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May
8
awarded  Commentator
May
8
accepted What does $(\mathbb{Z}_n^*)^2$ mean?
May
8
comment What does $(\mathbb{Z}_n^*)^2$ mean?
@HenrickHellström: I have looked a little bit around. The theorem was copied from another paper. In the original paper they have never used quadratic residues but Cartesian products. It makes all sense now! Thanks a lot for your help!
May
8
revised What does $(\mathbb{Z}_n^*)^2$ mean?
added 265 characters in body
May
8
comment What does $(\mathbb{Z}_n^*)^2$ mean?
Thanks for your answer. I have inserted the theorem which contains $\mathbb{Z}_n^*$. I think what they really mean is $(g, h) \in (\mathbb{Z}_n^∗)^2$, or?
May
8
awarded  Editor
May
8
revised What does $(\mathbb{Z}_n^*)^2$ mean?
added 265 characters in body
May
7
asked What does $(\mathbb{Z}_n^*)^2$ mean?
Apr
28
comment Question about proof of knowledge defintion?
thanks for your answer, but I don't get why the number of trials is important. The term says that $K$ returns the secret in polynomial time ($|x|^c$), right? Do you know, why the factor $1/..$ is important (why not write just $|x|^c$)?
Apr
28
awarded  Informed
Apr
28
asked Question about proof of knowledge defintion?
Apr
15
accepted Comprehension question on a signature protocol based on the RSA assumption
Apr
14
comment Comprehension question on a signature protocol based on the RSA assumption
your answer really, really helps! Thanks a lot!!! The paper is about the CL-protocol (tor-svn.freehaven.net/anonbib/cache/camenisch2002ssep.pdf). They choose $n$ as a safe prime product, so you are right in general. What I still don't get is why they say, that the exponent (in the paper they call it $e$ instead of $x$) must be prime.
Apr
14
asked Comprehension question on a signature protocol based on the RSA assumption
Apr
12
accepted What does “adaptively secure” mean?
Apr
10
asked What does “adaptively secure” mean?
Mar
8
comment Zero-knowledge proof that a group element is a quadratic residue?
A signature of knowledge means to use the Fiat-Shamir heuristic to make a ZK proof protocol non-interactive. It uses the output of a hash function as the challenge. Security is then also based on the random oracle model.
Mar
8
asked Zero-knowledge proof that a group element is a quadratic residue?
Mar
8
awarded  Supporter
Mar
8
accepted How difficult is it to check if a group element is in a sub group?