Citation
Nek Abd Rahman, Normahirah and Kamel Ariffin, Muhammad Rezal and Asbullah, Muhammad Asyraf and Yunos, Faridah
(2018)
New vulnerability on system of Ni = p²iqi using good approximation of Φ(N).
In: 6th International Cryptology and Information Security Conference 2018 (CRYPTOLOGY2018), 9-11 July 2018, Port Dickson, Negeri Sembilan, Malaysia. (pp. 139-150).
Abstract
This paper proposes new vulnerability in m moduli of the form Ni = p2iqi for m ≥ 2 and i = 1, ...,m. The attack works when m public keys (Ni, ei) there exist m relations of the form eid − kΦ (Ni) = 1 or eidi − kiΦ (Ni) = 1 with the parameters d, di, k and ki are suitably small. By using the term N − 2N2/3 − N1/3 as a good approximation of Φ(N) applying the LLL algorithm enables one to factor m moduli of the form Ni = p2iqi simultaneously.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Keywords: | Factorization; LLL algorithm; Simultaneous diophantine approximations |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 Mar 2019 00:04 |
| Last Modified: | 04 Mar 2019 00:04 |
| URI: | http://psasir.upm.edu.my/id/eprint/66552 |
| Statistic Details: | View Download Statistic |
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