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In x25519kyber768 what is the use of the server kyber keys if only the client public kyber key is used for encapsulation of the kyber shared secret in kem?

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There is no server side key pair for x25519kyber768.

Observe this diagram from a medium blog on the exchange

x25519kyber768

Note that the client side generates key pairs for x25519 and kyber768 while the server side only generates a pair for x25519.

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