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1

It doesn't seem that openssl is capable of doing this itself, especially against servers that don't advertise RSA-MD5 support but will still accept it (e.g. OpenSSL pre-1.0.1e). But see https://securitypitfalls.wordpress.com/2016/01/06/testing-for-sloth/ which appears to provide a handcrafted TLS1.2 client that will test for the broken behaviour. I haven't ...

2

(Q1) Assuming that you talk about the size of the secret key elements which equals the input size of the OWF when you talk about the "input", this should be at least as much as the output size. Consider a function $f: \{0,1\}^m \rightarrow \{0,1\}^n$.The thing to worry about when you choose $m < n$ is a brute force search for a preimage, which in this ...

3

If you use a one-time pad as your encryption function then this simplifies to a proof that Alice knows some $F$ that hashes to $H$. $K$ can be trivially derived from $F$ and $E(K, F)$ by xor-ing. An interactive zero-knowledge proof of this simpler problem - Alice proving she knows a pre-image of $H(F)$ - would go something like this: You need to use a ...

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