Hugh C. Williams

52 papers A* 7Journal 32Unranked 11
YearRankTypeTitle / Venue / Authors
2022 — ch.
The Influence of Public-Key Cryptography on Mathematics.
Democratizing Cryptography
Johannes Buchmann, Michael J. Jacobson Jr., Hugh C. Williams
2015 J jnl
Odd and Even Linear Divisibility Sequences of Order 4.
Integers
Hugh C. Williams, Richard K. Guy
2015 J jnl
Some Arithmetic Properties of Certain Sequences.
J. Integer Seq.
Eric L. Roettger, Hugh C. Williams
2015 J jnl
Some primality tests that eluded Lucas.
Des. Codes Cryptogr.
Eric L. Roettger, Hugh C. Williams, Richard K. Guy
2013 — conf
Laudatio in Honour of Professor Dr. Johannes Buchmann on the Occasion of His 60th Birthday.
Number Theory and Cryptography
Hugh C. Williams
2013 — conf
Shorter Compact Representations in Real Quadratic Fields.
Number Theory and Cryptography
Alan K. Silvester, Michael J. Jacobson Jr., Hugh C. Williams
2013 — ch.
Some Extensions of the Lucas Functions.
Number Theory and Related Fields
Eric L. Roettger, Hugh C. Williams, Richard K. Guy
2012 J jnl
Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions.
Fundam. Informaticae
Eric L. Roettger, Hugh C. Williams
2012 J jnl
Some Monoapparitic Fourth Order Linear Divisibility Sequences.
Integers
Hugh C. Williams, Richard K. Guy
2010 — conf
Improved Primality Proving with Eisenstein Pseudocubes.
ANTS
Kjell Wooding, Hugh C. Williams
2008 — conf
A New Look at an Old Equation.
ANTS
Reginald E. Sawilla, Alan K. Silvester, Hugh C. Williams
2007 J jnl
A fast, rigorous technique for computing the regulator of a real quadratic field.
Math. Comput.
Robert de Haan, Michael J. Jacobson Jr., Hugh C. Williams
2007 J jnl
Pseudopowers and primality proving.
Contributions Discret. Math.
Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams
2006 J jnl
An Improved Real-Quadratic-Field-Based Key Exchange Procedure.
J. Cryptol.
Michael J. Jacobson Jr., Renate Scheidler, Hugh C. Williams
2006 — conf
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes.
ANTS
Kjell Wooding, Hugh C. Williams
2006 — conf
Numerical Results on Class Groups of Imaginary Quadratic Fields.
ANTS
Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams
2004 — conf
Imaginary Cyclic Quartic Fields with Large Minus Class Numbers.
ANTS
Michael J. Jacobson Jr., Hugh C. Williams, Kjell Wooding
2004 — conf
Pseudocubes and Primality Testing.
ANTS
Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams
2003 J jnl
Corrigenda and addition to "Computer verification of the Ankeny-Artin-Chowla conjecture for all primes less than 100 000 000 000".
Math. Comput.
Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams
2003 J jnl
New Computations Concerning the Cohen-Lenstra Heuristics.
Exp. Math.
Herman te Riele, Hugh C. Williams
2003 J jnl
New quadratic polynomials with high densities of prime values.
Math. Comput.
Michael J. Jacobson Jr., Hugh C. Williams
2002 J jnl
Modular Arithmetic on Elements of Small Norm in Quadratic Fields.
Des. Codes Cryptogr.
Michael J. Jacobson Jr., Hugh C. Williams
2001 J jnl
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than 100 000 000 000.
Math. Comput.
Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams
2000 — conf
A Note on Shanks's Chains of Primes.
ANTS
Edlyn Teske, Hugh C. Williams
2000 J jnl
Explicit primality criteria for (p-1)p
Math. Comput.
Andreas Stein, Hugh C. Williams
2000 J jnl
The Size of the Fundamental Solutions of Consecutive Pell Equations.
Exp. Math.
