Long Polynomial Modular Multiplication Using Low-Complexity Number Theoretic Transform [Lecture Notes]

Long Polynomial Modular Multiplication Using Low-Complexity Number Theoretic Transform [Lecture Notes]
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DOI:
10.1109/msp.2024.3368239
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发表时间:
2023-06
影响因子:
14.9
通讯作者:
S.W. Chiu;K. Parhi
S.W. Chiu;K. Parhi
中科院分区:
工程技术1区
文献类型:
--
作者:
S.W. Chiu;K. Parhi

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本教程旨在建立多项式模乘法在环到圆卷积和离散傅立叶变换(DFT)之间的联系。主要目标是将众所周知的DFT理论在信号处理(SP)中扩展到涉及环中多项式的其他应用,例如同态加密(HE)。
This tutorial aims to establish connections between polynomial modular multiplication over a ring to circular convolution and the discrete Fourier transform (DFT). The main goal is to extend the well-known theory of the DFT in signal processing (SP) to other applications involving polynomials in a ring, such as homomorphic encryption (HE).