FULLY HOMOMORPHIC ENCRYPTION WITH POLYLOG OVERHEAD

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BACKGROUND • Homomorphic Encryption over Polynomials Rings • Polynomial-CRT representation, plaintext slots • Homomorphic SIMD operations
Page 1 and 2: FULLY HOMOMORPHIC ENCRYPTION WITH P
Page 3 and 4: Contemporary HE Schemes • The [Ge
Page 5: Our Approach • Use HE over polyno
Page 10 and 11: x x Aside: an ℓ-SELECT Operation
Page 12 and 13: + So you want to compute some funct
Page 14 and 15: Routing Values Between Levels + •
Page 16 and 17: ℓ-ADD, ℓ-MUL, ℓ-PERMUTE: ℓ-
Page 21 and 22: From Shifts to Arbitrary Permutatio
Page 23 and 24: Realizing Permutation Networks a 1
Page 25 and 26: Realizing Permutation Networks Clai
Page 28 and 29: Low Overhead Homomorphic Encryption
Page 30 and 31: Handling Large Permutations • Can
Page 32 and 33: Decomposing Permutations 13 18 14 1
Page 38 and 39: Fan-Out and Cloning 2 3 1 1 2 2 1 x

FULLY HOMOMORPHIC ENCRYPTION WITH POLYLOG OVERHEAD

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