Smart’s Protocol Sample Clauses

Smart’s Protocol. Smart’s pairing-based scheme [58] combines the ideas of Boneh and Franklin [9] and Joux’s tripartite Xxxxxx-Xxxxxxx protocol [32]. If A and B wish to agree on a session key, they each select a private ephemeral key a, b ∈ Z∗q and generate the corresponding public ephemeral key aP, bP ∈ G1 respectively. A then sends TA = aP to B, who sends TB = bP back to A. User A then computes kA = ê(aQB, P0) · ê(SA, TB) and user B computes kB = ê(bQA, P0) · ê(SB, TA). The scheme is consistent because kA = kB = ê(aQB + bQA, P0). A B a ∈ Z∗q TA b ∈ Z∗q → kA = ê(aQB , P0) · ê(SA , TB) −−−−− TB kB = ê(bQA , P0) · ê(SB , TA) ← −−−−− K = kA = kB = ê(aQB + bQA, P0) FK = H1(KǁabP) Figure 3: Smart’s Protocol (modified by Chen and Xxxxx) → Originally, Smart’s protocol did not offer perfect forward secrecy. [15] addressed this by changing the agreed session key to FK = H1(KǁabP) where H1 : G2 × G1 {0, 1}k. Another variant of Smart’s protocol that also achieves perfect forward secrecy was pro- posed by Choie et al. [19], discussed in Section 4.2.4.
Sample 1
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