메뉴 건너뛰기




Volumn 4851 LNCS, Issue , 2007, Pages 208-216

On the structure of inversive pseudorandom number generators

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SEQUENCES; COMPUTATIONAL COMPLEXITY; LINEAR EQUATIONS;

EID: 38349030748     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-77224-8_25     Document Type: Conference Paper
Times cited : (14)

References (25)
  • 1
    • 33749988535 scopus 로고    scopus 로고
    • Linear Complexity Profile of Binary Sequences With Small Correlation Measure
    • Brandstätter, N., Winterhof, A.: Linear Complexity Profile of Binary Sequences With Small Correlation Measure. Period. Math. Hungar 52, 1-8 (2006)
    • (2006) Period. Math. Hungar , vol.52 , pp. 1-8
    • Brandstätter, N.1    Winterhof, A.2
  • 2
    • 47849106779 scopus 로고    scopus 로고
    • Finite Binary Sequences Constructed by Explicit Inversive Methods
    • to appear
    • Chen, Z.X.: Finite Binary Sequences Constructed by Explicit Inversive Methods. Finite Fields Appl. (to appear)
    • Finite Fields Appl
    • Chen, Z.X.1
  • 3
    • 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, 126-132 (1995)
    • (1995) Finite Fields Appl , vol.1 , pp. 126-132
    • Chou, W.S.1
  • 4
    • 35048852988 scopus 로고    scopus 로고
    • Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences
    • Mullen, G.L, Poli, A, Stichtenoth, H, eds, Finite Fields and Applications, Springer, Heidelberg
    • Dorfer, G.: Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences. In: Mullen, G.L., Poli, A., Stichtenoth, H. (eds.) Finite Fields and Applications. LNCS, vol. 2948, pp. 69-78. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2948 , pp. 69-78
    • Dorfer, G.1
  • 5
    • 13844269177 scopus 로고    scopus 로고
    • Counting Functions and Expected Values for the Lattice Profile at n
    • Dorfer, G., Meidl, W., Winterhof, A.: Counting Functions and Expected Values for the Lattice Profile at n. Finite Fields Appl. 10, 636-652 (2004)
    • (2004) Finite Fields Appl , vol.10 , pp. 636-652
    • Dorfer, G.1    Meidl, W.2    Winterhof, A.3
  • 6
    • 0038680378 scopus 로고    scopus 로고
    • Lattice Structure and Linear Complexity Profile of Non-linear Pseudorandom Number Generators
    • Dorfer, G., Winterhof, A.: Lattice Structure and Linear Complexity Profile of Non-linear Pseudorandom Number Generators. Appl. Algebra Engrg. Comm. Comput. 13, 499-508 (2003)
    • (2003) Appl. Algebra Engrg. Comm. Comput , vol.13 , pp. 499-508
    • Dorfer, G.1    Winterhof, A.2
  • 7
    • 13844298613 scopus 로고    scopus 로고
    • Lattice Structure of Nonlinear Pseudorandom Number Generators in Parts of the Period
    • Niederreiter, H, ed, Springer, Berlin
    • Dorfer, G., Winterhof, A.: Lattice Structure of Nonlinear Pseudorandom Number Generators in Parts of the Period. In: Niederreiter, H. (ed.) Monte Carlo and Quasi-Monte Carlo Methods 2002, pp. 199-211. Springer, Berlin (2004)
    • (2002) Monte Carlo and Quasi-Monte Carlo Methods , pp. 199-211
    • Dorfer, G.1    Winterhof, A.2
  • 8
    • 0000433259 scopus 로고
    • A Non-Linear Congruential Pseudo Random Number Generator
    • Eichenauer, J., Lehn, J.: A Non-Linear Congruential Pseudo Random Number Generator. Statist. Papers 27, 315-326 (1986)
    • (1986) Statist. Papers , vol.27 , pp. 315-326
    • Eichenauer, J.1    Lehn, J.2
  • 9
    • 84968488158 scopus 로고
    • Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers
    • Eichenauer-Herrmann, J.: Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers. Math. Comp. 60, 375-384 (1993)
    • (1993) Math. Comp , vol.60 , pp. 375-384
    • Eichenauer-Herrmann, J.1
  • 10
    • 0001894557 scopus 로고    scopus 로고
    • A Survey of Quadratic and Inversive Congruential Pseudorandom Numbers
    • Niederreiter, H, et al, eds, Monte Carlo and Quasi-Monte Carlo Methods 1996, Springer, Heidelberg
    • Eichenauer-Herrmann, J., Herrmann, E., Wegenkittl, S.: A Survey of Quadratic and Inversive Congruential Pseudorandom Numbers. In: Niederreiter, H., et al. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture Notes in Statistics, vol. 127, pp. 66-97. Springer, Heidelberg (1998)
    • (1998) Lecture Notes in Statistics , vol.127 , pp. 66-97
    • Eichenauer-Herrmann, J.1    Herrmann, E.2    Wegenkittl, S.3
  • 11
    • 85050895161 scopus 로고    scopus 로고
    • On the Counting Function of the Lattice Profile of Periodic Sequences
    • to appear
    • Fu, F.-W., Niederreiter, H.: On the Counting Function of the Lattice Profile of Periodic Sequences. J. Complexity (to appear)
    • J. Complexity
    • Fu, F.-W.1    Niederreiter, H.2
  • 12
    • 0037265750 scopus 로고    scopus 로고
    • On the Linear and Nonlinear Complexity Profile of Nonlinear Pseudorandom Number Generators
