OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 18292–18302

Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography

Ido Kanter, Maria Butkovski, Yitzhak Peleg, Meital Zigzag, Yaara Aviad, Igor Reidler, Michael Rosenbluh, and Wolfgang Kinzel  »View Author Affiliations


Optics Express, Vol. 18, Issue 17, pp. 18292-18302 (2010)
http://dx.doi.org/10.1364/OE.18.018292


View Full Text Article

Enhanced HTML    Acrobat PDF (1210 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Random bit generators (RBGs) constitute an important tool in cryptography, stochastic simulations and secure communications. The later in particular has some difficult requirements: high generation rate of unpredictable bit strings and secure key-exchange protocols over public channels. Deterministic algorithms generate pseudo-random number sequences at high rates, however, their unpredictability is limited by the very nature of their deterministic origin. Recently, physical RBGs based on chaotic semiconductor lasers were shown to exceed Gbit/s rates. Whether secure synchronization of two high rate physical RBGs is possible remains an open question. Here we propose a method, whereby two fast RBGs based on mutually coupled chaotic lasers, are synchronized. Using information theoretic analysis we demonstrate security against a powerful computational eavesdropper, capable of noiseless amplification, where all parameters are publicly known. The method is also extended to secure synchronization of a small network of three RBGs.

© 2010 OSA

OCIS Codes
(060.4510) Fiber optics and optical communications : Optical communications
(060.4785) Fiber optics and optical communications : Optical security and encryption

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: July 6, 2010
Revised Manuscript: August 1, 2010
Manuscript Accepted: August 1, 2010
Published: August 10, 2010

Citation
Ido Kanter, Maria Butkovski, Yitzhak Peleg, Meital Zigzag, Yaara Aviad, Igor Reidler, Michael Rosenbluh, and Wolfgang Kinzel, "Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography," Opt. Express 18, 18292-18302 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-17-18292


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. A. Nielsen, and I. L. Chuang, Quantum Computation and Quantum Information. (Cambridge University Press, Cambridge, 2000).
  2. D. R. Stinson, Cryptography: Theory and Practice. (CRC Press, Boca Raton, 1995).
  3. R. G. Gallager, Principles of Digital Communication. (Cambridge University Press, Cambridge, 2008).
  4. C. H. Bennett, C. Hand, and G. Brassard, “Quantum Cryptography: Public key distribution and coin tossing,” Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, p. 175 (1984).
  5. A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67(6), 661–663 (1991). [CrossRef] [PubMed]
  6. V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, “The security of practical quantum key distribution,” Rev. Mod. Phys. 81(3), 1301–1350 (2009). [CrossRef]
  7. N. Metropolis and S. Ulam, “The Monte Carlo method,” J. Am. Stat. Assoc. 44(247), 335–341 (1949). [CrossRef] [PubMed]
  8. S. Asmussen, and P. W. Glynn, Stochastic Simulation: Algorithms and Analysis. (Springer-Verlag, New York, 2007).
  9. T. E. Murphy and R. Roy, “Chaotic lasers: The world's fastest dice,” Nat. Photonics 2(12), 714–715 (2008). [CrossRef]
  10. A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008). [CrossRef]
  11. I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009). [CrossRef] [PubMed]
  12. I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh, “An optical ultrafast random bit generator,” Nat. Photonics 4(1), 58–61 (2010). [CrossRef]
  13. K. Hirano, T. Yamazaki, S. Morikatsu, H. Okumura, H. Aida, A. Uchida, S. Yoshimori, K. Yoshimura, T. Harayama, and P. Davis, “Fast random bit generation with bandwidth-enhanced chaos in semiconductor lasers,” Opt. Express 18(6), 5512–5524 (2010). [CrossRef] [PubMed]
  14. E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 066214 (2006). [CrossRef] [PubMed]
  15. I. Kanter, E. Kopelowitz, and W. Kinzel, “Public channel cryptography: chaos synchronization and Hilbert’s tenth problem,” Phys. Rev. Lett. 101(8), 084102 (2008). [CrossRef] [PubMed]
  16. M. Zigzag, M. Butkovski, A. Englert, W. Kinzel, and I. Kanter, “Zero lag synchronization of chaotic units with time-delayed couplings,” Europhys. Lett. 85(6), 60005 (2009). [CrossRef]
  17. R. J. Jones, P. S. Spencer, J. Lawrence, and D. M. Kane, “Influence of external cavity length on the coherence collapse regime in laser diodes subject to optical feedback,” IEEE Proc. Optoelectron. 148(1), 7–12 (2001). [CrossRef]
  18. R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980). [CrossRef]
  19. V. Ahlers, U. Parlitz, and W. Lauterborn, “Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(6), 7208–7213 (1998). [CrossRef]
  20. E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(4), 046201 (2006). [CrossRef] [PubMed]
  21. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005). [CrossRef] [PubMed]
  22. T. M. Cover, and J. A. Thomas, Elements of Information Theory (John Wiley and Sons, New York, 1991).
  23. V. Flunkert, O. D’Huys, J. Danckaert, I. Fischer, and E. Schöll, “Bubbling in delay-coupled lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(6), 065201 (2009). [CrossRef] [PubMed]
  24. J. Kestler, W. Kinzel, and I. Kanter, “Sublattice synchronization of chaotic networks with delayed couplings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(3), 035202 (2007). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited