메뉴 건너뛰기




Volumn 8, Issue 1, 1998, Pages 3-30

Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator

Author keywords

Finite fields; GFSR; Incomplete array; Inversive decimation method; k distribution; M sequences; Mersenne Primes; Mersenne Twister; MT19937; Multiple recursive matrix method; Primitive polynomials; Random number generation; Tempering; TGFSR

Indexed keywords

INVERSE-DECIMAL METHOD;

EID: 0031599142     PISSN: 10493301     EISSN: None     Source Type: Journal    
DOI: 10.1145/272991.272995     Document Type: Conference Paper
Times cited : (4711)

References (34)
  • 2
    • 0042014115 scopus 로고
    • The hierarchy of correlations in random binary sequences
    • COMPAGNER, A. 1991. The hierarchy of correlations in random binary sequences. J. Stat. Phys. 63, 883-896.
    • (1991) J. Stat. Phys. , vol.63 , pp. 883-896
    • Compagner, A.1
  • 3
    • 84968491617 scopus 로고
    • On the distribution of k-dimensional vectors for simple and combined Tausworthe sequences
    • COUTURE, R., L'ECUYER, P., AND TEZUKA, S. 1993. On the distribution of k-dimensional vectors for simple and combined Tausworthe sequences. Math. Comput. 60, 749-761.
    • (1993) Math. Comput. , vol.60 , pp. 749-761
    • Couture, R.1    L'Ecuyer, P.2    Tezuka, S.3
  • 4
    • 11944269419 scopus 로고
    • Monte Carlo simulations: Hidden errors from "good" random number generators
    • FERRENBERG, A. M., LANDAU, D. P., AND WONG, Y. J. 1992. Monte Carlo simulations: hidden errors from "good" random number generators. Phys. Rev. Lett. 69, 3382-3384.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 3382-3384
    • Ferrenberg, A.M.1    Landau, D.P.2    Wong, Y.J.3
  • 5
    • 0016426181 scopus 로고
    • Pseudo-randomness properties of binary shift register sequences
    • FREDRICSSON, S. A. 1975. Pseudo-randomness properties of binary shift register sequences. IEEE Trans. Inf. Theor. 21, 115-120.
    • (1975) IEEE Trans. Inf. Theor. , vol.21 , pp. 115-120
    • Fredricsson, S.A.1
  • 7
    • 0020793402 scopus 로고
    • The k -distribution of generalized feedback shift register pseudorandom numbers
    • FUSHIMI, M. AND TEZUKA, S. 1983. The k -distribution of generalized feedback shift register pseudorandom numbers. Commun. ACM 4, 516-523.
    • (1983) Commun. ACM , vol.4 , pp. 516-523
    • Fushimi, M.1    Tezuka, S.2
  • 10
    • 0038752922 scopus 로고
    • New primitive trinomials of Mersenne-exponent degrees for random-number generation
    • HERINGA, J. R., BLÖTE, H. W. J., AND COMPAGNER, A. 1992. New primitive trinomials of Mersenne-exponent degrees for random-number generation. Int. J. Modern Phys. C3, 561-564.
    • (1992) Int. J. Modern Phys. , vol.C3 , pp. 561-564
    • Heringa, J.R.1    Blöte, H.W.J.2    Compagner, A.3
  • 11
    • 0003657593 scopus 로고    scopus 로고
    • Seminumerical Algorithms. 2nd ed.
    • Addison Wesley, Reading, MA
    • KNUTH, D. E. 1981. Seminumerical Algorithms. 2nd ed., Vol. 2, The Art of Computer Programming. Addison Wesley, Reading, MA.
    • (1981) The Art of Computer Programming , vol.2
    • Knuth, D.E.1
  • 12
    • 84889150393 scopus 로고    scopus 로고
    • Private communication. Keio Univ., Nov. 1996; Jan. 7th 1997
    • KNUTH, D. E. 1996. Private communication. Keio Univ., Nov. 1996; Jan. 7th 1997.
    • (1996)
    • Knuth, D.E.1
  • 13
    • 0003657593 scopus 로고    scopus 로고
    • Seminumerical Algorithms. 3rd Ed.
    • Addison Wesley, Reading, MA
    • KNUTH, D. E. 1997. Seminumerical Algorithms. 3rd ed., Vol. 2, The Art of Computer Programming. Addison Wesley, Reading, MA.
    • (1997) The Art of Computer Programming , vol.2
    • Knuth, D.E.1
  • 14
    • 21844490579 scopus 로고
    • Uniform random number generation
    • L'ECUYER, P. 1994. Uniform random number generation. Ann. Oper. Res. 53, 77-120.
    • (1994) Ann. Oper. Res. , vol.53 , pp. 77-120
    • L'Ecuyer, P.1
  • 15
    • 0030376929 scopus 로고    scopus 로고
    • Maximally equidistributed combined Tausworthe generators
    • L'ECUYER, P. 1996. Maximally equidistributed combined Tausworthe generators. Math. Comput. 65, 203-213.
    • (1996) Math. Comput. , vol.65 , pp. 203-213
    • L'Ecuyer, P.1
  • 16
    • 0020733320 scopus 로고
    • Factoring multivariate polynomials over finite fields
    • LENSTRA, A. K. 1985. Factoring multivariate polynomials over finite fields. J. Comput. Syst. Sci. 30, 235-248.
    • (1985) J. Comput. Syst. Sci. , vol.30 , pp. 235-248
    • Lenstra, A.K.1
  • 17
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • LENSTRA, A. K., LENSTRA, H. W., JR., AND LOVÁSZ, L. 1982. Factoring polynomials with rational coefficients. Math. Ann. 261, 515-534.
