Speeding Up Point Multiplication on Hyperelliptic Curves with Efficiently-Computable Endomorphisms [chapter]

Young-Ho Park, Sangtae Jeong, Jongin Lim
<span title="">2002</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
As Koblitz curves were generalized to hyperelliptic Koblitz curves for faster point multiplication by Günter,et al [10], we extend the recent work of Gallant,et al [8] to hyperelliptic curves. So the extended method for speeding point multiplication applies to a much larger family of hyperelliptic curves over finite fields that have efficiently-computable endomorphisms. For this special family of curves, a speedup of up to 55 (59) % can be achieved over the best general methods for a 160-bit point multiplication in case of genus g =2 (3).
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-46035-7_13">doi:10.1007/3-540-46035-7_13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qaxk4acdxbhnnmi43g6kmzpnie">fatcat:qaxk4acdxbhnnmi43g6kmzpnie</a> </span>
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