Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 11, 17 November 2023


Open Access | Article

Development of RSA and some attack points

Xurui Zhang * 1
1 SanJiang University

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, Vol. 11, 1-7
Published 17 November 2023. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Xurui Zhang. Development of RSA and some attack points. TNS (2023) Vol. 11: 1-7. DOI: 10.54254/2753-8818/11/20230367.

Abstract

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.

Keywords

CRT, RSA, continued fractions.

References

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.

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
ISBN (Print)
978-1-83558-133-9
ISBN (Online)
978-1-83558-134-6
Published Date
17 November 2023
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/11/20230367
Copyright
17 November 2023
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated