On the Composability of Statistically Secure Random Oblivious Transfer

On the Composability of Statistically Secure Random Oblivious Transfer

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We show that random oblivious transfer protocols that are statistically secure according to a definition based on a list of information-theoretical properties are also statistically universally composable.That is, they are simulatable secure with an Planter unlimited adversary, an unlimited simulator, and an unlimited environment machine.Our result implies that several Formula 1 box previous oblivious transfer protocols in the literature that were proven secure under weaker, non-composable definitions of security can actually be used in arbitrary statistically secure applications without lowering the security.