filename : chosen title : A New and Optimal Chosen-message Attack on RSA-type Cryptosystems author : Bleichenbacher D, Joye M. and Quisquater J.-J. type : inproceedings organization : Lucent Technologies, Universit\'e de Louvain booktitle : Information and Communications Security (ICICS'97) series : Lecture Notes in Computer Science publisher : Springer-Verlag, Berlin editor : Y. Han, T. Okamoto, and S. Qing volume : 1334 pages : 302-313 keywords : Chosen-message attack, signature forgery, RSA, Lucas-based systems, Demytko's elliptic curve system abstract : Chosen-message attack on RSA is usually considered as an inherent property of its homomorphic structure. In this paper, we show that non-homomorphic RSA-type cryptosystems are also susceptible to a chosen-message attack. In particular, we prove that only one message is needed to mount a successful chosen-message attack against the Lucas-based systems and Demytko's elliptic curve system.