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Homomorphic Encryption for Arithmetic of Approximate …

Homomorphic Encryptionfor Arithmetic of Approximate NumbersJung Hee Cheon1, Andrey Kim1, Miran Kim2, and Yongsoo Song11 Seoul National University, Republic of Korea{jhcheon, kimandrik, of California, San suggest a method to construct a Homomorphic Encryption scheme for approxi-mate Arithmetic . It supports an Approximate addition and multiplication of encrypted messages,together with a newrescalingprocedure for managing the magnitude of plaintext. This proce-dure truncates a ciphertext into a smaller modulus, which leads to rounding of plaintext.}

approximate arithmetic such as oating-point operations. In addition to the basic approximate circuits, we show that our scheme can be applied to the e cient evaluation of transcendental functions such as multiplicative inverse, exponential function, logistic function and discrete Fourier transform. Keywords. Homomorphic encryption, approximate ...

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