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ElGamal is a public key encryption scheme with security based on the discrete logarithm problem.

2 votes
1 answer
1k views

Proof of correctness of an ElGamal encryption given a specific public key

Suppose Alice sends an ElGamal encryption of a value $v$ to Bob (using either the normal or exponential version of ElGamal). E.g. assuming publicly-known $pk_{BOB} = h$ and a generator $g$, Alice sen …
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2 votes
1 answer
819 views

Zero Knowledge proof of correct ElGamal encryption

Suppose for $sk = x$, $pk = g^x$ we encrypt message $m$ with ElGamal encryption as $(g^r,m\cdot pk^r)$. My goal is to prove that I performed the encryption correctly, i.e. that the same $r$ is used ac …
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