Cryptanalysis of the Cryptosystem Based on DLP γ = α^aβ^b

Abstract

A critique of the proposed encryption scheme based on the DLP γ = α^aβ^b 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.