Achieving Oblivious Transfer Using Weakened Security Assumptions (Extended Abstract)

Claude Crépeau, Joe Kilian · 1988

) Claude Cr'epeau Department of Computer Science MIT Joe Kilian y Mathematics Department MIT Abstract A useful paradigm in studying cryptographic scenarios is that of protocol minimalism. That is, given a cryptographic model, one wishes to determine the simplest protocols one needs in order to be able to implement secure protocols in general. In the standard cryptographic model, this approach allows one to encapsulate ones cryptographic assumptions. In other, nonstandard scenarios, the approach can greatly simplifying the task of developing protocols without cryptographic assumptions. Oblivious transfer protocols, first introduced by Rabin [R], are conceptually very simple, yet can be used to implement a wide variety of protocols([EGL],[BCR1],[K]). The versatility of these games amply motivates a wider study of the power of simple two-party games. In this paper, we present some general techniques for establishing the cryptographic strength of a wide variety of games. As case studie...

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