Probabilistic Encryption--A Practical Implementation

This paper aims to provide a practical implementation of a probabilistic cipher by extending on the algorithms by Fuchsbauer, Goldwasser and Micali. We provide details on designing and implementing the cipher and further support our understanding by providing a statistical analysis of our implementation for the key generation, encryption, and decryption times taken by the cipher for key sizes of 1024, 2048, and 4096 bits for varying message spaces of 750, 1500, 3000, and 5000 bits. The concept of 'inter-bit operating time' is introduced for the cipher which calculates time elapsed between two instances of an operation. We show the working of a probabilistic cipher purely from a practical standpoint to justify if its original algorithm is practically implementable.