Citation
Kamel Ariffin, Muhammad Rezal and Nek Abd Rahman, Normahirah
(2016)
New weak findings upon RSA modulo of type N = p2 q.
Global Journal of Pure and Applied Mathematics, 12 (4).
pp. 31593185.
ISSN 09731768; ESSN: 09739750
Abstract
This paper proposes new attacks on RSA with the modulus N = p2 q. The first attack is based on the equation eX −NY = p2 u+q2 v +Z such that u is an integer multiple of 2 and v is an integer multiple of 3. If p2 u − q2 v < N1/2, Z ■(p^2  q^2  @3(p^2 + q^2)) < N1/3 and X < ▁((■(N@3(p^2 u + q^2 v))) ̅ ) then N can be factored in polynomial time using continued fractions. For the second and third attacks, this paper proposes new vulnerabilities in k RSA Moduli Ni = p_i^2 qi for k ≥ 2 and i = 1,...,k. The attacks work when k RSA public keys (Ni, ei) are related through eix − Niyi = p_i^2 u + q_i^2 v + zi or eixi − Niy = p_i^2 u + q_i^2 v + zi where the parameters x, xi, y, yi and zi are suitably small.
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Additional Metadata
Item Type:  Article 

Divisions:  Faculty of Science Institute for Mathematical Research 
Publisher:  Research India Publications 
Keywords:  RSA; Factorization; Continued fraction; LLL algorithm; Simultaneous diophantine approximations 
Depositing User:  Ms. Ainur Aqidah Hamzah 
Date Deposited:  18 Mar 2022 07:18 
Last Modified:  18 Mar 2022 07:18 
URI:  http://psasir.upm.edu.my/id/eprint/53380 
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