Skip to main content
Log in

Quantum mechanical meet-in-the-middle search algorithm for Triple-DES

  • Articles
  • Quantum Information
  • Published:
Chinese Science Bulletin

Abstract

We present a quantum mechanical meet-in-the-middle search algorithm inosculating the quantum computing theory with cryptanalysis method and basing on the Grover’s algorithm and the meet-in- the-middle attack, which can solve the three-key triple-DES in O(56 256) steps and with O(256) memory cost. The computational complexity is apparently reduced, compared with that of the existing algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Diffie W, Hellman M. Exhaustive cryptanalysis of the NBS data encryption standard. SIAM J Comput, 1977, 10: 74–84

    Google Scholar 

  2. Merkle R, Hellman M. On the security of multiple encryption. Commun ACM, 1981, 24: 465–467

    Article  Google Scholar 

  3. FIPS 46. Data Encryption Standard (DES). Washington: Federal Information Processing Standards Publication, 1977

    Google Scholar 

  4. Shen C X, Zhang H G, Feng D G, et al. Survey of information security (in Chinese). Sci China Ser F-Inf Sci, 2007, 37: 129–150

    Google Scholar 

  5. FIPS 197. Advanced Encryption Starndard (AES). Washington: Federal Information Processing Standards Publication, 2001

    Google Scholar 

  6. Wei Y Z, Hu Y P. Predigestion of new related-key attack on AES-192 and AES-256 (in Chinese). Sci China Ser F-Inf Sci, 2009, 39: 246–253

    Google Scholar 

  7. Tuchman W. Hellman presents no shortcut solutions to DES. IEEE Spectrum. 1979, 16: 40–41

    Google Scholar 

  8. Schneier B. Applied Cryptography. 2nd ed. New York: John Wiley & Sons Press, 1996. 253–254

    Google Scholar 

  9. Phaneendra H D, Vidya R C, Shivakumar M S. Applying quantum search to a Known-Plaintext attack on two-key triple encryption. In: Shi Z, Shimohara K, Feng D, eds. Intelligent Information Processing III, Vol 228. Boston: Springer, 2006. 171–178

    Google Scholar 

  10. Feynman R. Simulating physics with computers. Int Theor Phys, 1982, 21: 467–488

    Article  Google Scholar 

  11. Chen W, Han Z F, Mo X F. Active phase compensation of quantum key distribution system (in Chinese). Chinese Sci Bull, 2007, 52: 2221–2225

    Google Scholar 

  12. Gao F, Guo F Z, Wen Q Y. Efficiency compare of different detection strategies in Ping-pong protocol (in Chinese). Sci China Ser G-Phys Mech Astron, 2009, 39: 161–166

    Google Scholar 

  13. Simon D R. On the power of quantum computation. SIAM J Comput, 1997, 26: 1474–1483

    Article  Google Scholar 

  14. Shor P W. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput, 1997, 26: 1484–1509

    Article  Google Scholar 

  15. Rivest R, Shamir A, Adleman L. On Digital Signatures and Public-key Cryptosystems. MIT Laboratory for Computer Science Technical Report. 1979

  16. Grover L K. A fast quantum mechanics algorithm for database search. In: Proceeding of the 28th ACM Symposium on Theory of Computation. New York: ACM Press, 1996. 212–219

    Google Scholar 

  17. Long G L. Grover algorithm with zero theoretical failure rate. Phys Rev A, 2001, 64: 022307

    Article  Google Scholar 

  18. Long G L, Zhang W L, Li Y S, et al. Arbitrary phase rotation can not be used in Grover’s quantum search algorithm. Commun Theor Phys, 1999, 32: 335–338

    Google Scholar 

  19. Long G L, Li Y S, Zhang W L, et al. Phase matching in quantum searching. Phys Lett A, 1999, 262: 27–34

    Article  Google Scholar 

  20. Long G L, Xiao L, Sun Y. Phase matching condition for quantum search with a generalized quantum database. Phys Lett A, 2002, 294: 143–152

    Article  Google Scholar 

  21. Alfred J M, Paul C O, Scott A V. Handbook of Applied Cryptography. Washington: CRC Press LLC, 1997. 117–119

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to WanSu Bao.

About this article

Cite this article

Zhong, P., Bao, W. Quantum mechanical meet-in-the-middle search algorithm for Triple-DES. Chin. Sci. Bull. 55, 321–325 (2010). https://doi.org/10.1007/s11434-009-0532-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11434-009-0532-5

Keywords

Navigation