Michael J. Jacobson Jr.

Orcid: 0000-0002-4906-0544

According to our database1, Michael J. Jacobson Jr. authored at least 55 papers between 1995 and 2022.

Collaborative distances:

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

On csauthors.net:

Bibliography

2022
The Influence of Public-Key Cryptography on Mathematics.
Proceedings of the Democratizing Cryptography: The Work of Whitfield Diffie and Martin Hellman, 2022

2020
Numerical and Statistical Analysis of Aliquot Sequences.
Exp. Math., 2020

Improved divisor arithmetic on generic hyperelliptic curves.
ACM Commun. Comput. Algebra, 2020

Balanced NUCOMP.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019
Improved Efficiency of a Linearly Homomorphic Cryptosystem.
Proceedings of the Codes, Cryptology and Information Security, 2019

2018
A Note on the Security of CSIDH.
Proceedings of the Progress in Cryptology - INDOCRYPT 2018, 2018

2016
Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation.
LMS J. Comput. Math., 2016

2014
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields.
Math. Comput., 2014

Comparison of scalar multiplication on real hyperelliptic curves.
Adv. Math. Commun., 2014

Smoothness testing of polynomials over finite fields.
Adv. Math. Commun., 2014

2013
Empirical optimization of divisor arithmetic on hyperelliptic curves over F<sub>2<sup>m</sup></sub>.
Adv. Math. Commun., 2013

Shorter Compact Representations in Real Quadratic Fields.
Proceedings of the Number Theory and Cryptography, 2013

Hyperelliptic curves.
Proceedings of the Handbook of Finite Fields., 2013

2012
Performance modelling of anonymity protocols.
Perform. Evaluation, 2012

Tabulation of cubic function fields via polynomial binary cubic forms.
Math. Comput., 2012

Improved Exponentiation and Key Agreement in the Infrastructure of a Real Quadratic Field.
Proceedings of the Progress in Cryptology - LATINCRYPT 2012, 2012

2011
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation.
Adv. Math. Commun., 2011

Sublinear Scalar Multiplication on Hyperelliptic Koblitz Curves.
Proceedings of the Selected Areas in Cryptography - 18th International Workshop, 2011

2010
Cryptographic Aspects of Real Hyperelliptic Curves.
IACR Cryptol. ePrint Arch., 2010

Fast ideal cubing in imaginary quadratic number and function fields.
Adv. Math. Commun., 2010

Efficient reduction of large divisors on hyperelliptic curves.
Adv. Math. Commun., 2010

Practical Improvements to Class Group and Regulator Computation of Real Quadratic Fields.
Proceedings of the Algorithmic Number Theory, 9th International Symposium, 2010

Security Estimates for Quadratic Field Based Cryptosystems.
Proceedings of the Information Security and Privacy - 15th Australasian Conference, 2010

2008
Provably Sublinear Point Multiplication on Koblitz Curves and Its Hardware Implementation.
IEEE Trans. Computers, 2008

Construction of hyperelliptic function fields of high three-rank.
Math. Comput., 2008

Taxis: Scalable Strong Anonymous Communication.
Proceedings of the 16th International Symposium on Modeling, 2008

An Adaptation of the NICE Cryptosystem to Real Quadratic Orders.
Proceedings of the Progress in Cryptology, 2008

2007
A fast, rigorous technique for computing the regulator of a real quadratic field.
Math. Comput., 2007

Cryptographic protocols on real hyperelliptic curves.
Adv. Math. Commun., 2007

Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation.
Proceedings of the Arithmetic of Finite Fields, First International Workshop, 2007

Army of Botnets.
Proceedings of the Network and Distributed System Security Symposium, 2007

2006
Anti-disassembly using Cryptographic Hash Functions.
J. Comput. Virol., 2006

An Improved Real-Quadratic-Field-Based Key Exchange Procedure.
J. Cryptol., 2006

FPGA Implementation of Point Multiplication on Koblitz Curves Using Kleinian Integers.
Proceedings of the Cryptographic Hardware and Embedded Systems, 2006

Numerical Results on Class Groups of Imaginary Quadratic Fields.
Proceedings of the Algorithmic Number Theory, 7th International Symposium, 2006

2005
A Practical Buses Protocol for Anonymous Internet Communication.
Proceedings of the Third Annual Conference on Privacy, 2005

Improved Port Knocking with Strong Authentication.
Proceedings of the 21st Annual Computer Security Applications Conference (ACSAC 2005), 2005

2004
Imaginary Cyclic Quartic Fields with Large Minus Class Numbers.
Proceedings of the Algorithmic Number Theory, 6th International Symposium, 2004

The Security of Cryptosystems Based on Class Semigroups of Imaginary Quadratic Non-maximal Orders.
Proceedings of the Information Security and Privacy: 9th Australasian Conference, 2004

2003
New quadratic polynomials with high densities of prime values.
Math. Comput., 2003

A computational approach for solving y<sup>2</sup> =1<sup>k</sup> + 2<sup>k</sup> + ... + x<sup>k</sup>.
Math. Comput., 2003

Towards Practical Non-Interactive Public-Key Cryptosystems Using Non-Maximal Imaginary Quadratic Orders.
Des. Codes Cryptogr., 2003

2002
Modular Arithmetic on Elements of Small Norm in Quadratic Fields.
Des. Codes Cryptogr., 2002

Computational Aspects of NUCOMP.
Proceedings of the Algorithmic Number Theory, 5th International Symposium, 2002

2001
Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent.
IACR Cryptol. ePrint Arch., 2001

Algorithms for Large Integer Matrix Problems.
Proceedings of the Applied Algebra, 2001

2000
Computing Discrete Logarithms in Quadratic Orders.
J. Cryptol., 2000

The Size of the Fundamental Solutions of Consecutive Pell Equations.
Exp. Math., 2000

Analysis of the Xedni Calculus Attack.
Des. Codes Cryptogr., 2000

1999
Applying sieving to the computation of quadratic class groups.
Math. Comput., 1999

1998
A Cryptosystem Based on Non-maximal Imaginary Quadratic Orders with Fast Decryption.
Proceedings of the Advances in Cryptology - EUROCRYPT '98, International Conference on the Theory and Application of Cryptographic Techniques, Espoo, Finland, May 31, 1998

Experimental Results on Class Groups of Real Quadratic Fields.
Proceedings of the Algorithmic Number Theory, Third International Symposium, 1998

1997
On some computational problems in finite abelian groups.
Math. Comput., 1997

Sieving Methods for Class Group Computation.
Proceedings of the Algorithmic Algebra and Number Theory, 1997

1995
An Investigation of Bounds for the Regulator of Quadratic Fields.
Exp. Math., 1995


  Loading...