Practical Frameworks for H-Out-of-N Oblivious Transfer With Security Against Covert and Malicious Adversaries

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The authors present two practical frameworks for h-out-of-n Oblivious Transfer (OTn h). The first one is secure against covert adversaries who are not always willing to cheat at any price. The security is proven under the ideal/real simulation paradigm (call such security fully simulatable security). The second one is secure against malicious adversaries who are always willing to cheat. It provides fully simulatable security and privacy respectively for the sender and the receiver (call such security one-sided simulatable security). The two frameworks can be implemented from the Decisional Diffie-Hellman (DDH) assumption, the decisional N-th residuosity assumption,