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If a user (other than the data owner) possesses the secret key in symmetric searchable encryption scheme are they able to run the trapdoor algorithm, or is this not publicly available?

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    $\begingroup$ In an academic cryptographic context, any algorithm is assumed public (except in specific domains like code obfuscation); that's the second of Kerckhoffs's principles. $\endgroup$ – fgrieu Jul 4 '14 at 14:38

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