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Recurring-with-carry sequences

Part of: Sequences and sets

Published online by Cambridge University Press:  14 July 2016

Cemal Koç
Cemal Koç*
Affiliation:
Eastern Mediterranean University
*
∗Permanent address: Department of Mathematics, Middle East Technical University, 06 531 Ankara, Turkey.
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Abstract

In this note we introduce recurring-with-carry sequences which generalize add-with-carry and subtract-with-borrow sequences introduced in [1], and describe periods of admissible recurring-with-carry sequences which include add-with-carry and subtract-with-borrow sequences with a few exceptions.

Keywords

PSEUDORANDOM NUMBER GENERATORSRECURRING SEQUENCESADD-WITH-CARRYSUBTRACT-WITH-BORROW

MSC classification

Primary: 11B37: Recurrences
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 4 , December 1995 , pp. 966 - 971
Copyright
Copyright © Applied Probability Trust 1995 

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References

[1] Marsaglia, G. and Zaman, A. (1991) A new class of random number generators. Ann. Appl. Prob. 1, 462–480.CrossRefGoogle Scholar
[2] Lidl, R. and Niederreiter, H. (1983) Finite Fields. Addison-Wesley, Reading, MA.Google Scholar