968 .
[132] G. Marsaglia,et al. Some Difficult-to-pass Tests of Randomness , 2022 .
[133] Brian Wichmann,et al. Building a random-number generator , 1987 .
[134] Ronald L. Wasserstein,et al. Monte Carlo: Concepts, Algorithms, and Applications , 1997 .
[135] Naomi S. Altman,et al. Bit-Wise Behavior of Random Number Generators , 1988 .
[136] Wolfgang Hörmann,et al. A portable random number generator well suited for the rejection method , 1993, TOMS.
[137] M. Fushimi. Random number generation with the recursion X t =X t-3p ⊕X t-3q , 1990 .