Mean Value Formulas for Twisted Edwards Curves

Moody, Dustin

Journal Article

Mean Value Formulas for Twisted Edwards Curves

Published: November 03, 2011
Citation: Journal of Combinatorics and Number Theory vol. 3, no. 2, (November 2011) pp. 103-112

Author(s)

Dustin Moody

Announcement

Abstract

R. Feng and H.Wu recently established a certain mean-value formula for the coordinates of the n-division points on an elliptic curve given inWeierstrass form (A mean value formula for elliptic curves, 2010, available at http://eprint.iacr.org/2009/586.pdf). We prove a similar result for the x and y-coordinates on a twisted Edwards elliptic curve.

Keywords

elliptic curves; Edwards curves; mean value

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Document History:
11/03/11: Journal Article (Final)