Hybrid Cryptosystem dengan Martino Homomorphic Encryption dan Generalization of The ElGamal

Abstract

Digital data security has become a significant challenge in the ever-evolving digital era. Asymmetric cryptographic systems, such as the Generalization of the ElGamal, excel in providing high security due to the difficulty of solving discrete logarithms in large prime modulo. However, this algorithm is inefficient for handling large-sized documents and has slower encryption speeds. Conversely, symmetric algorithms like Martino Homomorphic Encryption offer high encryption and decryption speeds, with the added advantage of the avalanche effect, ensuring significant changes in ciphertext with minor alterations in the key or plaintext. Nonetheless, symmetric algorithms face challenges in secure key management. This study proposes a hybrid cryptosystem combining the strengths of these two algorithms. The Generalization of the ElGamal algorithm secures symmetric key distribution, while the Martino Homomorphic Encryption algorithm encrypts actual data efficiently. This hybrid cryptosystem can enhance the efficiency and security of digital data transmission, providing optimal protection against cyber threats.