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Search Publications by: Dustin Moody (Fed)

Displaying 51 - 53 of 53

Mean Value Formulas for Twisted Edwards Curves

November 3, 2011

Author(s)

Dustin Moody

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)

Division Polynomials for Jacobi Quartic Curves

June 13, 2011

Author(s)

Dustin Moody

In this paper we fi nd division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the more common Weierstrass equation. Division polynomials for Weierstrass curves are well known, and the division polynomials we fi

Arithmetic Progressions on Edwards Curves

February 8, 2011

Author(s)

Dustin Moody

We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has

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