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Acta Arithmetica
Volumn 83, Issue 1, 1998, Pages 1-15
A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators
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EID: 0032349991     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-83-1-1-15     Document Type: Article
Times cited : (3)
References (14)
  • 1
    • 84976805978 scopus 로고
    • Generalized feedback shift register pseudorandom number algorithm
    • T. G. Lewis and W. H. Payne, Generalized feedback shift register pseudorandom number algorithm, J. Assoc. Comput. Mach. 20 (1973), 456-468.
    • (1973) J. Assoc. Comput. Mach. , vol.20 , pp. 456-468
    • Lewis, T.G.1    Payne, W.H.2
  • 2
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337.
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 3
    • 0010097340 scopus 로고
    • The serial test for digital k-step pseudorandom numbers
    • -, The serial test for digital k-step pseudorandom numbers, Math. J. Okayama Univ. 30 (1988), 93-119.
    • (1988) Math. J. Okayama Univ. , vol.30 , pp. 93-119
  • 4
    • 0003244922 scopus 로고
    • Random Number Generation and Quasi-Monte Carlo Methods
    • SIAM, Philadelphia
    • -, Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, 1992.
    • (1992) CBMS-NSF Regional Conf. Ser. in Appl. Math. , vol.63
  • 5
    • 0010200645 scopus 로고
    • Factorization of polynomials and some linear-algebra problems over finite fields
    • -, Factorization of polynomials and some linear-algebra problems over finite fields, Linear Algebra Appl. 192 (1993), 301-328.
    • (1993) Linear Algebra Appl. , vol.192 , pp. 301-328
  • 6
    • 0002704107 scopus 로고
    • The multiple recursive matrix method for pseudorandom number generation
    • -, The multiple recursive matrix method for pseudorandom number generation, Finite Fields Appl. 1 (1995), 3-30.
    • (1995) Finite Fields Appl. , vol.1 , pp. 3-30
  • 7
    • 0030191395 scopus 로고    scopus 로고
    • Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation
    • -, Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation, ibid. 2 (1996), 225-240.
    • (1996) Finite Fields Appl. , vol.2 , pp. 225-240
  • 8
    • 21844523415 scopus 로고
    • Low-discrepancy sequences obtained from algebraic function fields over finite fields
    • H. Niederreiter and C. P. Xing, Low-discrepancy sequences obtained from algebraic function fields over finite fields, Acta Arith. 72 (1995), 281-298.
    • (1995) Acta Arith. , vol.72 , pp. 281-298
    • Niederreiter, H.1    Xing, C.P.2
  • 9
    • 0030194541 scopus 로고    scopus 로고
    • Low-discrepancy sequences and global function fields with many rational places
    • -, -, Low-discrepancy sequences and global function fields with many rational places, Finite Fields Appl. 2 (1996), 241-273.
    • (1996) Finite Fields Appl. , vol.2 , pp. 241-273
  • 10
    • 0011283046 scopus 로고
    • Quasirandom points and global function fields
    • S. Cohen and H. Niederreiter (eds.), Glasgow
    • -, -, Quasirandom points and global function fields, in: S. Cohen and H. Niederreiter (eds.), Finite Fields and Applications (Glasgow, 1995), London Math. Soc. Lecture Note Ser. 233, Cambridge Univ. Press, Cambridge, 1996, 269-296.
    • (1995) Finite Fields and Applications
  • 11
    • 0003395274 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge
    • -, -, Quasirandom points and global function fields, in: S. Cohen and H. Niederreiter (eds.), Finite Fields and Applications (Glasgow, 1995), London Math. Soc. Lecture Note Ser. 233, Cambridge Univ. Press, Cambridge, 1996, 269-296.
    • (1996) London Math. Soc. Lecture Note Ser. , vol.233 , pp. 269-296
  • 12
    • 0002851522 scopus 로고
    • On irregularities of distribution
    • K. F. Roth, On irregularities of distribution, Mathematika 1 (1954), 73-79.
    • (1954) Mathematika , vol.1 , pp. 73-79
    • Roth, K.F.1
  • 13
    • 0002184809 scopus 로고
    • Irregularities of distribution, VII
    • W. M. Schmidt, Irregularities of distribution, VII, Acta Arith. 21 (1972), 45-50.
    • (1972) Acta Arith. , vol.21 , pp. 45-50
    • Schmidt, W.M.1
  • 14
    • 84968520264 scopus 로고
    • Random numbers generated by linear recurrence modulo two
    • R. C. Tausworthe, Random numbers generated by linear recurrence modulo two, Math. Comp. 19 (1965), 201-209.
    • (1965) Math. Comp. , vol.19 , pp. 201-209
    • Tausworthe, R.C.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.