Hugh C. Williams

According to our database, Hugh C. Williams authored at least 50 papers between 1980 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2022

The Influence of Public-Key Cryptography on Mathematics.

Johannes Buchmann, Michael J. Jacobson Jr., Hugh C. Williams

Proceedings of the Democratizing Cryptography: The Work of Whitfield Diffie and Martin Hellman, 2022

2015

Some Arithmetic Properties of Certain Sequences.

Eric L. Roettger, Hugh C. Williams

J. Integer Seq., 2015

Odd and Even Linear Divisibility Sequences of Order 4.

Hugh C. Williams, Richard K. Guy

Integers, 2015

Some primality tests that eluded Lucas.

Eric L. Roettger, Hugh C. Williams, Richard K. Guy

Des. Codes Cryptogr., 2015

2013

Laudatio in Honour of Professor Dr. Johannes Buchmann on the Occasion of His 60th Birthday.

Hugh C. Williams

Proceedings of the Number Theory and Cryptography, 2013

Shorter Compact Representations in Real Quadratic Fields.

Alan K. Silvester, Michael J. Jacobson Jr., Hugh C. Williams

Proceedings of the Number Theory and Cryptography, 2013

Some Extensions of the Lucas Functions.

Eric L. Roettger, Hugh C. Williams, Richard K. Guy

Proceedings of the Number Theory and Related Fields, In Memory of Alf van der Poorten, 2013

2012

Some Monoapparitic Fourth Order Linear Divisibility Sequences.

Hugh C. Williams, Richard K. Guy

Integers, 2012

Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions.

Eric L. Roettger, Hugh C. Williams

Fundam. Informaticae, 2012

2010

Improved Primality Proving with Eisenstein Pseudocubes.

Kjell Wooding, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 9th International Symposium, 2010

2008

A New Look at an Old Equation.

Reginald E. Sawilla, Alan K. Silvester, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 8th International Symposium, 2008

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

Pseudopowers and primality proving.

Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams

Contributions Discret. Math., 2007

2006

An Improved Real-Quadratic-Field-Based Key Exchange Procedure.

Michael J. Jacobson Jr., Renate Scheidler, Hugh C. Williams

J. Cryptol., 2006

Doubly-Focused Enumeration of Pseudosquares and Pseudocubes.

Kjell Wooding, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 7th International Symposium, 2006

Numerical Results on Class Groups of Imaginary Quadratic Fields.

Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 7th International Symposium, 2006

2004

Imaginary Cyclic Quartic Fields with Large Minus Class Numbers.

Michael J. Jacobson Jr., Hugh C. Williams, Kjell Wooding

Proceedings of the Algorithmic Number Theory, 6th International Symposium, 2004

Pseudocubes and Primality Testing.

Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 6th International Symposium, 2004

2003

Corrigenda and addition to "Computer verification of the Ankeny-Artin-Chowla conjecture for all primes less than 100 000 000 000".

Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams

Math. Comput., 2003

New quadratic polynomials with high densities of prime values.

Michael J. Jacobson Jr., Hugh C. Williams

Math. Comput., 2003

New Computations Concerning the Cohen-Lenstra Heuristics.

Herman te Riele, Hugh C. Williams

Exp. Math., 2003

2002

Modular Arithmetic on Elements of Small Norm in Quadratic Fields.

Michael J. Jacobson Jr., Hugh C. Williams

Des. Codes Cryptogr., 2002

2001

Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than 100 000 000 000.

Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams

Math. Comput., 2001

2000

Explicit primality criteria for (p-1)pⁿ - 1.

Andreas Stein, Hugh C. Williams

Math. Comput., 2000

The Size of the Fundamental Solutions of Consecutive Pell Equations.

Michael J. Jacobson Jr., Hugh C. Williams

Exp. Math., 2000

A Note on Shanks's Chains of Primes.

Edlyn Teske, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, 4th International Symposium, 2000

1999

A Problem Concerning a Character Sum.

Edlyn Teske, Hugh C. Williams

Exp. Math., 1999

Some Methods for Evaluating the Regulator of a Real Quadratic Function Field.

Andreas Stein, Hugh C. Williams

Exp. Math., 1999

1998

A Problem Concerning a Character Sum - Extended Abstract.

Edlyn Teske, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, Third International Symposium, 1998

An Improved Method of Computing the Regulator of a Real Quadratic Function Field.

Andreas Stein, Hugh C. Williams

Proceedings of the Algorithmic Number Theory, Third International Symposium, 1998

1997

Daniel Shanks (1917-1996).

Hugh C. Williams

Math. Comput., 1997

Further tabulation of the Erdös-Selfridge function.

Richard F. Lukes, Renate Scheidler, Hugh C. Williams

Math. Comput., 1997

1996

Some results on pseudosquares.

Richard F. Lukes, C. D. Patterson, Hugh C. Williams

Math. Comput., 1996

Results and estimates on pseudopowers.

Eric Bach, Richard F. Lukes, Jeffrey O. Shallit, Hugh C. Williams

Math. Comput., 1996

Key-Exchange in Real Quadratic Congruence Function Fields.

Renate Scheidler, Andreas Stein, Hugh C. Williams

Des. Codes Cryptogr., 1996

1995

An Investigation of Bounds for the Regulator of Quadratic Fields.

Michael J. Jacobson Jr., Richard F. Lukes, Hugh C. Williams

Exp. Math., 1995

A Public-Key Cryptosystem Utilizing Cyclotomic Fields.

Renate Scheidler, Hugh C. Williams

Des. Codes Cryptogr., 1995

1994

A Key-Exchange Protocol Using Real Quadratic Fields.

Renate Scheidler, Johannes Buchmann, Hugh C. Williams

J. Cryptol., 1994

1991

Some remarks concerning the complexity of computing class groups of quadratic fields.

Johannes Buchmann, Hugh C. Williams

J. Complex., 1991

Some formulas concerning the fundamental unit of a real quadratic field.

Hugh C. Williams

Discret. Math., 1991

1990

Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields.

Renate Scheidler, Johannes Buchmann, Hugh C. Williams

Proceedings of the Advances in Cryptology, 1990

1989

On the Complexity and Efficiency of a New Key Exchange System.

Johannes Buchmann, Stephan Düllmann, Hugh C. Williams

Proceedings of the Advances in Cryptology, 1989

A Key Exchange System Based on Real Quadratic Fields.

Johannes Buchmann, Hugh C. Williams

Proceedings of the Advances in Cryptology, 1989

1988

A Key-Exchange System Based on Imaginary Quadratic Fields.

Johannes Buchmann, Hugh C. Williams

J. Cryptol., 1988

1987

A parallel version of the continued fraction integer factoring algorithm.

Marvin C. Wunderlich, Hugh C. Williams

J. Supercomput., 1987

On Principal Ideal Testing in Algebraic Number Fields.

Johannes Buchmann, Hugh C. Williams

J. Symb. Comput., 1987

1985

Some Public-Key Crypto-Functions as Intractable as Factorization.

Hugh C. Williams

Cryptologia, 1985

An M³ Public-Key Encryption Scheme.

Hugh C. Williams

Proceedings of the Advances in Cryptology, 1985

1983

An Overview of Factoring.

Hugh C. Williams

Proceedings of the Advances in Cryptology, 1983

1980

A modification of the RSA public-key encryption procedure (Corresp.).

Hugh C. Williams

IEEE Trans. Inf. Theory, 1980