Advertisement

An augmented family of cryptographic Parity Circuits

  • Kenji Koyama
  • Routo Terada
Implementation(Hard/Soft)
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1396)

Abstract

A computationally inexpensive involution called value dependent swapping is introduced. This involution is included in the non-linear cryptographic family of functions called Parity Circuits to increase its non-affineness and thus increase its strength against cryptanalysis. Our analysis shows that this augmented version of Parity Circuits still has fundamental cryptographic properties. The addition of this involution introduces a new type of randomization while preserving the invertibility of the functions being defined. We formulate affineness for a general function, and introduce a normalized non-affineness measure. We prove some non-affineness conditions for the augmented Parity Circuits, and evaluate their non-affineness. We suggest the value-dependent swapping can also be incorporated into DES-like cryptographic functions as well to make them stronger against cryptanalysis.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Biham, E. and A. Shamir: Differential Cryptanalysis of DES-like Cryptosystems. presented at CRYPTO'90 (Aug.), 1990.Google Scholar
  2. 2.
    Kaneko, T., Koyama, K. and R. Terada: Dynamic swapping schemes and Differential Cryptanalysis. IEICE Transactions on Fundamentals, vol. E77-A, pp 1328–1336, 1994.Google Scholar
  3. 3.
    Koyama, K. and R. Terada: Nonlinear Parity Circuits and Their Cryptographic Applications. Proceedings of CRYPTO'90, 1990.Google Scholar
  4. 4.
    Nakao, Y., Kaneko, T., Koyama, K. and R. Terada: The security of an RDES cryptosystem against Linear Cryptanalysis. IEICE Transactions on Fundamentals, vol. E79-A, pp 12–19, 1996.Google Scholar
  5. 5.
    Rueppel, R.A.: Analysis and Design of Stream Ciphers. Springer-Verlag, Berlin, 1986.Google Scholar
  6. 6.
    Youssef, A.M., and S.E. Tavares: Cryptanalysis of ‘nonlinear-parity circuits'. Electronic Letters, vol. 33 (7), pp. 585–586, 1997.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Kenji Koyama
    • 1
  • Routo Terada
    • 2
  1. 1.Nippon Telegraph and Telephone C.S. LabsSouraku-gun, KyotoJapan
  2. 2.University of S. PauloComputer Science Dept.Bra[sz]il

Personalised recommendations