Welcome to the resource topic for 2024/623
Title:
Complete group law for genus 2 Jacobians on Jacobian coordinates
Authors: Elif Ozbay Gurler, Huseyin Hisil
Abstract: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 only operations in K.
ePrint: https://eprint.iacr.org/2024/623
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