Design of S-Box Based on the Discrete Chaos Synchronization Systems

2013 ◽  
Vol 373-375 ◽  
pp. 1874-1880
Author(s):  
Dan Dan Han ◽  
Hong Yan Zang ◽  
Le Quan Min
Keyword(s):  
Affine Transformation ◽  
Chaos Synchronization ◽  
Initial Condition ◽  
Generalized Synchronization ◽  
Synchronization System ◽  
Discrete Chaos ◽  
New System

Based on the theorem of generalized synchronization for discrete chaos systems, a new discrete chaos synchronization system was designed. Using the new system and the properties of sensitive dependent on initial condition, a novel S-box generation approach was proposed. An affine transformation was used to shuffle S-box. Testing the cryptographic properties shows that the S-box generated in the proposed algorithm has sound cryptographic performance.

Switching between Complete Synchronization and Generalized Synchronization in an Open-Loop Unidirectional Optical Chaos Synchronization System

2011 ◽  
Vol 31 (2) ◽  
pp. 0214008
Author(s):  
李能尧 Li Nengyao ◽  
吴加贵 Wu Jiagui ◽  
吴正茂 Wu Zhengmao ◽  
丁灵 Ding Ling ◽  
沈金亭 Shen Jinting ◽  
...  
Keyword(s):  
Chaos Synchronization ◽  
Open Loop ◽  
Generalized Synchronization ◽  
Complete Synchronization ◽  
Synchronization System ◽  
Optical Chaos

Novel Cryptography Technique via Chaos Synchronization of Fractional-Order Derivative Systems

2018 ◽  
pp. 404-437
Author(s):  
Alain Giresse Tene ◽  
Timoleon Crépin Kofane
Keyword(s):  
Fractional Order ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Order Derivative ◽  
Random Numbers ◽  
Generation Process ◽  
Initial Condition ◽  
Fractional Order Derivative ◽  
Q Matrix ◽  
Fractional System

Synchronization of fractional-order-derivative systems for cryptography purpose is still exploratory and despite an increase in cryptography research, several challenges remain in designing a powerful cryptosystem. This chapter addresses the problem of synchronization of fractional-order-derivative chaotic systems using random numbers generator for a novel technique to key distribution in cryptography. However, there is evidence that researchers have approached the problem using integer order derivative chaotic systems. Consequently, the aim of the chapter lies in coding and decoding a text via chaos synchronization of fractional-order derivative, the performance analysis and the key establishment scheme following an application on a text encryption using the chaotic Mathieu-Van Der Pol fractional system. In order to improve the level of the key security, the Fibonacci Q-matrix is used in the key generation process and the initial condition; the order of the derivative of the responder system secretly shared between the responder and the receiver are also involved. It followed from this study that compared to the existing cryptography techniques, this proposed method is found to be very efficient due to the fact that, it improves the key security.

scholarly journals Breaking projective chaos synchronization secure communication using filtering and generalized synchronization

2005 ◽  
Vol 24 (3) ◽  
pp. 775-783 ◽  
Author(s):  
G. Álvarez ◽  
Shujun Li ◽  
F. Montoya ◽  
G. Pastor ◽  
M. Romera
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Generalized Synchronization

A discrete-time chaos synchronization system for electronic locking devices

2016 ◽  
Vol 225 (13-14) ◽  
pp. 2655-2667 ◽  
Author(s):  
G. Minero-Ramales ◽  
D. López-Mancilla ◽  
Carlos E. Castañeda ◽  
G. Huerta Cuellar ◽  
R. Chiu Z. ◽  
...  
Keyword(s):  
Discrete Time ◽  
Chaos Synchronization ◽  
Synchronization System

scholarly journals Chaos synchronization in fractional differential systems

2013 ◽  
Vol 371 (1990) ◽  
pp. 20120155 ◽  
Author(s):  
Fengrong Zhang ◽  
Guanrong Chen ◽  
Changpin Li ◽  
Jürgen Kurths
Keyword(s):  
Chaos Synchronization ◽  
Projective Synchronization ◽  
Generalized Synchronization ◽  
Complete Synchronization ◽  
Differential Systems ◽  
Function Projective Synchronization ◽  
Fractional Differential Systems ◽  
Recent Developments ◽  
Fractional Differential ◽  
Hybrid Projective Synchronization

This paper presents a brief overview of recent developments in chaos synchronization in coupled fractional differential systems, where the original viewpoints are retained. In addition to complete synchronization, several other extended concepts of synchronization, such as projective synchronization, hybrid projective synchronization, function projective synchronization, generalized synchronization and generalized projective synchronization in fractional differential systems, are reviewed.

Complete inverse chaos synchronization, parameter mismatches and generalized synchronization in the multi-feedback Ikeda model

2008 ◽  
Vol 36 (2) ◽  
pp. 211-216 ◽  
Author(s):  
E.M. Shahverdiev ◽  
R.A. Nuriev ◽  
L.H. Hashimova ◽  
E.M. Huseynova ◽  
R.H. Hashimov ◽  
...  
Keyword(s):  
Chaos Synchronization ◽  
Generalized Synchronization
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