Encryption test of pseudo-aleatory messages embedded on chaotic laser signals: an information theory approach. (English) Zbl 1217.94104
Summary: In this Letter, we make use of two information-theory based indicators to measure the goodness of two encryption schemes commonly used within the context of chaotic communications. In particular, we have shown that the computation of the normalized Shannon entropy and the MPR-Statistical Complexity measure [M. T. Martín, A. Plastino and O. A. Rosso, ibid. 311 No. 2-3, 126–132 (2003; Zbl 1060.60500); P. W. Lamberti, M. T. Martín, A. Plastino and O. A. Rosso, Physica A 334, 119 (2004)] for different chaotic laser signals can lead to statistically significant criteria to assess the quality of several encryption techniques. The proposed measures allow, in some cases, to detect the presence of a message embedded within a chaotic carrier. They also reveal that the Chaos Modulation scheme is more reliable from the statistical point of view, when compared with the Chaos Shift Keying.
MSC:
| 94A60 | Cryptography |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 94A17 | Measures of information, entropy |
| 68Q19 | Descriptive complexity and finite models |
Citations:
Zbl 1060.60500References:
| [1] | Rivet, R.; Shamir, A.; Adleman, L., Commun. ACM, 21, 120 (1978) · Zbl 0368.94005 |
| [2] | Martín, M. T.; Plastino, A.; Rosso, O. A., Phys. Lett. A, 311, 126 (2003) · Zbl 1060.60500 |
| [3] | Lamberti, P. W.; Martín, M. T.; Plastino, A.; Rosso, O. A., Physica A, 334, 119 (2004) |
| [4] | Rosso, O. A.; Martín, M. T.; Figliola, A.; Keller, K.; Plastino, A., J. Neurosci. Methods, 153, 163 (2006) |
| [5] | Larrondo, H. A.; Martín, M. T.; González, C. M.; Plastino, A.; Rosso, O. A., Phys. Lett. A, 352, 421 (2006) · Zbl 1187.65003 |
| [6] | Zunino, L.; Perez, D. G.; Martín, M. T.; Plastino, A.; Garavaglia, M.; Rosso, O. A., Phys. Rev. E, 75, 021115 (2007) |
| [7] | A.M. Kowalski, M.T. Martín, A. Plastino, O.A. Rosso, Physica D (2007), in press; A.M. Kowalski, M.T. Martín, A. Plastino, O.A. Rosso, Physica D (2007), in press |
| [8] | Martín, M. T.; Plastino, A.; Rosso, O. A., Physica A, 369, 439 (2006) |
| [9] | Argyris, A.; Syvridis, D.; Larger, L.; Annovazzi-Lodi, V.; Colet, P.; Fischer, I.; Garcia-Ojalvo, J.; Mirasso, C. R.; Pesquera, L.; Shore, K. A., Nature, 438, 343 (2005) |
| [10] | López-Ruiz, R.; Mancini, H. L.; Calbet, X., Phys. Lett. A, 209, 321 (1995) |
| [11] | Wootters, W. K., Phys. Rev. D, 23, 357 (1981) |
| [12] | Bandt, C.; Pompe, B., Phys. Rev. Lett., 88, 174102 (2002) |
| [13] | Keller, K.; Lauffer, H., Int. J. Bifur. Chaos, 13, 2657 (2003) · Zbl 1046.37054 |
| [14] | Keller, K.; Sinn, M., Physica A, 356, 121 (2005) |
| [15] | Lang, R.; Kobayashi, K., IEEE J. Quantum Electron., 16, 347 (1980) |
| [16] | Vicente, R.; Dauden, J. L.; Colet, P.; Toral, R., IEEE J. Quantum Electron., 16, 347 (2004) |
| [17] | Donati, S.; Mirasso, C., IEEE. J. Quantum Electron., 38, 1138 (2002) |
| [18] | Larger, L.; Goedgebuer, J.-P., C. R. Acad. Sci.-Dossier Phys., 5, 609 (2004) |
| [19] | Mirasso, C. R.; Mulet, J.; Masoller, C., Phot. Tech. Lett., 14, 456 (2002) |
| [20] | Montgomery, D. C., Design and Analysis of Experiments (1996), John Willy & Sons: John Willy & Sons New York |
| [21] | Grassberger, P., Helvetica Phys. Acta, 62, 498 (1989) |
| [22] | Schuster, H. G., Deterministic Chaos (1988), VCH: VCH Weinheim · Zbl 0707.58003 |
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