Hugh C. Williams

Publication Activity (10 Years)

Years Active: 1980-2015
Publications (10 Years): 3

Top Topics

Computer Science And Engineering

Desirable Properties

Top Venues

Number Theory and Cryptography

Fundam. Informaticae

Des. Codes Cryptogr.

Publications

Eric L. Roettger, Hugh C. Williams
Some Arithmetic Properties of Certain Sequences. J. Integer Seq. 18 (6) (2015)
Eric L. Roettger, Hugh C. Williams, Richard K. Guy
Some primality tests that eluded Lucas. Des. Codes Cryptogr. 77 (2-3) (2015)
Hugh C. Williams, Richard K. Guy
Odd and Even Linear Divisibility Sequences of Order 4. Integers 15 (2015)
Hugh C. Williams
Laudatio in Honour of Professor Dr. Johannes Buchmann on the Occasion of His 60th Birthday. Number Theory and Cryptography (2013)
Alan K. Silvester, Michael J. Jacobson Jr., Hugh C. Williams
Shorter Compact Representations in Real Quadratic Fields. Number Theory and Cryptography (2013)
Eric L. Roettger, Hugh C. Williams
Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions. Fundam. Informaticae 114 (3-4) (2012)
Hugh C. Williams, Richard K. Guy
Some Monoapparitic Fourth Order Linear Divisibility Sequences. Integers (2012)
Kjell Wooding, Hugh C. Williams
Improved Primality Proving with Eisenstein Pseudocubes. ANTS (2010)
Reginald E. Sawilla, Alan K. Silvester, Hugh C. Williams
A New Look at an Old Equation. ANTS (2008)
Robert de Haan, Michael J. Jacobson Jr., Hugh C. Williams
A fast, rigorous technique for computing the regulator of a real quadratic field. Math. Comput. 76 (260) (2007)
Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams
Pseudopowers and primality proving. Contributions Discret. Math. 2 (2) (2007)
Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams
Numerical Results on Class Groups of Imaginary Quadratic Fields. ANTS (2006)
Kjell Wooding, Hugh C. Williams
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes. ANTS (2006)
Michael J. Jacobson Jr., Renate Scheidler, Hugh C. Williams
An Improved Real-Quadratic-Field-Based Key Exchange Procedure. J. Cryptol. 19 (2) (2006)
Michael J. Jacobson Jr., Hugh C. Williams, Kjell Wooding
Imaginary Cyclic Quartic Fields with Large Minus Class Numbers. ANTS (2004)
Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams
Pseudocubes and Primality Testing. ANTS (2004)
Herman te Riele, Hugh C. Williams
New Computations Concerning the Cohen-Lenstra Heuristics. Exp. Math. 12 (1) (2003)
Michael J. Jacobson Jr., Hugh C. Williams
New quadratic polynomials with high densities of prime values. Math. Comput. 72 (241) (2003)
Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams
Corrigenda and addition to "Computer verification of the Ankeny-Artin-Chowla conjecture for all primes less than 100 000 000 000". Math. Comput. 72 (241) (2003)
Michael J. Jacobson Jr., Hugh C. Williams
Modular Arithmetic on Elements of Small Norm in Quadratic Fields. Des. Codes Cryptogr. 27 (1-2) (2002)
Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than 100 000 000 000. Math. Comput. 70 (235) (2001)
Michael J. Jacobson Jr., Hugh C. Williams
The Size of the Fundamental Solutions of Consecutive Pell Equations. Exp. Math. 9 (4) (2000)
Andreas Stein, Hugh C. Williams
- 1. Math. Comput. 69 (232) (2000)
Edlyn Teske, Hugh C. Williams
A Note on Shanks's Chains of Primes. ANTS (2000)
Edlyn Teske, Hugh C. Williams
A Problem Concerning a Character Sum. Exp. Math. 8 (1) (1999)
Andreas Stein, Hugh C. Williams
Some Methods for Evaluating the Regulator of a Real Quadratic Function Field. Exp. Math. 8 (2) (1999)
Edlyn Teske, Hugh C. Williams
A Problem Concerning a Character Sum - Extended Abstract. ANTS (1998)
Andreas Stein, Hugh C. Williams
An Improved Method of Computing the Regulator of a Real Quadratic Function Field. ANTS (1998)
Hugh C. Williams
Daniel Shanks (1917-1996). Math. Comput. 66 (219) (1997)
Richard F. Lukes, Renate Scheidler, Hugh C. Williams
Further tabulation of the Erdös-Selfridge function. Math. Comput. 66 (220) (1997)
Renate Scheidler, Andreas Stein, Hugh C. Williams
Key-Exchange in Real Quadratic Congruence Function Fields. Des. Codes Cryptogr. 7 (1-2) (1996)
Eric Bach, Richard F. Lukes, Jeffrey O. Shallit, Hugh C. Williams
Results and estimates on pseudopowers. Math. Comput. 65 (216) (1996)
Richard F. Lukes, C. D. Patterson, Hugh C. Williams
Some results on pseudosquares. Math. Comput. 65 (213) (1996)
Renate Scheidler, Hugh C. Williams
A Public-Key Cryptosystem Utilizing Cyclotomic Fields. Des. Codes Cryptogr. 6 (2) (1995)
Michael J. Jacobson Jr., Richard F. Lukes, Hugh C. Williams
An Investigation of Bounds for the Regulator of Quadratic Fields. Exp. Math. 4 (3) (1995)
Renate Scheidler, Johannes Buchmann, Hugh C. Williams
A Key-Exchange Protocol Using Real Quadratic Fields. J. Cryptol. 7 (3) (1994)
Johannes Buchmann, Hugh C. Williams
Some remarks concerning the complexity of computing class groups of quadratic fields. J. Complex. 7 (3) (1991)
Hugh C. Williams
Some formulas concerning the fundamental unit of a real quadratic field. Discret. Math. 92 (1-3) (1991)
Renate Scheidler, Johannes Buchmann, Hugh C. Williams
Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields. EUROCRYPT (1990)
Johannes Buchmann, Hugh C. Williams
A Key Exchange System Based on Real Quadratic Fields. CRYPTO (1989)
Johannes Buchmann, Stephan Düllmann, Hugh C. Williams
On the Complexity and Efficiency of a New Key Exchange System. EUROCRYPT (1989)
Johannes Buchmann, Hugh C. Williams
A Key-Exchange System Based on Imaginary Quadratic Fields. J. Cryptol. 1 (2) (1988)
Marvin C. Wunderlich, Hugh C. Williams
A parallel version of the continued fraction integer factoring algorithm. J. Supercomput. 1 (2) (1987)
Johannes Buchmann, Hugh C. Williams
On Principal Ideal Testing in Algebraic Number Fields. J. Symb. Comput. 4 (1) (1987)
Hugh C. Williams
Some Public-Key Crypto-Functions as Intractable as Factorization. Cryptologia 9 (3) (1985)
Hugh C. Williams
An M³ Public-Key Encryption Scheme. CRYPTO (1985)
Hugh C. Williams
Some Public Key Crypto-Functions as Intractable as Factorization. CRYPTO (1984)
Hugh C. Williams
An Overview of Factoring. CRYPTO (1983)
Hugh C. Williams
A modification of the RSA public-key encryption procedure (Corresp.). IEEE Trans. Inf. Theory 26 (6) (1980)