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- 1
- Bach E. : "How to Generate Factored Random Numbers",
SIAM Journal on Computing, Vol 17, No 2, pp. 179-192, apr. 1988.
- 2
- Bays C. and S. Durham : "Improving Poor Random Number Generator",
ACM Transaction on Mathematical Software, Vol 02, No 1, pp. 59-64,
mar. 1976.
- 3
- Ben-Or M. : "Probabilistic Algorithms In Finite Fields",
IEEE Symposium on the Foundations of Computer Science, 22th SFCS,
p394-398, 1981.
- 4
- Blum M. and S. Micali : "How to Generate Cryptographically
Strong Sequences of Pseudo-random Bits", SIAM J. on Computing,
Vol 13, No 4, pp. 850-864, nov. 1984.
- 5
- Blum L., M. Blum and M. Shub : "Simple Unpredictable Pseudo-random
Number Generator", SIAM Journal on Computing, Vol 15, No
2, pp. 364-383, may. 1986.
- 6
- Boyard J. : "Inferring Sequences Produced by Pseudo Random
Number Generators", Journal of the ACM, Vol 36, No 1, pp.
129-141, jan. 1989.
- 7
- Brown K.S. : "Periods of Fibonacci sequences mod m",
available at http://www.seanet.com/ksbrown/kmath078.htm
- 8
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variate generation", Proc. of the 1992 WSC, pp. 74-81, 1992.
- 9
- Chor B. and O. Goldreich : "Unbiased Bits from Sources of
Weak Randomness and Probabilistic Communication Complexity",
SIAM J. on Computing, Vol 17, No 2, pp. 230-261, apr. 1988.
- 10
- Collings B.J. and G.B. Hembree : "Initializing Generalized
Feedback Shift Registers Pseudorandom Number Generators",
Journal of the ACM, Vol 33, No 4, pp. 707-711, oct. 1986.
- 11
- Compagner A. : "Fast and reliable random-number generation",
Proc of the 1992 WSC, pp. 438-442, 1992.
- 12
- Couture R. and P. L'Ecuyer : "Linear recurrences with carry
as uniform random generators", Proc. of the 1995 WSC, pp. 263-267,
1995.
- 13
- Couture R. and P. L'Ecuyer : "Distribution properties of
multiply-with-carry random number generators", Mathematics
of computation, Vol 66, No 218, pp. 591-607, 1997
- 14
- Coveyou R.R. and R.D. Macpherson : "Fourier analysis of uniform
random number generators", Journal of the ACM, Vol 14, No
1, pp. 100-119, jan. 1967.
- 15
- Deng L.Y. and Y.C. Chu : "On improving pseudo-random number
generators", Proc. of the 1991 WSC, pp. 1035-1042, 1991.
- 16
- Dieter U. : "Statistical interdependence of pseudo-random
numbers generated by the linear congruential method", pp. 287-317
in Applications of Number Theory to Numerical Analysis. Z. K. Zaremba,
Ed., Academic Press, New York, 1972.
- 17
- Durst M.J. : "Using linear congruential generators for parallel
random number generation", Proc. of the 1989 WSC, pp.462-466,
1989.
- 18
- Durstenfeld R. : "Algorithm 235, Random Permutations, Procedure
Shuffle", Communications of the ACM, Vol 07, No 7, pp. 420,
jul. 1964.
- 19
- Etzion T. and A. Lempel : "Algorithm for the Generation of
Full Length Shift Register Sequences", IEEE Transactions
on Information Theory, Vol 30, No 3, pp. 480-484, may. 1984.
- 20
- Fishman G.S. and L.R. Moore : "An exhaustive analysis of
multiplicative congruential random number generators with modulus
2^ 31-1", SIAM J. Sci. Stat. Comput., Vol 7, No 1, pp.
24-45, jan. 1986.
- 21
- Fushimi M. and S. Tezuka : "The k-distribution of generalized
feedback shift register pseudorandom numbers", Communications
of the ACM, Vol 26, No 7, pp. 516-523, jul. 1983.
- 22
- Fushimi M. : "Designing a uniform random number generator
whose subsequences are k-distributed", SIAM J. Comput., Vol
17, No 1, pp. 89-99, feb. 1988.
- 23
- Fushimi M. : "Random number generation on parallel processors",
Proc. of the 1989 WSC, pp. 459-461, 1989.
- 24
- Gallager R.G. : "Variations on a Theme by Huffman",
IEEE Transactions on Information Theory, Vol 24, No 6, pp. 668-674,
nov. 1978.
- 25
- Goldreich O., H. Krawczyck and M. Luby : "On the existence
of pseudo random generators", IEEE Symposium on the Foundations
of Computer Science, 29th SFCS, pp. 12-24, 1988.
- 26
- Hardy G.H. and E.M. Wright : "An introduction to the theory
of numbers, fifth edition". Oxford, 426 p., 1979.
- 27
- Hemmati F. : "Large Class of Non Linear Shift Register Sequences",
IEEE Transactions on Information Theory, Vol 28, No 2, pp. 355-359,
mar. 1982.
