A complete set of addition laws for incomplete Edwards curves
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Publication:2430986
DOI10.1016/j.jnt.2010.06.015zbMath1229.11087OpenAlexW2167712295MaRDI QIDQ2430986
Tanja Lange, Daniel J. Bernstein
Publication date: 8 April 2011
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2010.06.015
Related Items (16)
A complete set of addition laws for twisted jacobi intersection curves ⋮ Further refinements of Miller's algorithm on Edwards curves ⋮ On the linear complexity profile of some sequences derived from elliptic curves ⋮ Pairing Computation on Edwards Curves with High-Degree Twists ⋮ Elliptic divisibility sequences over the Edwards model of elliptic curves ⋮ A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring ⋮ Twisted Hessian Curves ⋮ Multiplication polynomials for elliptic curves over finite local rings ⋮ Recovering secrets from prefix-dependent leakage ⋮ Addition law structure of elliptic curves ⋮ Two kinds of division polynomials for twisted Edwards curves ⋮ The pairing computation on Edwards curves ⋮ Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products ⋮ ECM using Edwards curves ⋮ Speeding up Huff form of elliptic curves ⋮ Faster cofactorization with ECM using mixed representations
Uses Software
Cites Work
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- Complete systems of addition laws an abelian varieties
- Addition laws on elliptic curves in arbitrary characteristics
- Complete systems of two addition laws for elliptic curves
- Faster computation of the Tate pairing
- Twisted Edwards Curves
- Twisted Edwards Curves Revisited
- ECM using Edwards curves
- Faster Addition and Doubling on Elliptic Curves
- A normal form for elliptic curves
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