A method for generating cryptographic parameters comprises generating a private_IGTABLE based on an Euler totient function of a composite number (φ(n)), where the private_IGTABLE includes a plurality of random numbers (x). Further, a public_IGTABLE based on the private_IGTABLE, a composite number (n), and a group generator element (g) is generated, where the public_IGTABLE includes a corresponding modular exponentiation under modulo n for each of the plurality of random numbers with g as base. Further, a public key of a user is computed based on the public_IGTABLE, an identity number (ID) corresponding to the user, and n. Further, a secret key of the user is generated based on the ID, a master private key, the φ(n), and the private_IGTABLE. Thereafter, the cryptographic parameters are provided to the user for performing encryption and decryption, where the cryptographic parameters include at least one of the ID, the public key, and the secret key.