Multi-parameter modulation for secure communication via Lorenz chaos

2002 ◽  
Author(s):  
Y. Song ◽  
X. Yu
Keyword(s):  
Secure Communication ◽  
Parameter Modulation

scholarly journals RETURN-MAP CRYPTANALYSIS REVISITED

2006 ◽  
Vol 16 (05) ◽  
pp. 1557-1568 ◽  
Author(s):  
SHUJUN LI ◽  
GUANRONG CHEN ◽  
GONZALO ÁLVAREZ
Keyword(s):  
Secure Communication ◽  
Original Publication ◽  
Parameter Modulation ◽  
Return Map ◽  
Modulation Schemes ◽  
Chaotic Parameter ◽  
Defensive Mechanism

As a powerful cryptanalysis tool, the method of return-map attacks can be used to extract secret messages masked by chaos in secure communication schemes. Recently, a simple defensive mechanism was presented to enhance the security of chaotic parameter modulation schemes against return-map attacks. Two techniques are combined in the proposed defensive mechanism: Multistep parameter modulation and alternative driving of two different transmitter variables. This paper restudies the security of this proposed defensive mechanism against return-map attacks, and points out that the security was much over-estimated in the original publication for both ciphertext-only attack and known/chosen-plaintext attacks. It is found that a deterministic relationship exists between the shape of the return map and the modulated parameter, and that such a relationship can be used to dramatically enhance return-map attacks thereby making them quite easy to break the defensive mechanism.

scholarly journals SECURE DIGITAL SIGNAL TRANSMISSION BY MULTISTEP PARAMETER MODULATION AND ALTERNATIVE DRIVING OF TRANSMITTER VARIABLES

2001 ◽  
Vol 11 (07) ◽  
pp. 2031-2036 ◽  
Author(s):  
P. PALANIYANDI ◽  
M. LAKSHMANAN
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Lorenz System ◽  
Signal Transmission ◽  
Digital Signal ◽  
Digital Signals ◽  
Parameter Modulation ◽  
Attractor Reconstruction ◽  
Simple Mechanism ◽  
The Lorenz System

The idea of secure communication of digital signals via chaos synchronization has been plagued by the possibility of attractor reconstruction by eavesdroppers as pointed out by Pérez and Cerdeira. In this Letter, we wish to present a very simple mechanism by which this problem can be overcome, wherein the signal is transmitted via a multistep parameter modulation combined with alternative driving of different transmitter variables, which makes the attractor reconstruction impossible. The method is illustrated by means of the Lorenz system and Chua's circuit as examples.

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