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About: Cyclotomic fast Fourier transform     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Act100030358yago:Activity100407535yago:Algorithm105847438yago:Event100029378yago:Procedure101023820yago:PsychologicalFeature100023100yago:YagoPermanentlyLocatedEntityyago:Rule105846932yago:WikicatFFTAlgorithms New Facet based on Instances of this Class

The cyclotomic fast Fourier transform is a type of fast Fourier transform algorithm over finite fields. This algorithm first decomposes a DFT into several circular convolutions, and then derives the DFT results from the circular convolution results. When applied to a DFT over , this algorithm has a very low multiplicative complexity. In practice, since there usually exist efficient algorithms for circular convolutions with specific lengths, this algorithm is very efficient.