[Resource Topic] 2010/142: Mean value formulas for twisted Edwards curves

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Title:
Mean value formulas for twisted Edwards curves

Authors: Dustin Moody

Abstract:

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

ePrint: https://eprint.iacr.org/2010/142

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