Secure Communication with Chaos Synchronization

Kinzel, Wolfgang; Kanter, Ido

doi:10.1002/9783527622313.ch14

Cited by 10 publications

(8 citation statements)

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“…Therefore, methods to generate a secret key over a public channel are desired. Recently, the synchronization of mutually coupled lasers was suggested as a way to generate a private key in the two agents of a communication link in the framework of public channel cryptography (Klein, Gross, Kopelowitz et al, 2006;Kinzel and Kanter, 2008;Vicente, Mirasso, and Fischer, 2007).…”

Section: Applications Of Delay-coupled Lasersmentioning

confidence: 99%

Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers

et al. 2013

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Complex phenomena in photonics, in particular, dynamical properties of semiconductor lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long time, these phenomena now open interesting perspectives. Semiconductor laser systems represent excellent test beds for the study of nonlinear delay-coupled systems, which are of fundamental relevance in various areas. At the same time delay-coupled lasers provide opportunities for photonic applications. In this review an introduction into the properties of single and two delay-coupled lasers is followed by an extension to network motifs and small networks. A particular emphasis is put on emerging complex behavior, deterministic chaos, synchronization phenomena, and application of these properties that range from encrypted communication and fast random bit sequence generators to bioinspired information processing.

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Section: Applications Of Delay-coupled Lasersmentioning

confidence: 99%

Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers

et al. 2013

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“…The unidirectional configuration has been realized in a communication network over 120 km [15]. In terms of chaos communication, where such a setup is called chaos masking [16], one can think of the perturbation being a message which shall be secretly transmitted on top of a chaotic carrier signal. The message is small compared to the carrier signal and for our purpose its content may be considered as random noise.…”

Section: The Two Units Setupmentioning

confidence: 99%

“…In the following the sender transmits a binary message of the form m t = ±M with M 1 and m = 0 which is reconstructed by the receiver by subtracting its own state from the received signal [16]. The recovered messagem t is then given bỹ…”

Section: B Bit Error Ratementioning

confidence: 99%

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Chaos pass filter: Linear response of synchronized chaotic systems

et al. 2013

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The linear response of synchronized time-delayed chaotic systems to small external perturbations, i.e., the phenomenon of chaos pass filter, is investigated for iterated maps. The distribution of distances, i.e., the deviations between two synchronized chaotic units due to external perturbations on the transfered signal, is used as a measure of the linear response. It is calculated numerically and, for some special cases, analytically. Depending on the model parameters this distribution has power law tails in the region of synchronization leading to diverging moments of distances. This is a consequence of multiplicative and additive noise in the corresponding linear equations due to chaos and external perturbations. The linear response can also be quantified by the bit error rate of a transmitted binary message which perturbs the synchronized system. The bit error rate is given by an integral over the distribution of distances and is calculated analytically and numerically. It displays a complex nonmonotonic behavior in the region of synchronization. For special cases the distribution of distances has a fractal structure leading to a devil's staircase for the bit error rate as a function of coupling strength. The response to small harmonic perturbations shows resonances related to coupling and feedback delay times. A bi-directionally coupled chain of three units can completely filtered out the perturbation. Thus the second moment and the bit error rate become zero.

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“…In many of these systems, the intended application is secure communications, for which it is often assumed that security is obtained by masking or encoding the information in the natural complexity of chaos. In practice, the level of security depends on the actual encoding used to embed the message in the chaotic waveform [15,16], and it is now generally recognized that chaos does not automatically provide the high level of security that was originally assumed [17][18][19].…”

Section: Introductionmentioning

confidence: 99%