Triple-Protocol – A New Direction of Elliptic-Curve Cryptography

The original triple-protocol is proposed, which is a modification of the well-known Massey - Omura protocol, but greatly improves it from the standpoint of efficiency and enables data to be validated for integrity and authenticity without the use of hash functions. This is ensured by forwarding through open channels to an external ("cloud") information carrier (and also directly to a participant in the information exchange) of some data obtained from mathematical and logical transformations above the original message. The combined use of modulo exponentiation and the XOR logical operation ("exclusive OR") ensures that unauthorized access for an intruder is impossible, bypassing the difficult mathematical problem of discrete logarithm (ECDLP), on which all the algorithms for data transfer on elliptical curves are based.