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There exist polynomial time attacks against RSA signatures with constant padding. So, this actually does not exploit the missing check for the padding. It uses index calculus The latest paper that I am aware of in this series is http://www.dtc.umn.edu/~odlyzko/doc/index.calculation.rsa.pdf but you might also be interested in this paper: ...


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If you were using $e=3$, then there is a well known attack by Bleichenbacher that enables the trivial generation of a signature that passes verification. This attack was never published, but is described here. Note that this attack appeared in a real vulnerability in Kindle (and some versions of Android). In any case, the attack does not work for $e=65536$. ...



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