Complete group law for genus 2 Jacobians on Jacobian coordinates
Publication Name
Journal of Cryptographic Engineering
Abstract
This manuscript provides complete, inversion-free, and explicit group law formulas in Jacobian coordinates for the genus 2 hyperelliptic curves of the form y2=x5+a3x3+a2x2+a1x+a0 over a field K with char(K)≠2. The formulas do not require the use of polynomial arithmetic operations such as resultant, mod, or gcd computations but only operations in K.
Open Access Status
This publication may be available as open access