Fast Algorithms
For the implementation of a "fast" algorithm (similar to how FFT computes the DFT), it is often desirable that the transform length is also highly composite, e.g. a power of two. However, there are specialized fast Fourier transform algorithms for finite fields, such as Wang and Zhu's algorithm, which are efficient regardless of whether the transform length factors.
Read more about this topic: Discrete Fourier Transform (general)
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“Who liveth by the ragged pine
Foundeth a heroic line;
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Waneth fast and spendeth all.”
—Ralph Waldo Emerson (1803–1882)