The period lengths of inversive congruential recursions

Wun-Seng Chou

Acta Arithmetica (1995)

  • Volume: 73, Issue: 4, page 325-341
  • ISSN: 0065-1036

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Wun-Seng Chou. "The period lengths of inversive congruential recursions." Acta Arithmetica 73.4 (1995): 325-341. <http://eudml.org/doc/206823>.

@article{Wun1995,
author = {Wun-Seng Chou},
journal = {Acta Arithmetica},
keywords = {pseudorandom numbers; period length; generalized inversive congruential recursion},
language = {eng},
number = {4},
pages = {325-341},
title = {The period lengths of inversive congruential recursions},
url = {http://eudml.org/doc/206823},
volume = {73},
year = {1995},
}

TY - JOUR
AU - Wun-Seng Chou
TI - The period lengths of inversive congruential recursions
JO - Acta Arithmetica
PY - 1995
VL - 73
IS - 4
SP - 325
EP - 341
LA - eng
KW - pseudorandom numbers; period length; generalized inversive congruential recursion
UR - http://eudml.org/doc/206823
ER -

References

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  1. [1] W.-S. Chou, On inversive maximal period polynomials over finite fields, Appl. Algebra Engrg. Comm. Comput. 6 (1995), 245-250. Zbl0832.11042
  2. [2] W.-S. Chou, The period lengths of inversive pseudorandom vector generators, Finite Fields Appl. 1 (1995), 126-132. Zbl0822.11054
  3. [3] J. Eichenauer and J. Lehn, A non-linear congruential pseudorandom number generator, Statist. Hefte 27 (1986), 315-326. Zbl0607.65001
  4. [4] J. Eichenauer, J. Lehn and A. Topuzoğlu, A nonlinear congruential pseudorandom number generator with power of two modulus, Math. Comp. 51 (1988), 757-759. Zbl0701.65008
  5. [5] J. Eichenauer-Herrmann, Inversive congruential pseudorandom numbers: a tutorial, Internat. Statist. Rev. 60 (1992), 167-176. Zbl0766.65002
  6. [6] J. Eichenauer-Herrmann, Construction of inversive congruential pseudorandom number generators with maximal period length, J. Comput. Appl. Math. 40 (1992), 345-349. Zbl0761.65001
  7. [7] J. Eichenauer-Herrmann and A. Topuzoğlu, On the period length of congruential pseudorandom number sequences generated by inversions, J. Comput. Appl. Math. 31 (1990), 87-96. Zbl0704.65001
  8. [8] M. Flahive and H. Niederreiter, On inversive congruential generators for pseudorandom numbers, in: Finite Fields, Coding Theory, and Advances in Communications and Computing, G. L. Mullen and P. J.-S. Shiue (eds.), Marcel Dekker, New York, 1992, 75-80. Zbl0790.11058
  9. [9] K. Huber, On the period length of generalized inversive pseudorandom generators, Appl. Algebra Engrg. Comm. Comput. 5 (1994), 255-260. Zbl0796.11030
  10. [10] H. Niederreiter, Finite fields and their applications, in: Contributions to General Algebra, Vol. 7, Vienna, 1990, Teubner, Stuttgart, 1991. Zbl0742.11057
  11. [11] H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, PA, 1992. Zbl0761.65002
  12. [12] H. Niederreiter, Pseudorandom vector generation by the inversive method, ACM Trans. Modeling & Computer Simulation 4 (1994), 191-212. Zbl0847.11039

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