On Enhancing Security for Division Homomorphism with ElGamal

Secure auctions and machine learning in cloud increasingly employs multi-party homomorphic encryption support.A modification to Elgamal public key cryptosystem was shown enable division using an encoding of plaintext as fractions with numerator denominator encrypted separately. However we notice that unlike for other cryptography schemes, the obtained homomorphism allows retrieval input secrets from result division. Since this cancels benefit encryption, propose introduction a masking operation based on random factors discuss its success operations Zp Q.