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Published in:
2015 | OriginalPaper | Chapter
Analysis of Fractional ωmbNAF for Scalar Multiplication
Authors : Weixuan Li, Wei Yu, Kunpeng Wang
Published in: Information Security Practice and Experience
Publisher: Springer International Publishing
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In the current work we analyze the average Hamming weight of recoded sequence obtained by fractional
ω
mbNAF algorithm using Markov theory. Cost comparison between fractional
ω
mbNAF and different scalar recoding methods is given. Regardless of memory restraint, it is shown that
$\{2,3,5\}\mbox{NAF}_{3+\frac{3}{4}}$
improves tree-based double base chain by a factor of 6.8% and 13.2% is Jacobian curves(with efficiency-orient selected parameter
a
= 3) and inverted Edwards curves respectively.