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Such keys are called static keys. Keys that are newly generated each time are called ephemeral keys. Note that you need to trust the public keys of the key pairs to use them for authentication. Please note that there is an issue if you use static keys only for plain Diffie-Hellman: the generated secret will be static as well, as the whole scheme has now ...


Yes, the same keypairs can be used to derive shared secrets between multiple pairs of parties. If knowing the shared secret between Alice and Bob would help Eve find out the shared secret between Alice and Carol, Eve could just create her own random private key and calculate a "shared" secret between that key and Alice's public key to get the same ...

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