The Iso-RSA Cryptographic Scheme

This paper shows one way that can be used to strengthen the RSA cryptographic scheme which was published in 1978 by Ron Rivest, Adi Shamir, and Len Adleman. We use the isonumber theory of the first kind which was developed by Santilli where the unit one of normal arithmetic is replaced with a new unit called an isounit. The proposed cryptosystem possesses both characteristics of symmetric and asymmetric encryption and therefore can be seen as a hybrid public-key and private-key cryptographic system that benefits from both types of the cryptographic method with a substantial increase in security of the associated ciphers. Additionally, applications and implementations of the Iso-RSA cryptosystem for the encryption and decryption of information encoded into positive integers or binary digits of 0s or 1s are implemented, and simulation results show that our proposed cryptographic system produces highly secure encrypted information. A wide range of other applications in security mechanisms and security services which include data confidentiality, authentications, data integrity, digital signature, key exchange, and others can be implemented using our proposed Iso-RSA cryptographic scheme.