Ciphertext-only attack on RSA using lattice basis reduction
Joint Authors
Ibrahim, Anas
Chefranov, Alexander
Hamamrah, Rushdi
Source
The International Arab Journal of Information Technology
Issue
Vol. 18, Issue 2 (31 Mar. 2021), pp.237-247, 11 p.
Publisher
Zarqa University Deanship of Scientific Research
Publication Date
2021-03-31
Country of Publication
Jordan
No. of Pages
11
Main Subjects
Information Technology and Computer Science
Abstract EN
We use lattice basis reduction for ciphertext-only attack on RSA.
Our attack is applicable in the conditions when known attacks are not applicable, and, contrary to known attacks, it does not require prior knowledge of a part of a message or key, small encryption key, , or message broadcasting.
Our attack is successful when a vector, comprised of a message and its exponent, is likely to be the shortest in the lattice, and meets Minkowski's Second Theorem bound.
We have conducted experiments for message, keys, and encryption/decryption keys with sizes from 40 to 8193 bits, with dozens of thousands of successful RSA cracks.
It took about 45 seconds for cracking 2001 messages of 2050 bits and for large public key values related with Euler’s totient function, and the same order private keys.
Based on our findings, for RSA not to be susceptible to the proposed attack, it is recommended avoiding RSA public key form used in our experiments.
American Psychological Association (APA)
Ibrahim, Anas& Chefranov, Alexander& Hamamrah, Rushdi. 2021. Ciphertext-only attack on RSA using lattice basis reduction. The International Arab Journal of Information Technology،Vol. 18, no. 2, pp.237-247.
https://search.emarefa.net/detail/BIM-1430926
Modern Language Association (MLA)
Ibrahim, Anas…[et al.]. Ciphertext-only attack on RSA using lattice basis reduction. The International Arab Journal of Information Technology Vol. 18, no. 2 (Mar. 2021), pp.237-247.
https://search.emarefa.net/detail/BIM-1430926
American Medical Association (AMA)
Ibrahim, Anas& Chefranov, Alexander& Hamamrah, Rushdi. Ciphertext-only attack on RSA using lattice basis reduction. The International Arab Journal of Information Technology. 2021. Vol. 18, no. 2, pp.237-247.
https://search.emarefa.net/detail/BIM-1430926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 245-247
Record ID
BIM-1430926