Public-channel cryptography based on mutual chaos pass filters

Klein, Einat; Gross, Noam; Kopelowitz, Evi; Rosenbluh, M.; Khaykovich, Lev; Kinzel, Wolfgang; Kanter, Ido

doi:10.1103/physreve.74.046201

Cited by 64 publications

(44 citation statements)

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“…In the event of τ c = τ d = τ and for a wide range of the mutual coupling strength, σ, and the strength of the self-feedback, κ, the stationary solution is isochronal synchronization [2,5,9]. The quantity with which we measure the degree of synchronization between the two lasers is the timedependent cross correlation, ρ, defined as…”

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confidence: 99%

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“…We investigate this phenomenon numerically and show first experiments which support our numerical simulations. The demonstrated difference between de-and re-synchronization can be used to improve the security of public-channel communication with chaotic lasers [2].Semiconductor (diode) lasers subjected to delayed optical feedback are known to displays chaotic oscillations. Two coupled semiconductor lasers exhibit chaos synchronization.…”

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confidence: 99%

“…Two coupled semiconductor lasers exhibit chaos synchronization. Different coupling setups such as unidirectional or mutual coupling and variations of the strength of the self and coupling feedback result in different synchronization states: the two lasers can synchronize in a leaderlaggard or anticipated mode [3,4], as well as in two different synchronization states; achronal synchronization in which the lasers assume a fluctuating leading role, or isochronal synchronization where there is no time delay between the two lasers' chaotic signals [2,5,6,7,8].In this Letter we focus on a symmetric setup, the time delay between the lasers is denoted by τ c and the time delay of the self-feedback is denoted by τ d . In the event of τ c = τ d = τ and for a wide range of the mutual coupling strength, σ, and the strength of the self-feedback, κ, the stationary solution is isochronal synchronization [2,5,9].…”

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Synchronization of Mutually Coupled Chaotic Lasers in the Presence of a Shutter

et al. 2007

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Two mutually coupled chaotic diode lasers exhibit stable isochronal synchronization in the presence of self feedback. When the mutual communication between the lasers is discontinued by a shutter and the two uncoupled lasers are subject to self-feedback only, the desynchronization time is found to scale as A d τ where A d > 1 and τ corresponds to the optical distance between the lasers. Prior to synchronization, when the two lasers are uncorrelated and the shutter between them is opened, the synchronization time is found to be much shorter, though still proportional to τ . As a consequence of these results, the synchronization is not significantly altered if the shutter is opend/closed faster than the desynchronization time. Experiments in which the coupling between two chaotic-synchronized diode lasers is modulated with an electro-optic shutter are found to be consistent with the results of numerical simulations.PACS numbers: 05.45. Vx, 42.65.Sf, 42.55.Px Chaotic systems are characterized by an irregular motion which is sensitive to initial conditions and tiny perturbations. Nevertheless, two chaotic systems can synchronize their irregular motion when they are coupled [1]. When the coupling is switched off, any tiny perturbation drives the two trajectories apart. The separation is exponentially fast, and it is described by the largest Lyapunov exponents of a single system.In this Letter we show that the trajectory dynamics of coupled chaotic systems which also poses time-delayed self-feedback, is different. In a system with self-feedback, which has also been investigated in the context of secure communication with chaotic lasers [2], the time scale for the separation of the trajectories is found to be much longer than the coupling time. On the other hand, when the coupling is switched on, resynchronization occurs on a faster time scale. We investigate this phenomenon numerically and show first experiments which support our numerical simulations. The demonstrated difference between de-and re-synchronization can be used to improve the security of public-channel communication with chaotic lasers [2].Semiconductor (diode) lasers subjected to delayed optical feedback are known to displays chaotic oscillations. Two coupled semiconductor lasers exhibit chaos synchronization. Different coupling setups such as unidirectional or mutual coupling and variations of the strength of the self and coupling feedback result in different synchronization states: the two lasers can synchronize in a leaderlaggard or anticipated mode [3,4], as well as in two different synchronization states; achronal synchronization in which the lasers assume a fluctuating leading role, or isochronal synchronization where there is no time delay between the two lasers' chaotic signals [2,5,6,7,8].In this Letter we focus on a symmetric setup, the time delay between the lasers is denoted by τ c and the time delay of the self-feedback is denoted by τ d . In the event of τ c = τ d = τ and for a wide range of the mutual coupling strength, σ, and the stre...

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Synchronization of Mutually Coupled Chaotic Lasers in the Presence of a Shutter

et al. 2007

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“…The same question could be asked regarding the security of chaos cryptography [21][22][23], which is based on a similar synchronization principle [24]. Consequently, probabilistic attacks should be envisioned and tested there, too.…”

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Successful attack on permutation-parity-machine-based neural cryptography

Seoane¹,

Ruttor²

2012

Phys. Rev. E

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An algorithm is presented which implements a probabilistic attack on the key-exchange protocol based on permutation parity machines. Instead of imitating the synchronization of the communicating partners, the strategy consists of a Monte Carlo method to sample the space of possible weights during inner rounds and an analytic approach to convey the extracted information from one outer round to the next one. The results show that the protocol under attack fails to synchronize faster than an eavesdropper using this algorithm. Interacting feed-forward neural networks can synchronize by mutual learning [1,2]. If two networks A and B are trained with examples consisting of random inputs and the corresponding output of the other one, their weight vectors converge. In the case of tree parity machines (TPMs) this mutual synchronization of A and B requires fewer examples than training a third network E successfully [3][4][5][6][7]. Based on this effect a TPM-based neural key-exchange protocol has been developed [8][9][10][11] and shown to be useful in embedded devices [12,13] as well as being sufficiently secure against several attacks [7].

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Secure Communication with Chaos Synchronization

Kinzel

Kanter

2007

Handbook of Chaos Control

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Public-channel cryptography based on mutual chaos pass filters

Cited by 64 publications

References 19 publications

Synchronization of Mutually Coupled Chaotic Lasers in the Presence of a Shutter

Synchronization of Mutually Coupled Chaotic Lasers in the Presence of a Shutter

Successful attack on permutation-parity-machine-based neural cryptography

Secure Communication with Chaos Synchronization

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