Michael J. Jacobson Jr., Hugh C. Williams
1999 J jnl
A Problem Concerning a Character Sum.
Exp. Math.
Edlyn Teske, Hugh C. Williams
1999 J jnl
Some Methods for Evaluating the Regulator of a Real Quadratic Function Field.
Exp. Math.
Andreas Stein, Hugh C. Williams
1998 — conf
A Problem Concerning a Character Sum - Extended Abstract.
ANTS
Edlyn Teske, Hugh C. Williams
1998 — conf
An Improved Method of Computing the Regulator of a Real Quadratic Function Field.
ANTS
Andreas Stein, Hugh C. Williams
1997 J jnl
Daniel Shanks (1917-1996).
Math. Comput.
Hugh C. Williams
1997 J jnl
Further tabulation of the Erdös-Selfridge function.
Math. Comput.
Richard F. Lukes, Renate Scheidler, Hugh C. Williams
1996 J jnl
Key-Exchange in Real Quadratic Congruence Function Fields.
Des. Codes Cryptogr.
Renate Scheidler, Andreas Stein, Hugh C. Williams
1996 J jnl
Results and estimates on pseudopowers.
Math. Comput.
Eric Bach, Richard F. Lukes, Jeffrey O. Shallit, Hugh C. Williams
1996 J jnl
Some results on pseudosquares.
Math. Comput.
Richard F. Lukes, C. D. Patterson, Hugh C. Williams
1995 J jnl
A Public-Key Cryptosystem Utilizing Cyclotomic Fields.
Des. Codes Cryptogr.
Renate Scheidler, Hugh C. Williams
1995 J jnl
An Investigation of Bounds for the Regulator of Quadratic Fields.
Exp. Math.
Michael J. Jacobson Jr., Richard F. Lukes, Hugh C. Williams
1994 J jnl
A Key-Exchange Protocol Using Real Quadratic Fields.
J. Cryptol.
Renate Scheidler, Johannes Buchmann, Hugh C. Williams
1991 J jnl
Some formulas concerning the fundamental unit of a real quadratic field.
Discret. Math.
Hugh C. Williams
1991 J jnl
Some remarks concerning the complexity of computing class groups of quadratic fields.
J. Complex.
Johannes Buchmann, Hugh C. Williams
1990 A* conf
Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields.
EUROCRYPT
Renate Scheidler, Johannes Buchmann, Hugh C. Williams
1989 A* conf
A Key Exchange System Based on Real Quadratic Fields.
CRYPTO
Johannes Buchmann, Hugh C. Williams
1989 A* conf
On the Complexity and Efficiency of a New Key Exchange System.
EUROCRYPT
Johannes Buchmann, Stephan Düllmann, Hugh C. Williams
1988 J jnl
A Key-Exchange System Based on Imaginary Quadratic Fields.
J. Cryptol.
Johannes Buchmann, Hugh C. Williams
1987 J jnl
A parallel version of the continued fraction integer factoring algorithm.
J. Supercomput.
Marvin C. Wunderlich, Hugh C. Williams
1987 J jnl
On Principal Ideal Testing in Algebraic Number Fields.
J. Symb. Comput.
Johannes Buchmann, Hugh C. Williams
1986 A* ed.
Advances in Cryptology - CRYPTO '85, Santa Barbara, California, USA, August 18-22, 1985, Proceedings
CRYPTO
Hugh C. Williams
1985 A* conf
An M³ Public-Key Encryption Scheme.
CRYPTO
Hugh C. Williams
1985 J jnl
Some Public-Key Crypto-Functions as Intractable as Factorization.
Cryptologia
Hugh C. Williams
1984 A* conf
Some Public Key Crypto-Functions as Intractable as Factorization.
CRYPTO
Hugh C. Williams
1983 A* conf
An Overview of Factoring.
CRYPTO
Hugh C. Williams
1980 J jnl
A modification of the RSA public-key encryption procedure (Corresp.).
IEEE Trans. Inf. Theory
Hugh C. Williams