The privacy preserving multiset union (PPMU) protocol allows a set of parties, each with a multiset, to collaboratively compute a multiset union secretly, meaning that any information other than union is not revealed. We propose an efficient PPMU protocol, using multiplicative homomorphic property of ElGamal encryption over Fq[x]/f(x) where q is a prime and f(x) is an irreducible polynomial ove...

Hill Cipher is a one of the symmetric key cryptography algorithm that using an invertible matrix with order n×n as to encrypt and decrypt plaintext. Meanwhile, ElGamal other asymmetric use complexity discrete logarithms in encryption decryption process. In this study, authors are interest combine algorithms secure text messages. The author converts plaintext table ASCII 256. Then which results ...

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this scheme are discussed. We outline that this scheme is potentially semantically secure under reasonable cryptographic assumptions. 1. Some algorithmic problems fo...

A critique of the proposed encryption scheme based on the DLP γ = αβ is provided. It is described how a plaintext can be obtained from a valid ciphertext by computing a single traditional discrete logarithm in a cyclic group. Furthermore, it is shown that the proposed encryption scheme is in fact equivalent to the ElGamal encryption scheme.