Complete group law for genus 2 Jacobians on Jacobian coordinates

ePrint Report: Complete group law for genus 2 Jacobians on Jacobian coordinates

Elif Ozbay Gurler, Huseyin Hisil

This manuscript provides complete, inversion-free, and explicit group law formulas in Jacobian coordinates for the genus 2 hyperelliptic curves of the form $y^2 = x^5 + a_3 x^3 + a_2 x^2 + a_1 x + a_0$ over a field $K$ with $char(K) \ne 2$. The formulas do not require the use of polynomial arithmetic operations such as resultant, mod, or gcd computations but …

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