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Author: dustin moody

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11. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908330

12. 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907596



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