Author:
Ozbay Gurler Elif,Hisil Huseyin
Abstract
AbstractThis manuscript provides complete, inversion-free, and explicit group law formulas in Jacobian coordinates for the genus 2 hyperelliptic curves of the form $$y^2 = x^5+a_3 x^3+a_2 x^2+a_1 x+a_0$$
y
2
=
x
5
+
a
3
x
3
+
a
2
x
2
+
a
1
x
+
a
0
over a field K with $$\textrm{char}(K) \ne 2$$
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.
Funder
Technische Universität Darmstadt
Publisher
Springer Science and Business Media LLC