메뉴 건너뛰기




Volumn 68, Issue 225, 1999, Pages 249-260

Tables of linear congruential generators of different sizes and good lattice structure

Author keywords

Lattice structure; Linear congruential; Random number generation; Spectral test

Indexed keywords


EID: 0033482534     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-99-00996-5     Document Type: Article
Times cited : (183)

References (20)
  • 2
    • 0039371895 scopus 로고    scopus 로고
    • J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, Grundlehren der Mathematischen Wissenschaften 290, Springer-Verlag, New York, 1988. MR 89a:11067
    • MR , vol.89 A , pp. 11067
  • 3
    • 84966232835 scopus 로고    scopus 로고
    • β: An exhaustive analysis for β = 32 and a partial analysis for β = 48
    • β: An exhaustive analysis for β = 32 and a partial analysis for β = 48, Mathematics of Computation 54 (1990), no. 189, 331-344. MR 91e:65012
    • (1990) Mathematics of Computation , vol.54 , Issue.189 , pp. 331-344
    • Fishman, G.S.1
  • 4
    • 84966232835 scopus 로고    scopus 로고
    • β: An exhaustive analysis for β = 32 and a partial analysis for β = 48, Mathematics of Computation 54 (1990), no. 189, 331-344. MR 91e:65012
    • MR , vol.91 E , pp. 65012
  • 5
    • 0003489634 scopus 로고    scopus 로고
    • Springer Series in Operations Research, Springer-Verlag, New York
    • _, Monte Carlo: Concepts, algorithms, and applications, Springer Series in Operations Research, Springer-Verlag, New York, 1996.
    • (1996) Monte Carlo: Concepts, Algorithms, and Applications
  • 6
    • 0039964240 scopus 로고    scopus 로고
    • MR 97g:65019
    • MR , vol.97 G , pp. 65019
  • 8
    • 85086291679 scopus 로고    scopus 로고
    • 31 - 1, SIAM Journal on Scientific and Statistical Computing 7 (1986), no. 1, 24-45, 1058. MR 87g:65010
    • MR , vol.87 G , pp. 65010
  • 10
    • 0039195347 scopus 로고    scopus 로고
    • D. E. Knuth, The art of computer programming, volume 2: Seminumerical algorithms, second ed., Addison-Wesley, Reading, Mass., 1981. MR 83i:68003
    • MR , vol.83 I , pp. 68003
  • 11
    • 0024029607 scopus 로고    scopus 로고
    • Efficient and portable combined random number generators
    • P. L'Ecuyer, Efficient and portable combined random number generators, Communications of the ACM 31 (1988), no. 6, 742-749 and 774. See also the correspondence in the same journal, 32 (1989), no. 8, 1019-1024. MR 89d:65005
    • (1988) Communications of the ACM , vol.31 , Issue.6 , pp. 742-749
    • L'Ecuyer, P.1
  • 12
    • 0024029607 scopus 로고    scopus 로고
    • P. L'Ecuyer, Efficient and portable combined random number generators, Communications of the ACM 31 (1988), no. 6, 742-749 and 774. See also the correspondence in the same journal, 32 (1989), no. 8, 1019-1024. MR 89d:65005
    • (1989) Communications of the ACM , vol.32 , Issue.8 , pp. 1019-1024
  • 13
    • 0024029607 scopus 로고    scopus 로고
    • P. L'Ecuyer, Efficient and portable combined random number generators, Communications of the ACM 31 (1988), no. 6, 742-749 and 774. See also the correspondence in the same journal, 32 (1989), no. 8, 1019-1024. MR 89d:65005
    • MR , vol.89 D , pp. 65005
  • 14
    • 0002964677 scopus 로고    scopus 로고
    • Random number generation
    • Wiley, To appear
    • _, Random number generation, Handbook on Simulation (Jerry Banks, ed.), Wiley, 1998, To appear.
    • (1998) Handbook on Simulation
    • Banks, J.1
  • 16
    • 0000271355 scopus 로고    scopus 로고
    • An implementation of the lattice and spectral tests for multiple recursive linear random number generators
    • P. L'Ecuyer and R. Couture, An implementation of the lattice and spectral tests for multiple recursive linear random number generators, INFORMS Journal on Computing 9 (1997), no. 2, 206-217. CMP 98:03
    • (1997) INFORMS Journal on Computing , vol.9 , Issue.2 , pp. 206-217
    • L'Ecuyer, P.1    Couture, R.2
  • 17
    • 0000271355 scopus 로고    scopus 로고
    • P. L'Ecuyer and R. Couture, An implementation of the lattice and spectral tests for multiple recursive linear random number generators, INFORMS Journal on Computing 9 (1997), no. 2, 206-217. CMP 98:03
    • CMP , vol.98 , pp. 03
  • 19
    • 0039195400 scopus 로고    scopus 로고
    • H. Niederreiter, Random number generation and quasi-Monte Carlo methods, SIAM CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 63, SIAM, Philadelphia, 1992. MR 93k:65008
    • MR , vol.93 K , pp. 65008
  • 20
    • 0029482919 scopus 로고
    • Combination of multiplicative congruential random number generators with safe prime modulus
    • IEEE Press
    • M. Sakamoto and S. Morito, Combination of multiplicative congruential random number generators with safe prime modulus, Proceedings of the 1995 Winter Simulation Conference, IEEE Press, 1995, pp. 309-315.
    • (1995) Proceedings of the 1995 Winter Simulation Conference , pp. 309-315
    • Sakamoto, M.1    Morito, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.