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The problem you want to make hard in Diffie-Hellman type groups is taking discrete logarithms, whereas you want exponentiation to be easy. Now when you pick a subgroup $G$ of $\mathbb Z^*_n$, the cost of exponentiation will be roughly proportional to $n$ whereas the cost of taking discrete logs will be proportional to $\sqrt{k}$ where $k$ is the order of the ...


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You can start by reading: https://github.com/openssl/openssl/blob/master/engines/ccgost/README.gost It has examples on how to generate GOST certificates. After that I would suggest running a test SSL/TLS connection with those certificates and openssl s_client and openssl s_server utilities. If it works, you may then recompile OpenSSL and make it dump all ...



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