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Publication Citation: Mean Value Formulas for Twisted Edwards Curves

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Author(s): Dustin Moody;
Title: Mean Value Formulas for Twisted Edwards Curves
Published: November 03, 2011
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
Pages: pp. 103 - 112
Keywords: elliptic curves; Edwards curves; mean value
Research Areas: Information Technology, Math, Computer Security
PDF version: PDF Document Click here to retrieve PDF version of paper (276KB)