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra Jr., H.W.2    Lovász, L.3
  • 18
    • 84976805978 scopus 로고
    • Generalized feedback shift register pseudorandom number algorithms
    • LEWIS, T. G. AND PAYNE, W. H. 1973. Generalized feedback shift register pseudorandom number algorithms. J. ACM 20, 456-468.
    • (1973) J. ACM , vol.20 , pp. 456-468
    • Lewis, T.G.1    Payne, W.H.2
  • 19
    • 84874411276 scopus 로고
    • An analysis of the pseudo-randomness properties of subsequences of long m-sequences
    • LINDHOLM, J. H. 1968. An analysis of the pseudo-randomness properties of subsequences of long m-sequences. IEEE Trans. Inf. Theor. 14, 569-576.
    • (1968) IEEE Trans. Inf. Theor. , vol.14 , pp. 569-576
    • Lindholm, J.H.1
  • 21
    • 0002692460 scopus 로고
    • A new class of random number generators
    • MARSAGLIA, G. AND ZAMAN, A. 1991. A new class of random number generators. Ann. Appl. Probab. 1, 462-480.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 462-480
    • Marsaglia, G.1    Zaman, A.2
  • 24
    • 0030125599 scopus 로고    scopus 로고
    • Strong deviations from randomness in m-sequences based on trinomials
    • MATSUMOTO, M. AND KURITA, Y. 1996. Strong deviations from randomness in m-sequences based on trinomials. ACM Trans. Model. Comput. Simul. 6, 99-106.
    • (1996) ACM Trans. Model. Comput. Simul. , vol.6 , pp. 99-106
    • Matsumoto, M.1    Kurita, Y.2
  • 25
    • 0010200645 scopus 로고
    • Factorization of polynomials and some linear-algebra problems over finite fields
    • NIEDERREITER, H. 1993. Factorization of polynomials and some linear-algebra problems over finite fields. Linear Algebra Appl. 192, 301-328.
    • (1993) Linear Algebra Appl. , vol.192 , pp. 301-328
    • Niederreiter, H.1
  • 26
    • 0002704107 scopus 로고
    • The multiple-recursive matrix method for pseudorandom number generation
    • NIEDERREITER, H. 1995. The multiple-recursive matrix method for pseudorandom number generation. Finite Fields Appl. 1, 3-30.
    • (1995) Finite Fields Appl. , vol.1 , pp. 3-30
    • Niederreiter, H.1
  • 27
    • 0003819410 scopus 로고
    • Communication and Control Engineering Series. Springer-Verlag, New York, NY
    • RUEPPEL, R. A. 1986. Analysis and Design of Stream Ciphers. Communication and Control Engineering Series. Springer-Verlag, New York, NY.
    • (1986) Analysis and Design of Stream Ciphers
    • Rueppel, R.A.1
  • 28
    • 0025539624 scopus 로고
    • Lattice structure of pseudorandom sequences from shift register generators
    • R. E. Nance Ed. IEEE
    • TEZUKA, S. 1990. Lattice structure of pseudorandom sequences from shift register generators. In Proceedings of the 1990 Winter Simulation Conference R. E. Nance Ed. IEEE, 266-269.
    • (1990) Proceedings of the 1990 Winter Simulation Conference , pp. 266-269
    • Tezuka, S.1
  • 29
    • 84968516162 scopus 로고
    • The k-dimensional distribution of combined GFSR sequences
    • TEZUKA, S. 1994a. The k-dimensional distribution of combined GFSR sequences. Math. Comput. 62, 809-817.
    • (1994) Math. Comput. , vol.62 , pp. 809-817
    • Tezuka, S.1
  • 30
    • 0004580126 scopus 로고
    • A unified view of long-period random number generators
    • TEZUKA, S. 1994b. A unified view of long-period random number generators. J. Oper. Res. Soc. Japan 37, 211-227.
    • (1994) J. Oper. Res. Soc. Japan , vol.37 , pp. 211-227
    • Tezuka, S.1
  • 32
    • 84976718070 scopus 로고
    • Efficient and portable combined Tausworthe random number generators
    • TEZUKA, S. AND L'ECUYER, P. 1991. Efficient and portable combined Tausworthe random number generators. ACM Trans. Model. Comput. Simul. 1, 99-112.
    • (1991) ACM Trans. Model. Comput. Simul. , vol.1 , pp. 99-112
    • Tezuka, S.1    L'Ecuyer, P.2
  • 33
    • 0027677150 scopus 로고
    • On the lattice structure of the add-with-carry and subtract-with-borrow random number generators
    • TEZUKA, S., L'ECUYER, P., AND COUTURE, R. 1993. On the lattice structure of the add-with-carry and subtract-with-borrow random number generators. ACM Trans. Model. Comput. Simul. 3, 315-331.
    • (1993) ACM Trans. Model. Comput. Simul. , vol.3 , pp. 315-331
    • Tezuka, S.1    L'Ecuyer, P.2    Couture, R.3
  • 34
    • 84976819942 scopus 로고
    • An asymptotically random Tausworthe sequence
    • TOOTILL, J. P. R., ROBINSON, W. D., AND EAGLE, D. J. 1973. An asymptotically random Tausworthe sequence. J. ACM 20, 3, 469-481.
    • (1973) J. ACM , vol.20 , Issue.3 , pp. 469-481
    • Tootill, J.P.R.1    Robinson, W.D.2    Eagle, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.