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During the Diffie-Hellman key exchange, the server sends a Diffie-Hellman Key Exchange Reply (31) message back to the client. This message contains the DH server f but also two other pieces of information KEX DH host key and KEX DH H signature. Could anyone please explain their meaning and what they are good for ? Thank you.

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DH server f - the exchange value used to calculate a shared secret.

KEX DH H signature - the signed exchange hash, which is used to authenticate the key exchange.

KEX DH host key - the public key of the server, used to sign the exchange hash

See RFC 4253, Section 7.2 for more details.

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