Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
ON THE PERIOD LENGTH OF CONGRUENTIAL PSEUDORANDOM NUMBER SEQUENCES GENERATED BY INVERSIONS
Date
1990-07-24
Author
EICHENAUERHERRMANN, J
TOPUZOGLU, A
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
183
views
0
downloads
Cite This
Congruential pseudorandom number sequences generated by inversions have been studied recently. These sequences do not show the undesirable lattice structure of the linear congruential method. The necessary and sufficient condition for the generated sequence to have the maximal period length was given by Eichenauer (1988) for the case of 2e modulus. Generalization of this result to the case of an arbitrary prime power modulus is obtained.
Subject Keywords
Pseudorandom Number Sequences
,
Inversive Congruential Generators
,
Period Length
URI
https://hdl.handle.net/11511/65477
Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
https://doi.org/10.1016/0377-0427(90)90339-2
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
ON THE LATTICE STRUCTURE OF A NONLINEAR GENERATOR WITH MODULUS 2-ALPHA
EICHENAUERHERRMANN, J; GROTHE, H; NIEDERREITER, H; TOPUZOGLU, A (1990-07-24)
Nonlinear congruential pseudorandom number generators based on inversions have been introduced and analysed recently. These generators do not show the simple lattice structure of the widely used linear congruential generators which are too regular for certain simulation purposes. In the present paper a nonlinear congruential generator based on inversions with respect to a power of two modulus is considered. It is shown that the set of points formed by consecutive pseudorandom numbers has a more complicated ...
A NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBER GENERATOR WITH POWER OF 2 MODULUS
EICHENAUER, J; LEHN, J; TOPUZOGLU, A (1988-10-01)
A nonlinear congruential pseudorandom number generator is studied where the modulus is a power of two. Investigation of this generator was suggested by Knuth [7]. A simple necessary and sufficient condition is given for this generator to have the maximal period length.
On the expected value of the linear complexity of periodic sequences
Özakın, Çiğdem; Özbudak, Ferruh; Department of Cryptography (2004)
In cryptography, periodic sequences with terms in F2 are used almost everywhere. These sequences should have large linear complexity to be cryptographically strong. In fact, the linear complexity of a sequence should be close to its period. In this thesis, we study the expected value for N-periodic sequences with terms in the finite field Fq. This study is entirely devoted to W. Meidl and Harald Niederreiter̕s paper which is أOn the Expected Value of the Linear Complexity and the k-Error Linear Complexity o...
On the deformation chirality of real cubic fourfolds
Finashin, Sergey (Wiley, 2009-09-01)
According to our previous results, the conjugacy class of the involution induced by the complex conjugation in the homology of a real non-singular cubic fourfold determines the fourfold tip to projective equivalence and deformation. Here, we show how to eliminate the projective equivalence and obtain a pure deformation classification, that is, how to respond to the chirality problem: which cubics are not deformation equivalent to their image under a mirror reflection. We provide an arithmetical criterion of...
On the units generated by Weierstrass forms
Küçüksakallı, Ömer (2014-01-01)
There is an algorithm of Schoof for finding divisors of class numbers of real cyclotomic fields of prime conductor. In this paper we introduce an improvement of the elliptic analogue of this algorithm by using a subgroup of elliptic units given by Weierstrass forms. These elliptic units which can be expressed in terms of x-coordinates of points on elliptic curves enable us to use the fast arithmetic of elliptic curves over finite fields.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
J. EICHENAUERHERRMANN and A. TOPUZOGLU, “ON THE PERIOD LENGTH OF CONGRUENTIAL PSEUDORANDOM NUMBER SEQUENCES GENERATED BY INVERSIONS,”
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
, pp. 87–96, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65477.