By Topic

Loop Properties and Controllability of Linear Congruential Sequences

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Galperin, E.A. ; NP Research

Loop properties of linear congruential sequences generated by Xn+1 = AXn + C (mod m) are considered. Existence theorems and procedures are given to single out loops and fixed points, if any, in terms of generator parameters X0,A,C,m. Criteria are found for absolutely and conditionally convergent generators and split generators. The role of parameters in respect of inner structure is investigated. Nonautonomous random number generators are introduced and applied to the design of a generator (mod 232) having a good lattice, a period five times more than the modulus and no translated-block structure.

Published in:

Computers, IEEE Transactions on  (Volume:C-27 ,  Issue: 1 )