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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.

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