KEMTLS: Post-quantum TLS without signatures
KEMTLS, therefore, achieves the same goals as TLS 1.3 (authentication, confidentiality and integrity) in the face of quantum computers. But there’s one small difference compared to the TLS 1.3 handshake. KEMTLS allows the client to send encrypted application data in the second client-to-server TLS message flow when client authentication is not required, and in the third client-to-server TLS message flow when mutual authentication is required. Note that with TLS 1.3, the server is able to send encrypted and authenticated application data in its first response message (although, in most uses of TLS 1.3, this feature is not actually used). With KEMTLS, when client authentication is not required, the client is able to send its first encrypted application data after the same number of handshake round trips as in TLS 1.3.
Intuitively, the handshake signature in TLS 1.3 proves possession of the private key corresponding to the public key certified in the TLS 1.3 server certificate. For these signature schemes, this is the straightforward way to prove possession; another way to prove possession is through key exchanges. By carefully considering the key derivation sequence, a server can decrypt any messages sent by the client only if it holds the private key corresponding to the certified public key. Therefore, implicit authentication is fulfilled. It is worth noting that KEMTLS still relies on signatures by certificate authorities to authenticate the long-term KEM keys.