An Investigation of Bounds for the Regulator of Quadratic Fields. - Michael J. Jacobson Jr.; Richard F. Lukes; Hugh C. Williams (Exp. Math., 1995)

Sieving Methods for Class Group Computation. - Johannes Buchmann 001; Michael J. Jacobson Jr.; Stefan Neis; Patrick Theobald; Damian Weber (Algorithmic Algebra and Number Theory, 1997)

On some computational problems in finite abelian groups. - Johannes Buchmann 001; Michael J. Jacobson Jr.; Edlyn Teske (Math. Comput., 1997)

Experimental Results on Class Groups of Real Quadratic Fields. - Michael J. Jacobson Jr. (ANTS, 1998)

A Cryptosystem Based on Non-maximal Imaginary Quadratic Orders with Fast Decryption. - Detlef Hühnlein; Michael J. Jacobson Jr.; Sachar Paulus; Tsuyoshi Takagi (EUROCRYPT, 1998)

Applying sieving to the computation of quadratic class groups. - Michael J. Jacobson Jr. (Math. Comput., 1999)

Analysis of the Xedni Calculus Attack. - Michael J. Jacobson Jr.; Neal Koblitz; Joseph H. Silverman; Andreas Stein; Edlyn Teske (Des. Codes Cryptogr., 2000)

The Size of the Fundamental Solutions of Consecutive Pell Equations. - Michael J. Jacobson Jr.; Hugh C. Williams (Exp. Math., 2000)

Computing Discrete Logarithms in Quadratic Orders. - Michael J. Jacobson Jr. (J. Cryptol., 2000)

Algorithms for Large Integer Matrix Problems. - Mark Giesbrecht; Michael J. Jacobson Jr.; Arne Storjohann (AAECC, 2001)

Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent. - Michael J. Jacobson Jr.; Alfred Menezes; Andreas Stein (IACR Cryptol. ePrint Arch., 2001)

Computational Aspects of NUCOMP. - Michael J. Jacobson Jr.; Alfred J. van der Poorten (ANTS, 2002)

Modular Arithmetic on Elements of Small Norm in Quadratic Fields. - Michael J. Jacobson Jr.; Hugh C. Williams (Des. Codes Cryptogr., 2002)

Towards Practical Non-Interactive Public-Key Cryptosystems Using Non-Maximal Imaginary Quadratic Orders. - Detlef Hühnlein; Michael J. Jacobson Jr.; Damian Weber (Des. Codes Cryptogr., 2003)

A computational approach for solving y2 =1k + 2k + ... + xk. - Michael J. Jacobson Jr.; Ákos Pintér; P. G. Walsh (Math. Comput., 2003)

New quadratic polynomials with high densities of prime values. - Michael J. Jacobson Jr.; Hugh C. Williams (Math. Comput., 2003)

The Security of Cryptosystems Based on Class Semigroups of Imaginary Quadratic Non-maximal Orders. - Michael J. Jacobson Jr. (ACISP, 2004)

Imaginary Cyclic Quartic Fields with Large Minus Class Numbers. - Michael J. Jacobson Jr.; Hugh C. Williams; Kjell Wooding (ANTS, 2004)

Improved Port Knocking with Strong Authentication. - Rennie deGraaf; John Aycock; Michael J. Jacobson Jr. (ACSAC, 2005)

A Practical Buses Protocol for Anonymous Internet Communication. - Andreas Hirt; Michael J. Jacobson Jr.; Carey L. Williamson (PST, 2005)

Numerical Results on Class Groups of Imaginary Quadratic Fields. - Michael J. Jacobson Jr.; Shantha Ramachandran; Hugh C. Williams (ANTS, 2006)

FPGA Implementation of Point Multiplication on Koblitz Curves Using Kleinian Integers. - Vassil S. Dimitrov; Kimmo U. Järvinen; Michael J. Jacobson Jr.; W. F. Chan; Zhun Huang (CHES, 2006)

An Improved Real-Quadratic-Field-Based Key Exchange Procedure. - Michael J. Jacobson Jr.; Renate Scheidler; Hugh C. Williams (J. Cryptol., 2006)

Anti-disassembly using Cryptographic Hash Functions. - John Aycock; Rennie deGraaf; Michael J. Jacobson Jr. (J. Comput. Virol., 2006)

Army of Botnets. - Ryan Vogt; John Aycock; Michael J. Jacobson Jr. (NDSS, 2007)

Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation. - Stefan Erickson; Michael J. Jacobson Jr.; Ning Shang; Shuo Shen; Andreas Stein (WAIFI, 2007)

Cryptographic protocols on real hyperelliptic curves. - Michael J. Jacobson Jr.; Renate Scheidler; Andreas Stein (Adv. Math. Commun., 2007)

A fast, rigorous technique for computing the regulator of a real quadratic field. - Robert de Haan; Michael J. Jacobson Jr.; Hugh C. Williams (Math. Comput., 2007)