- 28
- Knuth D.E. : "The art of computer programming",
Vol 2 : "Semi-numerical Algorithms", 2nd Edition,
Addison-Wesley, Reading, Mass., 1981.
- 29
- Knuth D.E. : "Deciphering Linear Congruential Encryption",
IEEE Transactions on Information Theory, Vol 31, No 1, pp. 49-52,
jan. 1985.
- 30
- L'Ecuyer P. : "An Efficient and Portable Combined Random
Number Generator", Comm. of the ACM, Vol 31, No 6, pp. 742/749,
jun. 1988.
- 31
- L'Ecuyer P. and R. Proulx : "About polynomial-time 'unpredictable'
generators", Proc. of the 1989 WSC, pp. 467-476, 1989.
- 32
- L'Ecuyer P. : "Random number generation for simulations",
Comm. of the ACM, Vol 33, No 10, pp. 86-97, oct. 1990.
- 33
- L'Ecuyer P. : "Testing random number generators",
Proc. of the 1992 WSC, pp. 305-313, 1992
- 34
- L'Ecuyer P. : "Recent advances in uniform random number generation",
Proc. of the 1994 WSC, pp. 122-132, 1994.
- 35
- L'Ecuyer : "Uniform random number generators : a review",
Proc of the 1997 WSC, 8 p., 1997.
- 36
- L'Ecuyer P., A. Compagner and J.F. Cordeau : "Entropy tests
for random number generators", submitted to ACM TOMACS, 1997.
- 37
- L'Ecuyer P. : "Random number generation", chap.
4 of "Handbook of simulation", J. Banks ed, 864
p., J. Wiley & Sons, sep. 1998.
- 38
- Leva J.L. : "A fast normal random number generator",
ACM Trans. on Math. Software, Vol 18, No 4, pp. 449-453, 1992.
- 39
- Lewis T. and W. Payne : "Generalized feedback shift register
pseudo random number algorithms", Journal of the ACM, Vol
20, No 3, pp. 456-468, jul. 1973.
- 40
- MacLaren M. D. and G. Marsaglia : "Uniform random number
generators", J. of the ACM, Vol 12, No 1, pp. 83-89, jan. 1965.
- 41
- Marsaglia G. and T. Bray : "One-line random number generators
and their use in combination", Communications of the ACM,
Vol 11, No 11, pp. 757-759, nov. 1968.
- 42
- Marsaglia G. : "The structure of linear congruential sequences",
pp. 249-285 in Applications of Number Theory to Numerical Analysis.
Z. K. Zaremba, Ed., Academic Press, New York, 1972.
- 43
- Marsaglia G. : "A current view of random number generators",
Proc. of the 16th Symposium on the Interface, 11 p., Atlanta, 1984.
- 44
- Marsaglia G. : "Monkey tests for random numbers generators",
Computers and Mathematics with Applications, Vol 9, pp. 1-10, 1993.
- 45
- Marsaglia G. : "Multiply-with-carry generators",
mwc1.ps in "diehard.zip", 1998.
- 46
- Mertsch M.K. : "On performance analysis and selection criteria
of random number generators for simulations", Telatrafic
Science for New Cost-Effective Systems, Networks and Services, ITC-12,
pp. 1291-1297.
- 47
- Niederreiter H. : "Statistical Analysis of Generalized Feedback
Shift Register Pseudorandom Number Generators", SIAM Journal
on Scientific and Statistical Computing, Vol 08, No 6, pp. 1035-1051,
nov. 1987.
- 48
- Niederreiter H. : "New methods for pseudo-random number and
pseudo-random vector generation", Proc. of the 1992 WSC,
pp. 264-269, 1992.
- 49
- Park S. and K. Miller : "Random Number Generators: Good Ones
Are Hard to Find", Communications of the ACM, Vol 31, No
A, pp. 1192-201, oct. 1988.
- 50
- Reif J.H. and J.D. Tygar : "Efficient Parallel Pseudo Random
Number Generation", SIAM Journal on Computing, Vol 17, No
4, pp. 404-411, apr. 1988.
- 51
- Ritter T. : "The Efficient Generation of Cryptographic Confusion
Sequences", Cryptologia, Vol 15, No 2, pp. 81-139, apr.
1991.
- 52
- Ritter T. : "Substitution Ciphers With Pseudo Random Shuffling:
Dynamic Substitution Combiner", Cryptologia, Vol 14, No 4,
pp. 289-303, oct. 1990.
- 53
- Ritter T. : "Transposition Cipher With Pseudo Random Shuffling:
Dynamic Transposition Combiner", Cryptologia, Vol 15, No
1, pp. 001-016, jan. 1991.
- 54
- Rueppel R.A. and O.J. Staffelbach : "Products of Linear Sequences
With Maximal Complexity", IEEE Transactions on Information
Theory, Vol 33, No 1, pp. 124-131, jan. 1987.
- 55
- Tezuka S. : "Discrepancy of GFSR Pseudo Random Numbers",
Journal of the ACM, Vol 34, No 4, pp. 939-949, oct. 1987.
