Further Discussion: Removing Modeling Assumptions Sample Clauses

Further Discussion: Removing Modeling Assumptions. F F All of the assumptions in our protocol come from the realization of the A-iPAKE function- ality. The A-iPAKE protocol from section 4.1.3 requires a random oracle, an ideal cipher and a CRS. We note that we can remove everything except for the CRS by, e.g., taking the PAKE protocol introduced by Xxxx and Xxxxxxxxxxxxxx [KV11]. This protocol also securely realizes our A-iPAKE functionality7. However, it is more costly than our A-iPAKE protocol since both messages each contain one non-interactive zero knowledge proof. Since fPAKE implies a regular PAKE (simply set δ = 0), Xxxxxxx et al. [CHK+05] give strong evidence that we cannot hope to realize FfPAKE without a CRS. 5 Comparison of fPAKE Protocols In this section, we give a brief comparison of our fPAKE protocols. First, in Figure 11, we describe the assumptions necessary for the two constructions, and the security parameters that they can achieve.
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