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Erschienen in:
2007 | OriginalPaper | Buchkapitel
An Elliptic Curve Backdoor Algorithm for RSASSA
verfasst von : Adam Young, Moti Yung
Erschienen in: Information Hiding
Verlag: Springer Berlin Heidelberg
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We present the first (1,2)-SETUP algorithm for the RSA digital signature scheme with appendix. A SETUP algorithm
C
′ is an algorithmic modification of algorithm
C
that (1) contains an asymmetric backdoor that can only be used by the designer, even if the backdoor algorithm is fully public, and (2) ensures that the public outputs of
C
and
C
′ are computationally indistinguishable under black-box queries. The SETUP is presented in RSASSA-PSS and it transmits the RSA private key within two w.l.o.g consecutive digital signatures. This problem has been solved for DSA and other discrete-log based digital signature algorithms, but not RSA. We therefore solve a long-standing problem in kleptography.