Trisection for supersingular genus $2$ curves in characteristic $2$
نویسندگان
چکیده
منابع مشابه
Pairing Calculation on Supersingular Genus 2 Curves
In this paper we describe how to efficiently implement pairing calculation on supersingular genus 2 curves over prime fields. We find that, contrary to the results reported in [8], pairing calculation on supersingular genus 2 curves over prime fields is efficient and a viable candidate for practical implementation. We also show how to eliminate divisions in an efficient manner when computing th...
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Using the Kummer surface, we generalize Montgomery ladder for scalar multiplication to the Jacobian of genus 2 curves in characteristic 2. Previously this method was known for elliptic curves and for genus 2 curves in odd characteristic. We obtain an algorithm that is competitive compared to usual methods of scalar multiplication and that has additional properties such as resistance to side-cha...
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A curve over finite field is supersingular if its Jacobian is supersingular as an abelian variety. On the one hand, supersingular abelian varieties form the smallest (closed) stratum in the moduli space of abelian varieties, on the other the intersection of Jacobian locus and the stratification of moduli space is little known. Consequently it is very difficult to locate a family of supersingula...
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ژورنال
عنوان ژورنال: Advances in Mathematics of Communications
سال: 2014
ISSN: 1930-5346
DOI: 10.3934/amc.2014.8.375