An energy efficient Montgomery modular multiplier for security systems using reversible gates

Recently, Security requirements forelectronic transactions have become an important concern. RSA is the widely adopted public key algorithms. The RSA public key cryptography uses modular exponentiation operation both for encryption and decryption. A famous approach is Montgomery modular multiplication decreases the multiplication period dramatically. Today's system loses information after every logic operation. The amount of energy dissipated for every lost bit is KTln2. Reversible logic has gained much interest in recent years due to its ability in preserving the information without any energy loss. Therefore Montgomery modular multiplier designed using reversible logic gates gives better energy efficiency in terms of number of gates used, number of garbage outputs produced and quantum costs.