Browsing by Author "Ozbay Gurler, Elif"

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    Complete group law for genus 2 Jacobians on Jacobian coordinates
    (Springer Science and Business Media Deutschland GmbH, 2024) Elif Ozbay Gurler; Hüseyin Hişil; Ozbay Gurler, Elif; Hisil, Huseyin; Gurler, Elif Ozbay
    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. © 2024 Elsevier B.V. All rights reserved.