Tight Lower Bound for Average Number of Terms in Optimal Double-base Number System

04/13/2021

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by   Vorapong Suppakitpaisarn, et al.

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We show in this note that the average number of terms in the optimal double-base number system is in Omega(n / log n). The lower bound matches the upper bound shown earlier by Dimitrov, Imbert, and Mishra (Math. of Comp. 2008).