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An explicit power saving for the exact discrete Fourier transform

OpenAI

OpenAI Mathopenai-math/An-explicit-power-saving-for-the-exact-discrete-Fourier-transformSep 25, 2026cs.CCAI-generatedscore 0 · 🔥 2 posts

We give a deterministic algorithm that computes the discrete Fourier transform at every length n in $O(n(\log n)^{1-10^{-13}})$ operations. The model uses exact complex arithmetic, unrestricted coefficients, specified Fourier roots, and unit-cost logarithmic-size indexing; scalar preparation and array organization are included.

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Faster Fourier Transformsargmin.netBen RechtOct 14, 2026

The OpenAI algorithm for the FFT is less a breakthrough and more a malicious exploit.

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