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Mean Value Formulas for Twisted Edwards Curves

Published

Author(s)

Dustin Moody

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(link is external)). We prove a similar result for the x and y-coordinates on a twisted Edwards elliptic curve.
Citation
Journal of Combinatorics and Number Theory
Volume
3
Issue
2

Keywords

elliptic curves, Edwards curves, mean value

Citation

Moody, D. (2011), Mean Value Formulas for Twisted Edwards Curves, Journal of Combinatorics and Number Theory, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=907010 (Accessed March 14, 2025)

Issues

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Created November 3, 2011, Updated February 19, 2017