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In one aspect, a method comprises the steps of deriving a base point on an elliptic curve in a first processing device, generating authentication information in the first processing device utilizing the base point and a private key of the first processing device, and transmitting the authentication information from the first processing device to a second processing device. The base point on the elliptic curve may be derived, for example, by applying a one-way function to a current time value, or by computation based on a message to be signed.