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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. Themain idea is to add a noise following significant figures which contain a main message.}

Homomorphic Encryption for Arithmetic of Approximate Numbers Jung Hee Cheon1, Andrey Kim1, Miran Kim2, and Yongsoo Song1 1 Seoul National University, Republic of Korea fjhcheon, kimandrik, lucius05g@snu.ac.kr 2 University of California, San Diego mrkim@ucsd.edu Abstract. We suggest a method to construct a homomorphic encryption scheme for approxi-

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