Is Guillou-Quisquater existentially unforgeable against adaptive message attack under a random oracle model?
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First of all, the Guillou-Quisquater digital signature scheme is: Note everything is $\bmod n$. Message is denoted by $m$. Private key: $s$ Public key: Hash function $H$, $e$, $L=s^e\bmod n$ To sign: Alice chooses random $r$. Computes $c=H(m||x)$ with $x=r^e\bmod n$; $y=r\cdot s^c\bmod n$; send Bob $x$ and $y$. To verify: Bob computes $c=H(m||x)$ and accept if $y^e \equiv x\cdot L^c\pmod n$. I'm wondering what the strongest known security of this is, in particular the question in the title...
Answer:
Guillo-Quisquater scheme uses the Fiat-Shamir trick to convert a proof of knowledge into a signature...
Samuel Reid at Cryptography Mark as irrelevant Undo
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