An Adaptation of the NICE Cryptosystem to Real Quadratic Orders. - Michael J. Jacobson Jr.; Renate Scheidler; Daniel Weimer (AFRICACRYPT, 2008)

Taxis: Scalable Strong Anonymous Communication. - Andreas Hirt; Michael J. Jacobson Jr.; Carey L. Williamson (MASCOTS, 2008)

Construction of hyperelliptic function fields of high three-rank. - Mark L. Bauer; Michael J. Jacobson Jr.; Yoonjin Lee; Renate Scheidler (Math. Comput., 2008)

Provably Sublinear Point Multiplication on Koblitz Curves and Its Hardware Implementation. - Vassil S. Dimitrov; Kimmo U. Järvinen; Michael J. Jacobson Jr.; W. F. Chan; Zhun Huang (IEEE Trans. Computers, 2008)

Security Estimates for Quadratic Field Based Cryptosystems. - Jean-François Biasse; Michael J. Jacobson Jr.; Alan K. Silvester (ACISP, 2010)

Practical Improvements to Class Group and Regulator Computation of Real Quadratic Fields. - Jean-François Biasse; Michael J. Jacobson Jr. (ANTS, 2010)

Efficient reduction of large divisors on hyperelliptic curves. - Roberto Avanzi; Michael J. Jacobson Jr.; Renate Scheidler (Adv. Math. Commun., 2010)

Fast ideal cubing in imaginary quadratic number and function fields. - Laurent Imbert; Michael J. Jacobson Jr.; Arthur Schmidt (Adv. Math. Commun., 2010)

Cryptographic Aspects of Real Hyperelliptic Curves. - Michael J. Jacobson Jr.; Renate Scheidler; Andreas Stein (IACR Cryptol. ePrint Arch., 2010)

Sublinear Scalar Multiplication on Hyperelliptic Koblitz Curves. - Hugo Labrande; Michael J. Jacobson Jr. (Selected Areas in Cryptography, 2011)

Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. - Stefan Erickson; Michael J. Jacobson Jr.; Andreas Stein (Adv. Math. Commun., 2011)

Improved Exponentiation and Key Agreement in the Infrastructure of a Real Quadratic Field. - Vanessa Dixon; Michael J. Jacobson Jr.; Renate Scheidler (LATINCRYPT, 2012)

Tabulation of cubic function fields via polynomial binary cubic forms. - Pieter Rozenhart; Michael J. Jacobson Jr.; Renate Scheidler (Math. Comput., 2012)

Performance modelling of anonymity protocols. - Niklas Carlsson; Carey Williamson; Andreas Hirt; Michael J. Jacobson Jr. (Perform. Evaluation, 2012)

Hyperelliptic curves. - Michael J. Jacobson Jr.; Renate Scheidler (Handbook of Finite Fields, 2013)

Shorter Compact Representations in Real Quadratic Fields. - Alan K. Silvester; Michael J. Jacobson Jr.; Hugh C. Williams (Number Theory and Cryptography, 2013)

Empirical optimization of divisor arithmetic on hyperelliptic curves over F2m. - Laurent Imbert; Michael J. Jacobson Jr. (Adv. Math. Commun., 2013)

Smoothness testing of polynomials over finite fields. - Jean-François Biasse; Michael J. Jacobson Jr. (Adv. Math. Commun., 2014)

Comparison of scalar multiplication on real hyperelliptic curves. - Michael J. Jacobson Jr.; Monireh Rezai Rad; Renate Scheidler (Adv. Math. Commun., 2014)

Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. - Mark Velichka; Michael J. Jacobson Jr.; Andreas Stein (Math. Comput., 2014)

Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation. - Jean-François Biasse; Claus Fieker; Michael J. Jacobson Jr. (LMS J. Comput. Math., 2016)

A Note on the Security of CSIDH. - Jean-François Biasse; Annamaria Iezzi; Michael J. Jacobson Jr. (INDOCRYPT, 2018)

Improved Efficiency of a Linearly Homomorphic Cryptosystem. - Parthasarathi Das; Michael J. Jacobson Jr.; Renate Scheidler (C2SI, 2019)

Balanced NUCOMP. - Sebastian Lindner; Laurent Imbert; Michael J. Jacobson Jr. (CASC, 2020)

Improved divisor arithmetic on generic hyperelliptic curves. - Sebastian Lindner; Laurent Imbert; Michael J. Jacobson Jr. (ACM Commun. Comput. Algebra, 2020)

Numerical and Statistical Analysis of Aliquot Sequences. - K. Chum; Richard K. Guy; Michael J. Jacobson Jr.; Anton Mosunov (Exp. Math., 2020)

The Influence of Public-Key Cryptography on Mathematics. - Johannes Buchmann 001; Michael J. Jacobson Jr.; Hugh C. Williams (Democratizing Cryptography, 2022)