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Published November 2019 | Submitted
Book Section - Chapter Open

Fast generalized DFTs for all finite groups

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|^(ω/2+ ϵ)) operations, for any ϵ > 0. Here, ω is the exponent of matrix multiplication.

Additional Information

© 2019 IEEE. Supported by NSF grant CCF-1815607 and a Simons Foundation Investigator grant.

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August 19, 2023
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