scholarly journals A Generalized Stability Theorem for Discrete Chaos Systems with Application in Avalanche Image Encryption

2015 ◽  
Author(s):  
Xue Wang ◽  
Lequan Min ◽  
E Chen
Keyword(s):  
Image Encryption ◽  
Stability Theorem ◽  
Discrete Chaos ◽  
Generalized Stability

scholarly journals A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Mei Zhang ◽  
Danling Wang ◽  
Lequan Min ◽  
Xue Wang
Keyword(s):  
Discrete Time ◽  
Chaotic Map ◽  
Stability Theorem ◽  
Pseudorandom Number Generator ◽  
Generalized Synchronization ◽  
Key Space ◽  
Chaos System ◽  
Definition Of ◽  
Study Designs ◽  
Generalized Stability

Firstly, this study introduces a definition of generalized stability (GST) in discrete-time nonautonomous chaos system (DNCS), which is an extension for chaos generalized synchronization. Secondly, a constructive theorem of DNCS has been proposed. As an example, a GST DNCS is constructed based on a novel 4-dimensional discrete chaotic map. Numerical simulations show that the dynamic behaviors of this map have chaotic attractor characteristics. As one application, we design a chaotic pseudorandom number generator (CPRNG) based on the GST DNCS. We use the SP800-22 test suite to test the randomness of four 100-key streams consisting of 1,000,000 bits generated by the CPRNG, the RC4 algorithm, the ZUC algorithm, and a 6-dimensional CGS-based CPRNG, respectively. The numerical results show that the randomness performances of the two CPRNGs are promising. In addition, theoretically the key space of the CPRNG is larger than 21116. As another application, this study designs a stream avalanche encryption scheme (SAES) in RGB image encryption. The results show that the GST DNCS is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.

scholarly journals Generalized Stability of Euler-Lagrange Quadratic Functional Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Hark-Mahn Kim ◽  
Min-Young Kim
Keyword(s):  
Banach Space ◽  
Functional Equation ◽  
General Solution ◽  
Rational Numbers ◽  
Stability Theorem ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Ulam Stability ◽  
Generalized Stability

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equationf(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in(β,p)-Banach space, wherea,bare fixed rational numbers such thata≠-1,0andb≠0.

Implementation Color-Images Cryptography Using RSA Algorithm

2017 ◽  
Vol 7 (11) ◽  
pp. 181
Author(s):  
Ali Saleh Al Najjar
Keyword(s):  
Information Security ◽  
Image Encryption ◽  
Color Images ◽  
Public Key ◽  
Open Channels ◽  
Image Security ◽  
Rsa Algorithm ◽  
The Media ◽  
Encrypted Images ◽  
Difficult Issue

Absolute protection is a difficult issue to maintain the confidentiality of images through their transmission over open channels such as internet or networks and is a major concern in the media, so image Cryptography becomes an area of attraction and interest of research in the field of information security. The paper will offer proposed system that provides a special kinds of image Encryption image security, Cryptography using RSA algorithm for encrypted images by HEX function to extract HEX Code and using RSA public key algorithm, to generate cipher image text. This approach provides high security and it will be suitable for secured transmission of images over the networks or Internet.

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Nature Inspired and Transform Based Image Encryption Techniques: A Comparative Study

2020 ◽  
Vol 5 (5) ◽  
pp. 1075-1092
Author(s):  
Bhagyashri Pandurangi R ◽  
Chaitra Bhat ◽  
Meenakshi R. Patil
Keyword(s):  
Comparative Study ◽  
Image Encryption
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