Cart (Loading....) | Create Account
Close category search window
 

Designing security for number sequences generated by means of the sawtooth chaotic map

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)
Jessa, M. ; Inst. of Electron. & Telecommun., Poznan Univ. of Technol., Poland

In the paper, we describe how to design the security of number sequences generated by a generator, exploiting the concept of partition of the state space of the sawtooth chaotic map into disjoint subspaces. We prove that the generator can generate nonperiodic and periodic sequences with arbitrary order of elements when the map is implemented in an uncountable set, and periodic sequences with arbitrary order of elements when the map is implemented in a countable set. The numerical security of the generated sequences is shown to be comparable when we limit our observations to finite time intervals. A method of designing the security of sequences produced by the generator was proposed. It was also demonstrated that the existence of methods for reconstructing the linear congruential generator does not imply automatic reconstruction of the generator, exploiting the concept of partition of the state space of the sawtooth map implemented in a finite-state machine.

Published in:

Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:53 ,  Issue: 5 )

Date of Publication:

May 2006

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.