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Published in:
2015 | OriginalPaper | Chapter
Partial Prime Factor Exposure Attacks on RSA and Its Takagi’s Variant
Authors : Liqiang Peng, Lei Hu, Zhangjie Huang, Jun Xu
Published in: Information Security Practice and Experience
Publisher: Springer International Publishing
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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
.