[Resource Topic] 2006/220: Multi-Dimensional Montgomery Ladders for Elliptic Curves

Welcome to the resource topic for 2006/220

Title:
Multi-Dimensional Montgomery Ladders for Elliptic Curves

Authors: Daniel R. L. Brown

Abstract:

Montgomery’s ladder algorithm for elliptic curve scalar multiplication uses only the x-coordinates of points. Avoiding calculation of the y-coordinates saves time for certain curves. Montgomery introduced his method to accelerate Lenstra’s elliptic curve method for integer factoring. Bernstein extended Montgomery’s ladder algorithm by computing integer combinations of two points, thus accelerating signature verification over certain curves. This paper modifies and extends Bernstein’s algorithm to integer combinations of two or more points.

ePrint: https://eprint.iacr.org/2006/220

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .