A modification of the RSA public-key encryption procedure (Corresp.). - Hugh C. Williams (IEEE Trans. Inf. Theory, 1980)

An Overview of Factoring. - Hugh C. Williams (CRYPTO, 1983)

An M³ Public-Key Encryption Scheme. - Hugh C. Williams (CRYPTO, 1985)

Some Public-Key Crypto-Functions as Intractable as Factorization. - Hugh C. Williams (Cryptologia, 1985)

On Principal Ideal Testing in Algebraic Number Fields. - Johannes Buchmann 001; Hugh C. Williams (J. Symb. Comput., 1987)

A parallel version of the continued fraction integer factoring algorithm. - Marvin C. Wunderlich; Hugh C. Williams (J. Supercomput., 1987)

A Key-Exchange System Based on Imaginary Quadratic Fields. - Johannes Buchmann 001; Hugh C. Williams (J. Cryptol., 1988)

A Key Exchange System Based on Real Quadratic Fields. - Johannes Buchmann 001; Hugh C. Williams (CRYPTO, 1989)

On the Complexity and Efficiency of a New Key Exchange System. - Johannes Buchmann 001; Stephan Düllmann; Hugh C. Williams (EUROCRYPT, 1989)

Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields. - Renate Scheidler; Johannes Buchmann 001; Hugh C. Williams (EUROCRYPT, 1990)

Some formulas concerning the fundamental unit of a real quadratic field. - Hugh C. Williams (Discret. Math., 1991)

Some remarks concerning the complexity of computing class groups of quadratic fields. - Johannes Buchmann 001; Hugh C. Williams (J. Complex., 1991)

A Key-Exchange Protocol Using Real Quadratic Fields. - Renate Scheidler; Johannes Buchmann 001; Hugh C. Williams (J. Cryptol., 1994)

A Public-Key Cryptosystem Utilizing Cyclotomic Fields. - Renate Scheidler; Hugh C. Williams (Des. Codes Cryptogr., 1995)

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

Key-Exchange in Real Quadratic Congruence Function Fields. - Renate Scheidler; Andreas Stein; Hugh C. Williams (Des. Codes Cryptogr., 1996)

Results and estimates on pseudopowers. - Eric Bach 001; Richard F. Lukes; Jeffrey O. Shallit; Hugh C. Williams (Math. Comput., 1996)

Some results on pseudosquares. - Richard F. Lukes; C. D. Patterson; Hugh C. Williams (Math. Comput., 1996)

Further tabulation of the Erdös-Selfridge function. - Richard F. Lukes; Renate Scheidler; Hugh C. Williams (Math. Comput., 1997)

Daniel Shanks (1917-1996). - Hugh C. Williams (Math. Comput., 1997)

An Improved Method of Computing the Regulator of a Real Quadratic Function Field. - Andreas Stein; Hugh C. Williams (ANTS, 1998)

A Problem Concerning a Character Sum - Extended Abstract. - Edlyn Teske; Hugh C. Williams (ANTS, 1998)

Some Methods for Evaluating the Regulator of a Real Quadratic Function Field. - Andreas Stein; Hugh C. Williams (Exp. Math., 1999)

A Problem Concerning a Character Sum. - Edlyn Teske; Hugh C. Williams (Exp. Math., 1999)

A Note on Shanks's Chains of Primes. - Edlyn Teske; Hugh C. Williams (ANTS, 2000)

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

Explicit primality criteria for (p-1)pn - 1. - Andreas Stein; Hugh C. Williams (Math. Comput., 2000)

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)

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

New Computations Concerning the Cohen-Lenstra Heuristics. - Herman te Riele; Hugh C. Williams (Exp. Math., 2003)

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

Pseudocubes and Primality Testing. - Pedro Berrizbeitia; Siguna Müller; Hugh C. Williams (ANTS, 2004)

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

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

Doubly-Focused Enumeration of Pseudosquares and Pseudocubes. - Kjell Wooding; Hugh C. Williams (ANTS, 2006)

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

Pseudopowers and primality proving. - Pedro Berrizbeitia; Siguna Müller; Hugh C. Williams (Contributions Discret. Math., 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)

A New Look at an Old Equation. - Reginald E. Sawilla; Alan K. Silvester; Hugh C. Williams (ANTS, 2008)

Improved Primality Proving with Eisenstein Pseudocubes. - Kjell Wooding; Hugh C. Williams (ANTS, 2010)

Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions. - Eric L. Roettger; Hugh C. Williams (Fundam. Informaticae, 2012)

Some Monoapparitic Fourth Order Linear Divisibility Sequences. - Hugh C. Williams; Richard K. Guy (Integers, 2012)

Some Extensions of the Lucas Functions. - Eric L. Roettger; Hugh C. Williams; Richard K. Guy (Number Theory and Related Fields, 2013)

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

Laudatio in Honour of Professor Dr. Johannes Buchmann on the Occasion of His 60th Birthday. - Hugh C. Williams (Number Theory and Cryptography, 2013)

Some primality tests that eluded Lucas. - Eric L. Roettger; Hugh C. Williams; Richard K. Guy (Des. Codes Cryptogr., 2015)

Odd and Even Linear Divisibility Sequences of Order 4. - Hugh C. Williams; Richard K. Guy (Integers, 2015)

Some Arithmetic Properties of Certain Sequences. - Eric L. Roettger; Hugh C. Williams (J. Integer Seq., 2015)

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