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S. Lee, D. Choi and Y. Choi proposed an improved countermeasure algorithm of RSA cryptosystem with Chinese Remainder Theorem to prevent fault attack. In this paper, we introduce new fault attacks on their countermeasure algorithm. Our analysis shows that the attacker can obtain an erroneous signature by injecting some faults during the RSA signing computation. Thus the attacker can recover the RSA...
D. Catalano, R. Gennaro and S. Halevi had proposed a modular inversion protocol for computing a shared RSA private exponent. In this paper, we propose the security analysis of this shared modular inversion protocol. Firstly, we prove that Catalano-Gennaro-Halevi protocol is insecure when the public exponent is larger than a specific integer. Secondly, it is shown that a fraction of the private exponent...
At IMA-Crypto & Coding' 99, A. M. Barmawi et al. proposed a robust protocol for generating shared RSA parameters, which was claimed to be secure and robust from cheaters and malicious parties. In this paper, we propose a cryptanalysis of A. M. Barmawi's protocol and show that every valid participating party can recover the factorization of the RSA modulus N with the computational complexity O(log...
In 2003, M.-S. Hwang et al. proposed a (t, n) threshold proxy scheme on RSA cryptosystem, which was proved insecure by G. Wang. Recently, Y.-F. Chang and X. Cheng proposed two improved RSA-based threshold proxy signature schemes respectively. In this paper, we propose the cryptanalysis of two schemes. Firstly, we point out that any t or more proxy signers can cooperatively recover the original singer's...
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