CRYPTO NEWS

Range proof for elgamal ciphertext

Alice has an ElGamal public key $y=g^x$. Bob encrypts a value $g^b$ based on Alice’s Elgamal public key and he ends up with a ciphertext $(g^by^r, g^r)$. Can Bob prove that the value $b$ is in some range without revealing it or do you need to be the "owner" of the ElGamal secret key $x$ to create such proofs?

If $g^b$ is confusing then ignore it and consider a value $b$, I just need to know if I can create a range proof without knowing the $x$.

Range proof for elgamal ciphertext

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