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Paper 2015/1137
A New Factoring Attack on Multi-Prime RSA with Small Prime Difference
Mengce Zheng and Honggang Hu
Abstract
In this paper, we study the security of multi-prime RSA whose modulus is N=p_1p_2...p_r for r>=3 with small prime difference of size N^\gamma. In ACISP 2013, Zhang and Takagi showed a Fermat-like factoring attack, which can directly factor N for \gamma<1/r^2. We improve this bound to theoretically achieve \gamma<2/(r(r+2)) by a new factoring attack. Furthermore, we also analyse specific MPRSA with imbalanced prime factors. Experimental results are provided to show the efficiency of our attack.
Note: We remove the latex from the abstract on the web to make it easy to read.
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint.
- Keywords
- Factoring attackmulti-prime RSAsmall prime differencecryptanalysislattice
- Contact author(s)
- mczheng @ mail ustc edu cn
- History
- 2018-03-18: last of 2 revisions
- 2015-11-26: received
- See all versions
- Short URL
- https://ia.cr/2015/1137
- License
-
CC BY