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Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
Explicit Formulas Real Hyperelliptic Curves Affine Representation
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2011/3/11
We present a complete set of efficient explicit formulas for arithmetic
in the degree 0 divisor class group of a genus two real hyperelliptic curve
givenin affine coordinates. In addition to formula...
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
foundations / hyperelliptic curve, reduced divisor, infrastructure and distance Cantor’s algorithm explicit formulas efficient implementation cryptographic key exchange
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2012/3/29
We present a complete set of efficient explicit formulas for arithmetic in the degree 0 divisor class group of a genus two real hyperelliptic curve given in affine coordinates. In addition to formulas...
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
Efficient software implementation explicit formulas bilinear pairings
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2010/10/20
We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considered only for arithmetic in quadra...