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Volumn 13, Issue 4, 2002, Pages 319-326

Lattice structure and linear complexity of nonlinear pseudorandom numbers

Author keywords

Inversive method; Linear complexity; Marsaglia's lattice test; Nonlinear method; Pseudorandom number generator

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; POLYNOMIALS; THEOREM PROVING; VECTORS;

EID: 0036955497     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000200105     Document Type: Article
Times cited : (25)

References (24)
  • 1
    • 0030268981 scopus 로고    scopus 로고
    • Permutation polynomials, de Bruijn sequences, and linear complexity
    • Blackburn, S.R., Etzion, T., Paterson, K.G.: Permutation polynomials, de Bruijn sequences, and linear complexity. J. Comb. Th. A 76 (1), 55-82 (1996)
    • (1996) J. Comb. Th. A , vol.76 , Issue.1 , pp. 55-82
    • Blackburn, S.R.1    Etzion, T.2    Paterson, K.G.3
  • 2
    • 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 (1), 126-132 (1995)
    • (1995) Finite Fields Appl. , vol.1 , Issue.1 , pp. 126-132
    • Chou, W.-S.1
  • 5
    • 0001349327 scopus 로고
    • Marsaglia's lattice test and non-linear congruential pseudo random number generators
    • Eichenauer, J., Grothe, H., Lehn, J.: Marsaglia's lattice test and non-linear congruential pseudo random number generators. Metrika 35 (3/4), 241-250 (1988)
    • (1988) Metrika , vol.35 , Issue.3-4 , pp. 241-250
    • Eichenauer, J.1    Grothe, H.2    Lehn, J.3
  • 9
    • 0002966966 scopus 로고    scopus 로고
    • On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period
    • Gutierrez, J., Niederrieter, H., Shparlinski, I. E.: On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period. Monatsh. Math. 129 (1), 31-36 (2000)
    • (2000) Monatsh. Math. , vol.129 , Issue.1 , pp. 31-36
    • Gutierrez, J.1    Niederrieter, H.2    Shparlinski, I.E.3
  • 10
    • 0012534776 scopus 로고    scopus 로고
    • Explicit digital inversive pseudorandom numbers
    • Levin, M. B.: Explicit digital inversive pseudorandom numbers. Math. Slovaca 50(5), 581-598 (2000)
    • (2000) Math. Slovaca , vol.50 , Issue.5 , pp. 581-598
    • Levin, M.B.1
  • 12
    • 0001240132 scopus 로고
    • The structure of linear congruential sequences
    • In: Zaremba, S.K. (ed.):; New York: Academic Press
    • Marsaglia, G.: The structure of linear congruential sequences. In: Zaremba, S.K. (ed.): Applications of Number Theory to Numerical Analysis, pp. 249-285. New York: Academic Press 1972
    • (1972) Applications of Number Theory to Numerical Analysis , pp. 249-285
    • Marsaglia, G.1
  • 13
    • 0035504014 scopus 로고    scopus 로고
    • Lower bounds on the linear complexity of the discrete logarithm in finite fields
    • Meidl, W., Winterhof, A.: Lower bounds on the linear complexity of the discrete logarithm in finite fields. IEEE Trans. Inform. Th. 47, 2807-2811 (2001)
    • (2001) IEEE Trans. Inform. Th. , vol.47 , pp. 2807-2811
    • Meidl, W.1    Winterhof, A.2
  • 14
  • 16
    • 0000504878 scopus 로고
    • A polynomial representation for logarithms in G F (q)
    • Mullen, G. L., White, D.: A polynomial representation for logarithms in G F (q). Acta Arith. 47 (3), 255-261 (1986)
    • (1986) Acta Arith. , vol.47 , Issue.3 , pp. 255-261
    • Mullen, G.L.1    White, D.2
  • 18
    • 0028408281 scopus 로고
    • Pseudorandom vector generation by the inversive method
    • Niederreiter, H.: Pseudorandom vector generation by the inversive method. ACM Trans. Modeling and Computer Simulation 4 (2), 191-212 (1994)
    • (1994) ACM Trans. Modeling and Computer Simulation , vol.4 , Issue.2 , pp. 191-212
    • Niederreiter, H.1
  • 19
    • 0002360317 scopus 로고
    • New developments in uniform pseudorandom number and vector generation
    • In: 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 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
  • 20
    • 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 (3), 246-253 (1999)
    • (1999) Finite Fields Appl. , vol.5 , Issue.3 , pp. 246-253
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 21
    • 0002509229 scopus 로고    scopus 로고
    • Recent advances in the theory of nonlinear pseudorandom number generators
    • In: Fang, K.-T., Hickernell, F.J., Niederreiter, H. (eds.):; Berlin: Springer
    • Niederreiter, H., Shparlinski, I. E.: Recent advances in the theory of nonlinear pseudorandom number generators. In: Fang, K.-T., Hickernell, F.J., Niederreiter, H. (eds.): Monte Carlo and Quasi-Monte Carlo Methods 2000, pp. 86-102. Berlin: Springer 2002
    • (2002) Monte Carlo and Quasi-Monte Carlo Methods 2000 , pp. 86-102
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 22
    • 0002037609 scopus 로고    scopus 로고
    • Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
    • Niederreiter, H., Winterhof, A.: Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators. Acta Arith. 93 (4), 387-399 (2000)
    • (2000) Acta Arith. , vol.93 , Issue.4 , pp. 387-399
    • Niederreiter, H.1    Winterhof, A.2
  • 23
    • 0034916290 scopus 로고    scopus 로고
    • On the lattice structure of pseudorandom numbers generated over arbitrary finite fields
    • Niederreiter, H., Winterhof, A.: On the lattice structure of pseudorandom numbers generated over arbitrary finite fields. Appl. Alg. Engrg. Comm. Comp. 12 (3), 265-272 (2001)
    • (2001) Appl. Alg. Engrg. Comm. Comp. , vol.12 , Issue.3 , pp. 265-272
    • Niederreiter, H.1    Winterhof, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.