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Author: dustin moody

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11. Improved Indifferentiability Security Bound for the JH Mode
Published: 3/22/2012
Authors: Dustin Moody, Souradyuti Paul, Daniel C Smith-Tone
Abstract: The JH hash function is one of the five fi nalists of the ongoing NIST SHA3 hash function competition. Despite several earlier attempts, and years of analysis, the indi fferentiability security bound of the JH mode has so far remained remarkably lo ...

12. Families of Elliptic Curves with Rational 3-torsion
Published: 1/30/2012
Authors: Dustin Moody, Hongfeng Wu
Abstract: 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 ...

13. Mean Value Formulas for Twisted Edwards Curves
Published: 11/3/2011
Author: 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 ...

14. Division Polynomials for Jacobi Quartic Curves
Published: 6/13/2011
Author: Dustin Moody
Abstract: 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 ...

15. Arithmetic Progressions on Edwards Curves
Published: 2/8/2011
Author: Dustin Moody
Abstract: 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 ...

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