Certificateless Key Agreement Using Key Confirmation Sample Clauses

Certificateless Key Agreement Using Key Confirmation. ‌ Although authenticated key agreement (AK) provides the assurance that nobody except the intended party can compute the session key, it may in sometimes be desirable to have some kind of confirmation as to whether the key has been successfully created or not. An AKC protocol can be derived from an AK protocol by adding the MACs of the flow number, identities, and the ephemeral keys. This section describes an AKC variant of the proposed AK protocol and uses a method identical to that of Xxxxx-Xxxxxx et al in [6] which has been proven secure in the random oracle model. In turn, other schemes [15, 58] have also adopted this method in providing explicit authentication of messages. In the following protocol, MACs are used for providing key confirmation and are computed under the key FK′ = H3(K abP xAxBP) where H3 is a key derivation function independent1 from H2. A B −−−−−−−−→ a ∈ Z∗q TA, PA ← TB, PB, MACFK ' (2, IDB, IDA, TB, TA, PB, PA) −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− → MACFK ' (3, XXX, IDB, TA, TB, PA, PB) −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− K = KA = KB = ê(QB, P)a(s+xB) · ê(QA, P)b(s+xA) FK = H2(K abP xAxBP) Figure 10: Proposed AK Protocol with Key Confirmation b ∈ Z∗q A starts the protocol in the usual way by sending TA, PA ∈ G1 to B. After having re- ceived the message, B returns TB, PB and a MAC computed under the key FK′ containing the flow number, identities, ephemeral keys, and the public keys. Both long-term and short-term public keys must be included as they can be replaced by an adversary. The MAC is computed under a key known only to A and B in order to maintain key indistin- guishability. A then computes the MAC value as B would and checks that it is identical to the one provided in the message. If the MAC values match, A confirms to B by creating a new MAC, also computed under FK′. Although key confirmation introduces one additional flow, the MACs can be computed efficiently and thus the AKC protocols have essentially the same computational overhead as the AK protocols. Assuming that the ephemeral keys are different in each run, one may heuristically argue that the desired key confirmation is obtained.
Sample 1
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