There is provided a system, a method, and a supersingular elliptic curve cryptography key agreement scheme performed between three cryptographic correspondent devices. The cryptographic key agreement scheme includes public key generation by each of the cryptographic correspondent devices and determination of a common key by each of the cryptographic correspondent devices. The determination of the common key includes determination by each of the cryptographic correspondent devices of resultant elliptic curves and resultant auxiliary points, and the exchange of data between the cryptographic correspondent devices.
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