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Efficient Doubling on Genus 3 Curves over Binary Fields
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is the scalar multiplication by an integer $k$, …
Xinxin Fan, Thomas Wollinger, Yumin Wang
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Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic …
Xinxin Fan, Thomas Wollinger, Yumin Wang
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Simultaneous Divisor Class Addition-Subtraction Algorithm and Its Applications to Hyperelliptic Curve Cryptosystem
In [H. Oguro et al., (2003)], the authors proposed efficient algorithms for the $\tau$-adic sliding window method and applied the …
Xinxin Fan, Yumin Wang
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