Efficiently Processing Complex-Valued Data in Homomorphic Encryption

Bootland Carl; Castryck Wouter; Iliashenko Ilia; Vercauteren Frederik

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Efficiently Processing Complex-Valued Data in Homomorphic Encryption

机译：高效地处理同态加密中的复合数据

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We introduce a new homomorphic encryption scheme that is natively capable of computing with complex numbers. This is done by generalizing recent work of Chen, Laine, Player and Xia, who modified the Fan-Vercauteren scheme by replacing the integral plaintext modulus t by a linear polynomial X - b. Our generalization studies plaintext moduli of the form X-m + b. Our construction significantly reduces the noise growth in comparison to the original FV scheme, so much deeper arithmetic circuits can be homomorphically executed.

机译：我们介绍了一种新的同态加密方案，它本身就具有计算复数的能力。这是通过推广陈、莱恩、普莱尔和夏最近的工作来实现的，他们通过用线性多项式X-b替换整型明文模t来修改了Fan-Vercauteren方案。我们的推广研究了形式为X-m+b的明文模。与原始FV方案相比，我们的构造显著降低了噪声增长，因此，更深层次的算术电路可以同态执行。

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来源
《Journal of mathematical cryptology》 |2020年第1期|共11页
作者
Bootland Carl; Castryck Wouter; Iliashenko Ilia; Vercauteren Frederik;
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作者单位

Katholieke Univ Leuven IMEC COSIC Kasteelpk Arenberg 10-2452 B-3001 Leuven Belgium;

Katholieke Univ Leuven Dept Math Celestijnenlaan 200B B-3001 Leuven Belgium;

Katholieke Univ Leuven IMEC COSIC Kasteelpk Arenberg 10-2452 B-3001 Leuven Belgium;

Katholieke Univ Leuven IMEC COSIC Kasteelpk Arenberg 10-2452 B-3001 Leuven Belgium;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
homomorphic encryption; data encoding;

机译：None;

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6. Efficient and Secure kNN Classification over Encrypted Data Using Vector Homomorphic Encryption [C] . Haomiao Yang, Weichao He, Jie Li, IEEE International Conference on Communications . 2018

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9. Efficiently Processing Complex-Valued Data in Homomorphic Encryption [O] . Carl Bootland, Wouter Castryck, Ilia Iliashenko, 2020

机译：有效地处理同态加密中的复值数据
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Efficiently Processing Complex-Valued Data in Homomorphic Encryption

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