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A Realization Scheme for the Identity-Based Cryptosystem

  • Hatsukazu Tanaka
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 293)

Abstract

At the Crypto’84, Shamir has presented a new concept of the identity-based cryptosystem, but no idea is presented on the realization scheme. In this paper a new realization scheme of the modified identity-based cryptosystem has been proposed. The basic idea of the scheme is based on the discrete logarithm problem and the difficulty of factoring a large integer composed of two large primes. The scheme seems to be very secure if all members of the system keep their secret keys safe, but if a constant number of users conspire, the center secret will be disclosed, Then it has a close relation to the well-known “threshold scheme”. To cope with the conspiracy, the basic system is extended to get a new scheme of which “threshold” becomes higher. Detail considerations on the scheme are also given.

References

  1. [1]
    A. Shamir, “Identity-based cryptosystems and signature schemes,” Proceedings of CRYPTO’ 84, Lecture Notes in Computer Science 196, Springer Verlarg, 1985.Google Scholar
  2. [2]
    A. Shamir, “How to share a secret,” Comm. ACM, vol.22, No.11, Nov. 1979.Google Scholar
  3. [3]
    R.J. McEliece and D.V. Sarwate, “On sharing secrets and Reed-Solomon codes,” Comm. ACM, vol.24, No.9, Sept. 1981.Google Scholar
  4. [4]
    Data Encryption Standard. Federal Information Processing Standards (IFIPS) Publication No. 46, National Bureau of Standards, January 1977.Google Scholar
  5. [5]
    S. Miyaguchi, “Criteria for the strength of encipherment and standardization for cryptographic techniques,” Proceedings of the 1986 Symposium on Cryptography and Information Security, Feb. 1986.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Hatsukazu Tanaka
    • 1
  1. 1.Department of Electrical EngineeringKobe UniversityRokko, Nada, KobeJapan

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