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Search Publications by: Dustin Moody (Fed)

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Displaying 51 - 54 of 54

Families of Elliptic Curves with Rational 3-torsion

January 30, 2012
Author(s)
Dustin Moody, Hongfeng Wu
In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of Fq-isogeny classes

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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