Strong Scheme Sample Clauses

Strong Scheme. S S For our ID-based strong challenge-response signature, the simulator needs to provide Wj∗ in addition to W∗ which satisfy the relation eˆ(W ∗, Wj∗) = eˆ(QB, QA) for certain users A and B. This requires the forgery game of our basic scheme to be modified such that the adversary can choose two identities A and B after simulator outputted the system parameter. The security of our strong scheme depends on a variant of BDH problem of (P, xP, yP, zP ), in which yz−1P is also included in the problem instance. It is easy to see that the proof for our basic scheme works equally well since a valid Wj∗ can be returned by returning yz−1P , if S sets H(XXX) = yP .
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Related to Strong Scheme

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