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arXiv · 1205.2926

Faster arithmetic for number-theoretic transforms

David Harvey
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Abstract

We show how to improve the efficiency of the computation of fast Fourier transforms over F_p where p is a word-sized prime. Our main technique is optimisation of the basic arithmetic, in effect decreasing the total number of reductions modulo p, by making use of a redundant representation for integers modulo p. We give performance results showing a significant improvement over Shoup's NTL library.

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David Harvey. 2013-09-25. Faster arithmetic for number-theoretic transforms. https://doi.org/10.1016/j.jsc.2013.09.002

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