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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Partial Key Exposure Attack on RSA – Improvements for Limited Lattice Dimensions
verfasst von : Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra
Erschienen in: Progress in Cryptology - INDOCRYPT 2010
Verlag: Springer Berlin Heidelberg
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Consider the RSA public key cryptosystem with the parameters
N
=
pq
,
q
<
p
< 2
q
, public encryption exponent
e
and private decryption exponent
d
. In this paper, cryptanalysis of RSA is studied given that some amount of the Most Significant Bits (MSBs) of
d
is exposed. In Eurocrypt 2005, a lattice based attack on this problem was proposed by Ernst, Jochemsz, May and de Weger. In this paper, we present a variant of their method which provides better experimental results depending on practical lattice parameters and the values of
d
. We also propose a sublattice structure that improves the experimental results significantly for smaller decryption exponents.