Iterations of multivariate polynomials and discrepancy of pseudorandom numbers

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2227, Issue , 2001, Pages 192-199

  Gutierrez, Jaime ^a   Gomez Perez, Domingo ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIVARIABLE SYSTEMS;

DISCREPANCY BOUNDS; LINEAR PROPERTIES; MULTIVARIATE POLYNOMIAL; PSEUDO-RANDOM NUMBERS;

ALGEBRA;

EID: 84974667556     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45624-4_20     Document Type: Conference Paper

References (8)

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2. F. Griffin, H. Niederreiter and I. Shparlinski, On the distribution of nonlinear recursive congruential pseudorandom numbers of higher orders, Proc. the 13th Symp. On Appl. Algebra, Algebraic Algorithms, and Error-Correcting Codes, Hawaii, 1999, Lect. Notes in Comp. Sci., Springer-Verlag, Berlin, 1999, 1719, 87–93.
3. J. Gutierrez, H. Niederreiter and I. Shparlinski, On the multidimensional distribution of nonlinear congruential pseudorandom numbers in parts of the period, Monatsh. Math., 129, (2000) 31–36.
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6. H. Niederreiter and I. Shparlinski, On the distribution of inversive congruential pseudorandom numbers modulo a prime power, Acta Arithm., 92, (2000), 89–98.
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8. H. Niederreiter and I. E. Shparlinski, ‘On the distribution of inversive congruential pseudorandom numbers in parts of the period’, Math. Comp. (to appear).