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FULLY HOMOMORPHIC ENCRYPTION WITH POLYLOG OVERHEAD

FULLY HOMOMORPHIC ENCRYPTION WITH POLYLOG OVERHEAD

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Realizing Permutation Networks<br />

• Every level takes 2 shifts and 2 SELECTs<br />

• There are 2log(ℓ) levels<br />

�Any permutation on ℓ-arrays can be<br />

realized using 4log(ℓ) shifts and 4log(ℓ)<br />

SELECTs<br />

• Some more complications when ℓ is not a<br />

power of two<br />

• But still only O(log ℓ) operations

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