Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Series Vol. 11 , 17 November 2023
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Currently, the relatively popular public key encryption is RSA. It was officially launched in 1978 and given their initials as a name. Different encryption and decryption keys are used in the RSA public-key cryptosystem. Deriving decryption keys from known encryption keys is computationally difficult. Rsa has emerged in various forms since its development. Since the development of RSA, there have been various forms, which means there are various loopholes. Next, we will summarize several interesting attack methods of rsa. It will involve continued fractions and CRT and so on. Through this paper, one can learn a series of knowledge about rsa. As a classic asymmetric password, the value of rsa's existence is relatively high, and exploring its value is something that every password learner should experience. Through this article, one will learn about the most basic attack methods of rsa.
CRT, RSA, continued fractions.
1. Gautam Gopal Krishnan(2016) Continued Fractions.
2. Rauz, P. and Guilley, S. (2014) A Formal Proof of Countermeasures Against Fault Injection Attacks on CRT-RSA. Available at: https://eprint.iacr.org/2013/506.pdf .
3. Fouqu, P.-A., Guillermi, N. and Leresteu, elphine (no date) Attacking RSA{CRT signatures with faults on Montgomery multiplication, Attacking RSA–CRT Signatures with Faults on Montgomery Multiplica. Available at: https://eprint.iacr.org/2012/172.pdf (Accessed: March 15, 2023).
4. D. Boneh, R. A. DeMillo, and R. J. Lipton. On the importance of checking cryptographic protocols for faults. In EUROCRYPT, pages 37–51, 1997.
5. Dan Boneh, Richard A. DeMillo, and Richard J. Lipton. On the Importance of Checking Cryptographic Protocols for Faults. In Proceedings of Eurocrypt’97, volume 1233 of LNCS, pages 37–51. Springer, May 11-15 1997. Konstanz, Germany. DOI: 10.1007/3-540-69053-0 4
6. Dujella, A. (no date) A variant of Wiener’s attack on RSA - eprint.iacr.org, A variant of Wiener’s attack on R. Available at: https://eprint.iacr.org/2008/459.pdf (Accessed: March 15, 2023).
7. E. R. Verheul, H. C. A. van Tilborg, Cryptanalysis of ‘less short’ RSA secret exponents, Appl. Algebra Engrg. Comm. Computing 8 (1997), 425–435.
8. R. T. Worley, Estimating |α − p/q|, Austral. Math. Soc. Ser. A 31 (1981), 202–206.
9. A. Dujella, Continued fractions and RSA with small secret exponent, Tatra Mt. Math. Publ. 29 (2004), 101–112.
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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