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Abstract

An individual secure computation server apparatus in a secure computation system computes, by using a cyclic permutation shared by secure computation server apparatuses except one of the secure computation server apparatuses, a value of a cyclic permutation for the one secure computation server apparatus, performs a fraud detection by performing an equality check on values of cyclic permutations computed by the other secure computation server apparatuses, constitutes a random cyclic permutation by synthesizing the cyclic permutations, applies the random cyclic permutation to the share in the sequence, computes a share which indicates an index and to which the random cyclic permutation has been applied by adding a share having a shift amount of the cyclic permutation to the share which indicates the index, reconstructs the share which indicates the index and to which the random cyclic permutation has been applied, and selects a share corresponding to the reconstructed index.

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