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Others will use "rainbow tables," which list encrypted values for nearly every alphanumeric character combination up to a certain length.
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A symmetric order-preserving cryptography scheme preserves the order relation among the encrypted values [20]: for all i and j and for all keys k, E k,i
By using a separate domain for encrypted messages, we essentially rule out the possibility of guessing the encrypted value of a number.
There are numerous comparison protocols designed for comparing encrypted values [15, 16, 18].
The additively homomorphic property of the scheme enables computing with encrypted values: [ a]·[ b]=[a+b], where we ignore the modulus operator for convenience.
As mentioned before, smart meters encrypt the power consumption using the Paillier cryptosystem, which is semantically secure under the decisional composite residuosity assumption (for more information about the security of Paillier cryptosystem, we refer reader to [24]); thus, Alice (data aggregator) has only encrypted values.
Encrypt individual bytes by raising to the e power modulo m using Russian peasant arithmetic algorithm (see the encryption appendix) and send the encrypted value to server.
For OPE applied to integer values, the output set is bigger than the input set meaning that no two values will have the same encrypted value.
Computational record protection is ensured because the attacker only learns something about the confidential attribute combination name/salary if they know the encryption key for the encrypted salary values.
Install FreeOTFE or TrueCrypt to create encrypted volumes for your sensitive data.
Queries are formulated in terms of their OPE encrypted Hilbert values and AES encrypted data points corresponding to encrypted Hilbert values are returned.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com