What common elements do the ElGamal cryptosystem and Diffie-Hellman key exchange share?

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What common elements do the ElGamal cryptosystem andDiffie-Hellman key exchange share?

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Diffie Hellman is a key exchange protocol It is an interactive protocol with the aim that two parties can compute a common secret which can then be used to derive a secret key typically used for some symmetric encryption scheme We have a group Zp for prime p generated by g Party A chooses random aZp and sends ga to B and B chooses random bZp and sends gb to A and both compute gab as their common DH key Plain unauthenticated Diffie Hellman is known to be susceptible to personinthemiddle attacks and this can be circumvented as for instance done in TLS by authenticating Diffie Hellman either by including the static Diffie Hellman paramters pggb of one party the server in TLS into a certificate which is signed by a trusted authority where the static parameters stay the same for all key exchanges or by requiring the server to sign the ephemeral DiffieHellman key ie gb where b is chosen randomly for every new interaction sent to the See Answer

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