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A special three-party secure computation problem is studied in which one of three pairwise interacting parties is required to compute a function of the sequences held by the other two when one of the three parties may arbitrarily deviate from the computation protocol (active behavioral model). For this problem, information-theoretic conditions for secure computation are developed within the real versus ideal model simulation paradigm. Conditions for the passive behavioral model are also provided. A pure one-time-pad based protocol for securely computing the Hamming distance between binary sequences is developed and is shown, using the information-theoretic security conditions, to be secure under both the active and passive behavioral models.
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