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arXiv · 1911.07124

Faster Integer Multiplication Using Preprocessing

Matt Groff
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Abstract

A New Number Theoretic Transform(NTT), which is a form of FFT, is introduced, that is faster than FFTs. Also, a multiplication algorithm is introduced that uses this to perform integer multiplication faster than O(n log n). It uses preprocessing to achieve an upper bounds of (n log n/(log log n/ log log log n). Also, we explore the possibility of O(n) time multiplication via NTTs that require only O(n) operations, using preprocessing.

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Matt Groff. 2019-11-17. Faster Integer Multiplication Using Preprocessing. https://arxiv.org/abs/1911.07124

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