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Volumn 42, Issue 1-2, 2001, Pages 77-87

On a new class of inversive pseudorandom numbers for parallelized simulation methods

Author keywords

Inversive method; Pseudorandom numbers; Random numbers for parallel processors

Indexed keywords


EID: 0003376026     PISSN: 00315303     EISSN: 15882829     Source Type: Journal    
DOI: 10.1023/a:1015296523748     Document Type: Article
Times cited : (14)

References (13)
  • 1
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  • 2
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    • General discrepancy estimates: The Walsh function system
    • P. HELLEKALEK, General discrepancy estimates: the Walsh function system, Acta Arith. 67 (1994), 209-218.
    • (1994) Acta Arith. , vol.67 , pp. 209-218
    • Hellekalek, P.1
  • 4
    • 0001240132 scopus 로고
    • The structure of linear congruential sequences
    • (S. K. Zaremba, Ed.), Academic Press, New York
    • G. MARSAGLIA, The structure of linear congruential sequences, in Applications of Number Theory to Numerical Analysis (S. K. Zaremba, Ed.), 249-285, Academic Press, New York, 1972.
    • (1972) Applications of Number Theory to Numerical Analysis , pp. 249-285
    • Marsaglia, G.1
  • 5
    • 84968466879 scopus 로고
    • Exponential sums and Goppa codes: I
    • C. J. MORENO AND O. MORENO, Exponential sums and Goppa codes: I, Proc. Amer. Math. Soc. 111 (1991), 523-531.
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 523-531
    • Moreno, C.J.1    Moreno, O.2
  • 7
    • 0039021905 scopus 로고
    • On a new class of pseudorandom numbers for simulation methods
    • H. NIEDERREITER, On a new class of pseudorandom numbers for simulation methods, J. Comp. Appl. Math. 56 (1994), 159-167.
    • (1994) J. Comp. Appl. Math. , vol.56 , pp. 159-167
    • Niederreiter, H.1
  • 8
    • 0030191395 scopus 로고    scopus 로고
    • Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation
    • H. NIEDERREITER, Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation, Finite Fields Appl. 2 (1996), 225-240.
    • (1996) Finite Fields Appl. , vol.2 , pp. 225-240
    • Niederreiter, H.1
  • 9
    • 0007465177 scopus 로고    scopus 로고
    • On the distribution of inversive congruential pseudorandom numbers in parts of the period
    • to appear
    • H. NIEDERREITER AND I. E. SHPARLINSKI, On the distribution of inversive congruential pseudorandom numbers in parts of the period, Math. Comp., to appear.
    • Math. Comp.
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 10
    • 0033164169 scopus 로고    scopus 로고
    • On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
    • H. NIEDERREITER AND I. E. SHPARLINSKI, On the distribution and lattice structure of nonlinear congruential pseudorandom numbers, Finite Fields Appl. 5 (1999), 246-253.
    • (1999) Finite Fields Appl. , vol.5 , pp. 246-253
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 11
    • 0033737044 scopus 로고    scopus 로고
    • On the distribution of pseudorandom numbers and vectors generated by inversive methods
    • H. NIEDERREITER AND I. E. SHPARLINSKI, On the distribution of pseudorandom numbers and vectors generated by inversive methods, Appl. Algebra Engrg. Comm. Comput. 10 (2000), 189-202.
    • (2000) Appl. Algebra Engrg. Comm. Comput. , vol.10 , pp. 189-202
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 12
    • 0002037609 scopus 로고    scopus 로고
    • Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
    • H. NIEDERREITER AND A. WINTERHOF, Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators, Acta Arith. 93 (2000), 387-399.
    • (2000) Acta Arith. , vol.93 , pp. 387-399
    • Niederreiter, H.1    Winterhof, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.