Dustin Moody
Mathematician, National Institute of Standards and Technology (NIST)
Dustin Moody (Fed)
Mathematician
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)
PUBLICATIONS
A Note on Tangential Quadrilaterals
SEPTEMBER 2, 2024
AUTHOR(S)PRADEEP DAS, ABHISHEK JUYAL, DUSTIN MOODY
A tangential quadrilateral is a convex quadrilateral whose sides are simultaneously tangent to a single circle. In this paper, the primary objective is to
Assessing the Benefits and Risks of Quantum Computers
JULY 17, 2024
AUTHOR(S)TRAVIS SCHOLTEN, CARL WILLIAMS, DUSTIN MOODY, MICHELE MOSCA, WILLIAM HURLEY, WILLIAM J. ZENG, MATTHIAS TROYER, JAY GAMBETTA
Quantum computing is an emerging technology with potentially far-reaching implications for national prosperity and security. Understanding the timeframes over
Post-Quantum Cryptography, and the Quantum Future of Cybersecurity
APRIL 9, 2024
AUTHOR(S)YI-KAI LIU, DUSTIN MOODY
We review the current status of efforts to develop and deploy post-quantum cryptography on the Internet. Then we suggest specific ways in which quantum
Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters
FEBRUARY 2, 2023
AUTHOR(S)LILY CHEN, DUSTIN MOODY, KAREN RANDALL, ANDREW REGENSCHEID, ANGELA ROBINSON
This Recommendation specifies the set of elliptic curves recommended for U.S. Government use. In addition to the previously recommended Weierstrass curves
Digital Signature Standard (DSS)
FEBRUARY 2, 2023
AUTHOR(S)NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY (NIST), LILY CHEN, DUSTIN MOODY, ANDREW REGENSCHEID, ANGELA ROBINSON
This standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications, and more - URL: https://www.nist.gov/people/dustin-moody