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PUBLICATIONS

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). 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
Pub Type
Journals

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Keywords

elliptic curves, Edwards curves, mean value
Information technology, Cybersecurity and privacy and Mathematics and statistics

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 October 22, 2025)

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Created November 3, 2011, Updated February 19, 2017
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