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Cryptanalysis of a public key cryptosystem based on two cryptographic assumptions

Cryptanalysis of a public key cryptosystem based on two cryptographic assumptions

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Baocang and Yupu proposed a relatively fast public key cryptosystem. The authors claim that the security of their system is based on two number-theoretic hard problems, namely the simultaneous Diophantine approximation problem and the integer factorisation problem. In this article we present a polynomial time heuristic attack that enables us to recover the private key from the public key. In particular, we show that breaking the system can be reduced to finding a short vector in a lattice which can be achieved using the L3-lattice reduction algorithm.

References

    1. 1)
      • Youssef, A.M., Gong, G.: `Cryptanalysis of a public key cryptosystem proposed at ACISP 2000', Proc. ACISP01, July 2001, Sydney, Australia, p. 15–20, Lect. Notes Comput. Sci., 2119.
    2. 2)
      • Boneh, D., Venkatesan, R.: `Hardness of computing the most significant bits of secret keys in Diffie-Hellman and related schemes', Proc. of CRYPTO '96, Aug. 1996, Santa Barbara, CA, USA, p. 129–142, Lect. Notes Comput. Sci., 1109.
    3. 3)
      • Nguyen, P., Stern, J.: `Cryptanalysis of the Ajtai-Dwork Cryptosystem', Advances in Cryptology, Proc. CRYPTO' 98, Aug. 1998, Santa Barbara, CA, USA, p. 223–242, Lect. Notes Comput. Sci., 1462.
    4. 4)
      • Nguyen, P., Stern, J.: `Cryptanalysis of a fast public key cryptosystem presented at SAC '97', Proc. Workshop on Selected Areas in Cryptography, Aug. 1998, Kingston, Canada, p. 213–218, Lect. Notes Comput. Sci., 1556.
    5. 5)
      • Nguyen, P., Stern, J.: `Lattice reduction in cryptology: An update Algorithmic Number Theory', Proc. of ANTS-IV, July 2000, p. 85–112, Lect. Notes Comput. Sci., 1838.
    6. 6)
      • I. Niven , H.S. Zuckerman . (1966) An introduction to the theory of numbers.
    7. 7)
      • W. Baocang , H. Yupu . Public key cryptosystem based on two cryptographic assumptions. IEE Proc. Commun. , 6 , 861 - 865
    8. 8)
      • A.J. Menezes , P.C. van Oorschot , S.A. Vanstone . (1996) Handbook of applied cryptographic research.
    9. 9)
      • A.K. Lenstra , H.W. Lenstra , L. Lovász . Factoring polynomials with rational coefficients. Math. Ann. , 515 - 534
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