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Volumn 10, Issue 3, 2000, Pages 189-202

On the distribution of pseudorandom numbers and vectors generated by inversive methods

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LINEAR EQUATIONS; NORMAL DISTRIBUTION; RANDOM NUMBER GENERATION; THEOREM PROVING; VECTORS;

EID: 0033737044     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000050124     Document Type: Article
Times cited : (27)

References (20)
  • 1
    • 0001357987 scopus 로고
    • The period lengths of inversive pseudorandom vector generations
    • Chou, W.-S.: The period lengths of inversive pseudorandom vector generations. Finite Fields Appl. 1, 126-132 (1995)
    • (1995) Finite Fields Appl. , vol.1 , pp. 126-132
    • Chou, W.-S.1
  • 2
    • 0001512119 scopus 로고
    • Inversive congruential pseudorandom numbers: A tutorial
    • Eichenauer-Herrmann, J.: Inversive congruential pseudorandom numbers: a tutorial. Internat. Statist. Rev. 60, 167-176 (1992)
    • (1992) Internat. Statist. Rev. , vol.60 , pp. 167-176
    • Eichenauer-Herrmann, J.1
  • 3
    • 0001894557 scopus 로고    scopus 로고
    • A survey of quadratic and inversive congruential pseudorandom numbers
    • Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P. (eds.). New York: Springer
    • Eichenauer-Herrmann, J., Herrmann, E., Wegenkittl, S.: A survey of quadratic and inversive congruential pseudorandom numbers. In: Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture Notes in Statistics, Vol. 127, pp. 66-97. New York: Springer 1998
    • (1998) Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture Notes in Statistics , vol.127 , pp. 66-97
    • Eichenauer-Herrmann, J.1    Herrmann, E.2    Wegenkittl, S.3
  • 5
    • 0030363227 scopus 로고    scopus 로고
    • Pseudorandom vector generation by the compound inversive method
    • Emmerich, F.: Pseudorandom vector generation by the compound inversive method. Math. Comp. 65, 749-760 (1996)
    • (1996) Math. Comp. , vol.65 , pp. 749-760
    • Emmerich, F.1
  • 6
    • 0032036141 scopus 로고    scopus 로고
    • Statistical independence properties of inversive pseudorandom vectors over parts of the period
    • Emmerich, F.: Statistical independence properties of inversive pseudorandom vectors over parts of the period. ACM Trans. Modeling and Computer Simulation 8, 140-152 (1998)
    • (1998) ACM Trans. Modeling and Computer Simulation , vol.8 , pp. 140-152
    • Emmerich, F.1
  • 7
    • 0007283834 scopus 로고    scopus 로고
    • Equidistribution properties of compound inversive pseudorandom vectors
    • Emmerich, F.: Equidistribution properties of compound inversive pseudorandom vectors. Finite Fields Appl. 4, 16-28 (1998)
    • (1998) Finite Fields Appl. , vol.4 , pp. 16-28
    • Emmerich, F.1
  • 8
    • 0002528979 scopus 로고    scopus 로고
    • On the distribution of the RSA generator
    • Ding, C.S., Helleseth, T., Niederreiter, H. (eds.). London: Springer
    • Friedlander, J. B., Lieman, D., Shparlinski, I. E.: On the distribution of the RSA generator. In: Ding, C.S., Helleseth, T., Niederreiter, H. (eds.) Proc. SETA '98, pp. 205-212. London: Springer 1999
    • (1999) Proc. SETA '98 , pp. 205-212
    • Friedlander, J.B.1    Lieman, D.2    Shparlinski, I.E.3
  • 11
    • 84957691036 scopus 로고    scopus 로고
    • On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period
    • to appear
    • Gutierrez, J., Niederreiter, H., Shparlinski, I. E.: On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period. Monatsh, Math., to appear
    • Monatsh, Math.
    • Gutierrez, J.1    Niederreiter, H.2    Shparlinski, I.E.3
  • 13
    • 84968466879 scopus 로고
    • Exponential sums and Goppa codes. I
    • Moreno, C. J., Moreno, O.: Exponential sums and Goppa codes. I. Proc. Amer. Math. Soc. 111, 523-531 (1991)
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 523-531
    • Moreno, C.J.1    Moreno, O.2
  • 14
    • 0007281377 scopus 로고
    • Finite fields and their applications
    • Vienna, Stuttgart: Teubner
    • Niederreiter, H.: Finite fields and their applications. In: Contributions to General Algebra 7 (Vienna, 1990), pp. 251-264. Stuttgart: Teubner 1991
    • (1990) Contributions to General Algebra , vol.7 , pp. 251-264
    • Niederreiter, H.1
  • 17
    • 0002360317 scopus 로고
    • New developments in uniform pseudorandom number and vector generation
    • Niederreiter, H., Shiue, P. J.-S. (eds.). New York: Springer
    • Niederreiter, H.: New developments in uniform pseudorandom number and vector generation. In: Niederreiter, H., Shiue, P. J.-S. (eds.) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture Notes in Statistics, Vol. 106, pp. 87-120. New York: Springer 1995
    • (1995) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture Notes in Statistics , vol.106 , pp. 87-120
    • Niederreiter, H.1
  • 19
    • 0033164169 scopus 로고    scopus 로고
    • On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
    • Niederreiter, H., Shparlinski, I. E.: On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Finite Fields Appl. 5, 246-253 (1999)
    • (1999) Finite Fields Appl. , vol.5 , pp. 246-253
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 20
    • 84957621030 scopus 로고    scopus 로고
    • Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus
    • to appear
    • Niederreiter, H., Shparlinski, I. E.: Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus. Acta Arith., to appear
    • Acta Arith.
    • Niederreiter, H.1    Shparlinski, I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.