Dustin Moody (Fed)

Research:

• Elliptic Curves,
• Cryptography,
• Pairings, and
• Computational Number Theory.

Published Papers:

• C. Rasmussen, D. Moody, Character sums determined by low degree isogenies of elliptic curves, to appear in Rocky Mountain J. Math (2013).

• D. Moody, A. Zargar, On Integer solutions of x⁴+y⁴-2z⁴-2w⁴=0,  No. Theory and Discrete Math. 19 (1),  pp. 37-43 (2013).

• C. McLeman, D. Moody, Class numbers via 3-isogenies and elliptic surfaces,  Int. J. Number Theory, 9 (01), pp. 125-137 (2012).
• R. Farashahi, D. Moody, H. Wu, Isomorphism classes of Edwards curves over finite fields, Finite Fields Appl. 18 (3), pp. 597-612 (2012).
• D. Moody, S. Paul, D. Smith-Tone, Improved indifferentiability security bound for the JH mode,  proceedings of NIST's 3rd SHA-3 Candidate Conference, (2012).
• D. Moody, H. Wu, Families of elliptic curves with rational 3-torsion , J. Math. Cryptol. 5 (3-4), pp. 225-246 (2011).
• D. Moody, Computing isogeny volcanoes of composite degree, App. Math. Comp. 218 (9), pp. 5249-5258 (2011).
• D. Moody, Mean value formulas for twisted Edwards curves, J. Comb. Number Theory, 3 (2), pp. 103-112 (2011).
• D. Moody, Arithmetic progressions on Huff curves, Ann. Math. Inform. 38, pp. 111-116 (2011).
• D. Moody, Division polynomials for Jacobi quartic curves, proceedings of ISSAC  (2011).
• D. Moody, Using 5-isogenies to quintuple points on elliptic curves, Inform. Process. Lett., 111 (7), pp. 314-317 (2011).
• D. Moody. Arithmetic progressions on Edwards curves, J. Integer Seq. (14) Article 11.1.7, (2011).
• D. Moody. The Diffie-Hellman problem and generalization of Verheul�s theorem, Des. Codes Cryptogr. (52) pp 381--392 (2009).
• D. Moody. The Diffie-Hellman problem and generalization of Verheul�s theorem, PhD dissertation (2008).
• D. Moody. The Beurling-Selberg extremal function, BYU Master�s Project (2003).

Preprints:

• D. Moody, D. Shumow. Isogenies on Edwards and Huff curves, (submitted 2011)