Cryptology ePrint Archive: Report 2006/220
Multi-Dimensional Montgomery Ladders for Elliptic Curves
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.
Category / Keywords: implementation / ECC Montgomery ladder
Date: received 29 Jun 2006, last revised 30 Jun 2006
Contact author: dbrown at certicom com
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Note: To be updated.
Version: 20060630:134049 (All versions of this report)
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