The Diffie-Hellman problem and generalization of Verheul's theorem. - Dustin Moody (Des. Codes Cryptogr., 2009)

Mean value formulas for twisted Edwards curves. - Dustin Moody (IACR Cryptol. ePrint Arch., 2010)

Divison Polynomials for Alternate Models of Elliptic Curves. - Dustin Moody (IACR Cryptol. ePrint Arch., 2010)

Division polynomials for Jacobi quartic curves. - Dustin Moody (ISSAC, 2011)

Indifferentiability Security of the Fast Widepipe Hash: Breaking the Birthday Barrier. - Dustin Moody; Souradyuti Paul; Daniel Smith-Tone (IACR Cryptol. ePrint Arch., 2011)

Using 5-isogenies to quintuple points on elliptic curves. - Dustin Moody (Inf. Process. Lett., 2011)

Computing isogeny volcanoes of composite degree. - Dustin Moody (Appl. Math. Comput., 2012)

Isomorphism classes of Edwards curves over finite fields. - Reza Rezaeian Farashahi; Dustin Moody; Hongfeng Wu (Finite Fields Their Appl., 2012)

Families of elliptic curves with rational 3-torsion. - Dustin Moody; Hongfeng Wu (J. Math. Cryptol., 2012)

An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme. - Dustin Moody; Ray A. Perlner; Daniel Smith-Tone (IACR Cryptol. ePrint Arch., 2014)

Vulnerabilities of "McEliece in the World of Escher". - Dustin Moody; Ray A. Perlner (IACR Cryptol. ePrint Arch., 2015)

Key Recovery Attack on the Cubic ABC Simple Matrix Multivariate Encryption Scheme. - Dustin Moody; Ray A. Perlner; Daniel Smith-Tone (SAC, 2016)

Improved indifferentiability security bound for the JH mode. - Dustin Moody; Souradyuti Paul; Daniel Smith-Tone (Des. Codes Cryptogr., 2016)

High Rank Elliptic Curves with Torsion Z/4Z Induced by Kihara's Elliptic Curves. - Foad Khoshnam; Dustin Moody (Integers, 2016)

Indifferentiability security of the fast wide pipe hash: Breaking the birthday barrier. - Dustin Moody; Souradyuti Paul; Daniel Smith-Tone (J. Math. Cryptol., 2016)

Analogues of Vélu's formulas for isogenies on alternate models of elliptic curves. - Dustin Moody; Daniel Shumow (Math. Comput., 2016)

Improved Attacks for Characteristic-2 Parameters of the Cubic ABC Simple Matrix Encryption Scheme. - Dustin Moody; Ray A. Perlner; Daniel Smith-Tone (IACR Cryptol. ePrint Arch., 2017)

Arithmetic Progressions on Conics. - Abdoul Aziz Ciss; Dustin Moody (J. Integer Seq., 2017)

Homomorphic Encryption Standard. - Martin R. Albrecht; Melissa Chase; Hao Chen 030; Jintai Ding; Shafi Goldwasser; Sergey Gorbunov 001; Shai Halevi; Jeffrey Hoffstein; Kim Laine; Kristin E. Lauter; Satya Lokam; Daniele Micciancio; et al. (IACR Cryptol. ePrint Arch., 2019)

Twisted Hessian Isogenies. - Thinh Dang; Dustin Moody (IACR Cryptol. ePrint Arch., 2019)

Elliptic Curves Arising From the Triangular Numbers. - Abhishek Juyal; Shiv Datt Kumar; Dustin Moody (Integers, 2019)

New mission and opportunity for mathematics researchers: Cryptography in the quantum era. - Lidong Chen; Dustin Moody (Adv. Math. Commun., 2020)

Combinatorial Rank Attacks Against the Rectangular Simple Matrix Encryption Scheme. - Daniel Apon; Dustin Moody; Ray A. Perlner; Daniel Smith-Tone; Javier A. Verbel (IACR Cryptol. ePrint Arch., 2020)

Isogenies on twisted Hessian curves. - Fouazou Lontouo Perez Broon; Thinh Dang; Emmanuel Fouotsa; Dustin Moody (J. Math. Cryptol., 2021)

Cryptographic Standards in the Post-Quantum Era. - Dustin Moody; Angela Robinson (IEEE Secur. Priv., 2022)