You searched on: Author: dustin moody
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11. Isomorphism Classes of Edwards Curves over Finite Fields
Reza Farashahi, Dustin Moody, Hongfeng Wu
Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked ...
12. Improved Indifferentiability Security Bound for the JH Mode
Dustin Moody, Souradyuti Paul, Daniel C Smith-Tone
The JH hash function is one of the five finalists of the ongoing NIST SHA3 hash function
competition. Despite several earlier attempts, and years of analysis, the indifferentiability security bound of the JH mode has so far remained remarkably lo ...
13. Families of Elliptic Curves with Rational 3-torsion
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 ...
14. Mean Value Formulas for Twisted Edwards Curves
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/2009/58 ...
15. Division Polynomials for Jacobi Quartic Curves
In this paper we find 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 ...
16. Arithmetic Progressions on Edwards Curves
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 ...