Thanks for info!

So, EC crypto uses standard curves, and temp ECDH parameters consists
of choice of one of these curves.
After rereading s_server documentation, noticed -named_curve option
and it seems to be equivalent to -dhparam option for DH. That explains
everything so far.

nistp256 is the same as secp256k1?
s_server documentation (output of s_server -?) says that nistp256 is
the default, but such exact name is not present in output of
ecparam -list_curves.

> 2011/7/1 yyy <y...@inbox.lv>:
>> Hello!
>>
>> s_server (and probably other TLS servers), requires ECDH parameters, if
>> using ECDH ciphersuites. (probably similarily as for DH parameters with DH
>> ciphersuites).
>> It seems, that these are supposed to be generated using:
>> ecparam -name 'name_of_named_curve',
>> but this always generates the same output (it seems to be somehow encoded
>> name of that curve).
> Generating a curve (ie, 'domain parameters') can be tricky business
> due to point counting. In practice, one uses a standard curve observed
> by ANSI, IETF, IEEE, NIST, etc. For example,
> http://tools.ietf.org/html/rfc5349. If you want a custom curve, I
> recommend a tool such as Marcel Martin's Elliptic Curve Builder (ECB).
> 
> A private key (and public) are selected once domain parameters have
> been chosen. The private key is 'x' or 'd' (a multiplier), which
> results in a public key 'Q' (a point). The relationship is Q = x*G,
> where G is the base point.
> 
>> DH parameters contained randomly changing data. ECDH, for key exchange, only
>> needs specified curve and nothing else?
> During key establishment, ephemeral keys (throw away public and
> private keys) will be used.
> 
> If you want to generate a private key, try:
> $ openssl ecparam -name secp256k1 -genkey -param_enc explicit -outform
> DER -out ec-openssl.der
> 
> To get the public key:
> $ openssl ecparam -param_enc explicit -name secp256k1 -genkey -outform
> PEM -out ec-openssl.pem
> $ openssl ec -param_enc explicit -inform PEM -in ec-openssl.pem
> -pubout -outform DER -out ec-openssl.der
> 
> Jeff


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