Article ID Journal Published Year Pages File Type
401190 Journal of Symbolic Computation 2014 7 Pages PDF
Abstract

We show how to improve the efficiency of the computation of fast Fourier transforms over FpFp 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 Shoupʼs NTL library.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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