Chen and Xxxxx’x Protocol Sample Clauses

Chen and Xxxxx’x Protocol. ‌ In [15], Chen and Xxxxx proposed an authenticated identity-based key agreement pro- tocol. If users A and B want to establish a shared secret, they proceed as follows. A selects a random and uniformly distributed ephemeral private key a ∈ Z∗q and sends WA = aQA ∈ G1 to B. When B receives the message, he also selects a random ephemeral private key b ∈ Z∗q and sends WB = bQB ∈ G1 back to A. User A then computes the shared key KAB = ê(SA, WB + aQB) and user B computes KBA = ê(WA + bQA, SB). If both users follow the protocol correctly, they will share the same secret K = KAB = KBA = ê(QA, QB)s(a+b). A B a ∈ Z∗q WA, TA b ∈ Z∗q → KAB = ê(SA , WB + aQB) −−−−−−−−− WB, TB KBA = ê(WA + bQA , SB) ← −−−−−−−−− K = KAB = KBA = ê(QA, QB)s(a+b) FK = H1(KǁabP) Figure 4: Chen and Xxxxx’x Protocol (without escrow) In an escrowless variant of the scheme, A and B also exchange TA = aP and TB = bP → respectively, such that the final key becomes FK = H1(KǁabP) where H1 : G2 × G1 mising both short-term keys does not lead to the recovery of the established session key. However, this is only under the assumption that no such keys are recovered by the PKG.
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