Title
Partial Prime Factor Exposure Attacks On Rsa And Its Takagi'S Variant
Abstract
There are many partial key exposure attacks on RSA or its variants under the assumption that a portion of the bits of the decryption exponent d is exposed. Sarkar and Maitra presented a further attack when some bits of the private prime factor q in the modulus N = pq are simultaneously revealed and the total number of bits of q and d required to be known is reduced compared to previous partial key exposure attacks. In this paper, for both the standard RSA with moduli N = pq and the Takagi's variant of RSA with moduli N = p(2)q, we propose partial key exposure attacks when most significant bits (MSBs) or least significant bits of q are exposed. Compared with previous results, our theoretical analysis and experimental results show a substantial improvement in reducing the number of known bits of the private key to factor N.
Year
DOI
Venue
2015
10.1007/978-3-319-17533-1_7
INFORMATION SECURITY PRACTICE AND EXPERIENCE, ISPEC 2015
Keywords
Field
DocType
RSA, partial key exposure attack, lattice, Coppersmith's method
Discrete mathematics,Exponent,Lattice (order),Moduli,Prime factor,Public-key cryptography,Mathematics
Conference
Volume
ISSN
Citations 
9065
0302-9743
1
PageRank 
References 
Authors
0.35
13
4
Name
Order
Citations
PageRank
Liqiang Peng1388.37
Lei Hu269786.91
Zhangjie Huang3194.02
Jun Xu483.51