- 56
- Tezuka S. : "Walsh Spectral Test For GFSR Pseudorandom Numbers",
Communications of the ACM, Vol 30, No 8, pp. 731-735, aug. 1987.
- 57
- Tezuka S. : "Neave effects also occurs with tausworthe sequences",
Proc of the 1991 WSC, pp. 1030-1034.
- 58
- Tezuka S. and P. Lecuyer : "Analysis of add-with-carry and
substract-with-borrow generators", Proc of the 1992 WSC,
pp. 443-447, 1992.
- 59
- Tootill J., W. Robinson and A. Adams : "The runs up-and-down
Performance of Tausworthe pseudo-random Number Generators",
Journal of the ACM, Vol 18, No 3, pp. 381-399, jul. 1971.
- 60
- Tootill J., W. Robinson and D. Eagle : "Asymptotically
Random Tausworthe Sequence", Journal of the ACM, Vol 20,
No 3, pp. 469-481, jul. 1973.
- 61
- Westlake W. : "Uniform Random Number Generator Based on the
Combination of Two Congruential Generators", Journal of the
ACM, Vol 14, No 2, pp. 337-340, avr. 1967.
- 62
- Whittlesey J.R.B. : "On the multidimensional uniformity of
pseudorandom number generators", Communications of the ACM,
Vol 12, No 5, p. 247, may. 1969.
- 63
- -----------------------------
- 64
- Arvillias A.C. and A.E. Maritsas : "Partitioning the period
of m-sequences and applications to pseudorandom number generation",
J. ACM 25, 675-686, (1978).
- 65
- Bright H.J. and R.L. Enison : "Quasi-random number sequences
from a long period TLP generator with remarks on applications to cryptography".
Computing Surveys 11, pp. 357-370, 1979.
- 66
- Brown M. and H. Solomon : "On combining pseudorandom number
generators", Technical Report No. 233, Dept. of Statistics,
Stanford University, 1976. Also Annals of Statistics, Vol 1, pp. 691-695.
*** X W2a18a
- 67
- Compagner A. and A. Hoogland : "Maximum Length Sequences,
Cellular Automata and Random Numbers", Journal on Computational
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- 68
- Collings B.J. : "Compound Random Number Generators",
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- 69
- Goldreich O., S. Goldwasser and S. Micali : "How to Construct
Random Functions", IEEE Symposium on the Foundations of Computer
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- 70
- Hastad J. and A. Shamir : "Cryptographic Security of Truncated
Linearly Related Variables", ACM Symposium on Theory of Computing,
17th STC, pp. 356-362, 1985.
- 71
- Kendall D.G. and B. Babington-Smith : "Randomness and random
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- 72
- Letham L., D. Hoff and A. Folmsbee : "Eprom(128k) Using
Encryption Of Pseudorandom Numbers to Enable Read Access",
IEEE Journal on Solid-State Circuit, Vol 21, No ., pp.881-888, ....
1986.
- 73
- Lewis P.A., A.S. Goodman and J.M. Miller : "A pseudo-random
number generator for the System/360, IBM Syst. J. ,Vol 8, No 2, pp.
136-146, 1969.
- 74
- Marsaglia G. : "Random numbers fall mainly in the planes",
Proceedings National Academy Science 61, pp. 25-28, 1968. ***
X W2a35
- 75
- Marsaglia G. and L. H. Tsay : "Matrices and the structure
of random number sequences", Linear Algebra and Its Applications
67, pp. 147-156, 1985.
- 76
- Marshall A.W., and I. Olkin : "Inequalities: Theory of Majorization
and its Applications", Academic Press, New York, 1979.
- 77
- Meyer C. and S. Matyas : "Cryptography: A New Dimension
in Computer Data Security", Wiley & Sons, 1982.
- 78
- Mitchell D. : "Non Linear Key Generators", Cryptologia,
Vol 14, No ., pp. 350-354, .... 1990.
- 79
- Reeds J. : " Cracking Random Number Generator",
Cryptologia, Vol 01, No 1, pp. 20/26, jan. 1977.
- 80
- Retter C. : "A Key Search Attack on Maclaren Marsaglia Systems",
Cryptologia, Vol 09, No ., pp. l14-130,.... 1985.
- 81
- Retter C. : "Cryptanalysis of a Maclaren Marsaglia System",
Cryptologia, Vol 08, No ., pp. 97 &374, .... 1984.
- 82
- Rubin F. : "Decrypting Stream Cipher Bawd On J-k Flip Flops
(IC-28 P483 -487)", Cryptologia, Vol 05, No 1, pp. 51-57,
jan. 1979.
- 83
- Rubin F. : "Computer Methods for Decrypting Random Stream
Ciphers", Cryptologia, Vol 02, No 3, pp. ... , apr. 1978.
- 84
- Vahle M. and L. Tolendino : " Breaking Pseudo Random Number
Based Cryptographic Algorithm", Cryptologia, Vol 06, No
..., pp. 319-328, .... 1982.
- 85
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2005-01-04