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Fast generalized DFTs for all finite groups

Published 8 Jan 2019 in cs.DS and math.GR | (1901.02536v1)

Abstract: For any finite group $G$, we give an arithmetic algorithm to compute generalized Discrete Fourier Transforms (DFTs) with respect to $G$, using $O(|G|{\omega/2 + \epsilon})$ operations, for any $\epsilon > 0$. Here, $\omega$ is the exponent of matrix multiplication.

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