[Resource Topic] 2002/153: Weighted Coordinates on Genus 2 Hyperelliptic Curves

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Weighted Coordinates on Genus 2 Hyperelliptic Curves

Authors: Tanja Lange


This paper is the third in a line considering the arithmetic in the ideal class group of hyperelliptic genus two curves. The previous two papers deal with generalizations of affine and projective coordinates. Now we investigate how one can obtain inversion free formulae that are faster than projective by considering weighted coordinates. To that end we make an extensive case study to deal with different characteristic, equation of the curve, space requirement and situation of appliance.

ePrint: https://eprint.iacr.org/2002/153

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