Public and Private Keys updating phase Sample Clauses

Public and Private Keys updating phase. An IoT device may have to update private and public keys because of key expiration or disclosure. In our proposed protocol, the pair of private and public keys are updated through a public channel between the IoT device and TA, as follows. Fig .8. Updating pair of private and public keys phase Step KU1: → : < , , , , > selects the random nonce ∗. It then calculates = and masked identity = ⨁ℎ( ), = ℎ( ∥ ∥ ∥ 1) and transmits message < , , , , 1 > to TA through a public channel. 1 indicates the current timestamp of generating message. Step KU2: → : < , , > TA receives the message < , , , , 1 >, and retrieves = ⨁ℎ(). It calculates = ℎ( ∥ ∥ ) and check the equality test =? ℎ( ∥ ∥ ∥ 1). If condition is not met, it terminate the session; otherwise, it recalls the corresponding values of and and computes = ⨁ℎ( ∥ ), = + , and = ( + ). After that, it selects a random nonce ∗ and obtains values of = + , = ( + ) and new public key = + . Also, TA calculates = to obtain values of = + ℎ( ∥ ), = ⨁, and = ( + )( + + ). Finally, it calculates = ℎ( ∥ ∥ ) and transmits the second message < , , > to through a public channel. TA also calculates = ⨁ℎ( ∥ ) and replaces , with , . It publishes new public key and in the public space. Step KU3: ←< , , > Upon receiving the message < , , >, calculates = ( + )( + ). Then, it retrieves = ⨁ and calculates new public key as = + and verifies new public key as =? . Then, it retrieves = − ℎ() and stores = − ℎ() in its memory. Two secrets = ( + )( + ) and ( + )( + + ) are equal as = ( + )( + ) = + + + = ( + ) + + ( + ) + = ( + )( + + ). Figure 8. demonstrate this phase.
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Public and Private Keys updating phase. An IoT device may have to update private and public keys because of key expiration or disclosure. In our proposed protocol, the pair of private and public keys are updated through a public channel between the IoT device and TA, as follows.

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