Fast Eigenvector Algorithm for Discrete Fourier Transform and Number Theoretic Transform
本篇論文由三部分組成,在第一部分中,我們將討論數論中的兩個主題,分別是高斯和以及拉瑪努江和。我們不但要討論這兩個和的基本特性,還要研究它們在數位訊號處理的應用,尤其是在數位傅立葉轉換中的應用。由於數論轉換在某些特性上跟數位傅立葉轉換很像,所以我們也會提到它。 本論文的第二部分是在探討快速的位元反轉演算法,使用的方法是向量式的計算。這個新方法利用了MATLAB在計算向量方面的優勢,可以用短短的四行程式來實現。 最後,我們在第三部分將專注於退化四元數,又稱雙複數。雙複數有兩種運用 ...
張國韋, Chang, Kuo-Wei
core
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Large polynomial multiplication is one of the computational bottlenecks in fully homomorphic encryption implementations. Usually, these multiplications are implemented using the number-theoretic transformation to speed up the computation.
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