    • Gutierrez, J., Shparlinski, I.E., Winterhof, A.: On the Linear and Nonlinear Complexity Profile of Nonlinear Pseudorandom Number Generators. IEEE Trans. Inf. Theory 49, 60-64 (2003)
    • (2003) IEEE Trans. Inf. Theory , vol.49 , pp. 60-64
    • Gutierrez, J.1    Shparlinski, I.E.2    Winterhof, A.3
  • 13
    • 0001240132 scopus 로고
    • The Structure of Linear Congruential Sequences
    • Zaremba, S.K, ed, Academic Press, New York
    • Marsaglia, G.: The Structure of Linear Congruential Sequences. In: Zaremba, S.K. (ed.) Applications of Number Theory to Numerical Analysis, pp. 249-285. Academic Press, New York (1972)
    • (1972) Applications of Number Theory to Numerical Analysis , pp. 249-285
    • Marsaglia, G.1
  • 14
    • 0039054777 scopus 로고    scopus 로고
    • On Finite Pseudorandom Binary Sequences. I. Measure of Pseudorandomness. The Legendre Symbol
    • Mauduit, C., Sárközy, A.: On Finite Pseudorandom Binary Sequences. I. Measure of Pseudorandomness. The Legendre Symbol. Acta Arith. 82, 365-377 (1997)
    • (1997) Acta Arith , vol.82 , pp. 365-377
    • Mauduit, C.1    Sárközy, A.2
  • 15
    • 23744444865 scopus 로고    scopus 로고
    • Construction of Pseudorandom Binary Sequences by Using the Multiplicative Inverse
    • Mauduit, C., Sárközy, A.: Construction of Pseudorandom Binary Sequences by Using the Multiplicative Inverse. Acta Math. Hungar. 108, 239-252 (2005)
    • (2005) Acta Math. Hungar , vol.108 , pp. 239-252
    • Mauduit, C.1    Sárközy, A.2
  • 16
    • 0037448287 scopus 로고    scopus 로고
    • On the Linear Complexity Profile of Explicit Nonlinear Pseudorandom Numbers
    • Meidl, W., Winterhof, A.: On the Linear Complexity Profile of Explicit Nonlinear Pseudorandom Numbers. Inf. Process. Lett. 85, 13-18 (2003)
    • (2003) Inf. Process. Lett , vol.85 , pp. 13-18
    • Meidl, W.1    Winterhof, A.2
  • 17
    • 1942507928 scopus 로고    scopus 로고
    • On the Linear Complexity Profile of Some New Explicit Inversive Pseudorandom Numbers
    • Meidl, W., Winterhof, A.: On the Linear Complexity Profile of Some New Explicit Inversive Pseudorandom Numbers. J. Complexity 20, 350-355 (2004)
    • (2004) J. Complexity , vol.20 , pp. 350-355
    • Meidl, W.1    Winterhof, A.2
  • 19
    • 39749181557 scopus 로고    scopus 로고
    • On the Correlation of Pseudorandom Numbers Generated by Inversive Methods
    • to appear
    • Niederreiter, H., Rivat, J.: On the Correlation of Pseudorandom Numbers Generated by Inversive Methods. Monatsh. Math, (to appear)
    • Monatsh. Math
    • Niederreiter, H.1    Rivat, J.2
  • 20
    • 0033737044 scopus 로고    scopus 로고
    • On the Distribution of Pseudorandom Numbers and Vectors Generated by Inversive Methods
    • Niederreiter, H., Shparlinski, I.E.: On the Distribution of Pseudorandom Numbers and Vectors Generated by Inversive Methods. Appl. Algebra Engrg. Comm. Comput, 10, 189-202 (2000)
    • (2000) Appl. Algebra Engrg. Comm. Comput , vol.10 , pp. 189-202
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 21
    • 0002509229 scopus 로고    scopus 로고
    • Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators
    • Fang, K.T, Hickernell, F.J, Niederreiter, H, eds, Springer, Berlin
    • 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. Springer, Berlin (2002)
    • (2000) Monte Carlo and Quasi-Monte Carlo Methods , pp. 86-102
    • Niederreiter, H.1    Shparlinski, I.E.2
  • 22
    • 0036955497 scopus 로고    scopus 로고
    • Lattice Structure and Linear Complexity of Non-linear Pseudorandom Numbers
    • Niederreiter, H., Winterhof, A.: Lattice Structure and Linear Complexity of Non-linear Pseudorandom Numbers. Appl. Algebra Engrg. Comm. Comput. 13, 319-326 (2002)
    • (2002) Appl. Algebra Engrg. Comm. Comput , vol.13 , pp. 319-326
    • Niederreiter, H.1    Winterhof, A.2
  • 24
    • 85050895744 scopus 로고    scopus 로고
    • Successive Minima Profile, Lattice Profile, and Joint Linear Complexity Profile of Pseudorandom Multisequences
    • to appear
    • Wang, L.-P., Niederreiter, H.: Successive Minima Profile, Lattice Profile, and Joint Linear Complexity Profile of Pseudorandom Multisequences. J. Complexity (to appear)
    • J. Complexity
    • Wang, L.-P.1    Niederreiter, H.2
  • 25
    • 38349023925 scopus 로고    scopus 로고
    • On the Distribution of Some New Explicit Inversive Pseudorandom Numbers and Vectors
    • Niederreiter, H, Talay, D, eds, Springer, Berlin
    • Winterhof, A.: On the Distribution of Some New Explicit Inversive Pseudorandom Numbers and Vectors. In: Niederreiter, H., Talay, D. (eds.) Monte Carlo and QuasiMonte Carlo Methods 2004, pp. 487-499. Springer, Berlin (2006)
    • (2004) Monte Carlo and QuasiMonte Carlo Methods , pp. 487-499
    • Winterhof, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.