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Hugh C. Williams
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2020 – today
- 2022
- [p2]Johannes Buchmann, Michael J. Jacobson Jr., Hugh C. Williams:
The Influence of Public-Key Cryptography on Mathematics. Democratizing Cryptography 2022: 77-156
2010 – 2019
- 2015
- [j32]Eric L. Roettger, Hugh C. Williams, Richard K. Guy:
Some primality tests that eluded Lucas. Des. Codes Cryptogr. 77(2-3): 515-539 (2015) - [j31]Hugh C. Williams, Richard K. Guy:
Odd and Even Linear Divisibility Sequences of Order 4. Integers 15: A33 (2015) - [j30]Eric L. Roettger, Hugh C. Williams:
Some Arithmetic Properties of Certain Sequences. J. Integer Seq. 18(6): 15.6.2 (2015) - 2013
- [c17]Hugh C. Williams:
Laudatio in Honour of Professor Dr. Johannes Buchmann on the Occasion of His 60th Birthday. Number Theory and Cryptography 2013: 1-2 - [c16]Alan K. Silvester, Michael J. Jacobson Jr., Hugh C. Williams:
Shorter Compact Representations in Real Quadratic Fields. Number Theory and Cryptography 2013: 50-72 - [p1]Eric L. Roettger, Hugh C. Williams, Richard K. Guy:
Some Extensions of the Lucas Functions. Number Theory and Related Fields 2013: 271-311 - 2012
- [j29]Eric L. Roettger, Hugh C. Williams:
Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions. Fundam. Informaticae 114(3-4): 325-344 (2012) - [j28]Hugh C. Williams, Richard K. Guy:
Some Monoapparitic Fourth Order Linear Divisibility Sequences. Integers 12A: A17 (2012) - 2010
- [c15]Kjell Wooding, Hugh C. Williams:
Improved Primality Proving with Eisenstein Pseudocubes. ANTS 2010: 372-384
2000 – 2009
- 2008
- [c14]Reginald E. Sawilla, Alan K. Silvester, Hugh C. Williams:
A New Look at an Old Equation. ANTS 2008: 37-59 - 2007
- [j27]Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams:
Pseudopowers and primality proving. Contributions Discret. Math. 2(2) (2007) - [j26]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): 2139-2160 (2007) - 2006
- [j25]Michael J. Jacobson Jr., Renate Scheidler
, Hugh C. Williams:
An Improved Real-Quadratic-Field-Based Key Exchange Procedure. J. Cryptol. 19(2): 211-239 (2006) - [c13]Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams:
Numerical Results on Class Groups of Imaginary Quadratic Fields. ANTS 2006: 87-101 - [c12]Kjell Wooding, Hugh C. Williams:
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes. ANTS 2006: 208-221 - 2004
- [c11]Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams:
Pseudocubes and Primality Testing. ANTS 2004: 102-116 - [c10]Michael J. Jacobson Jr., Hugh C. Williams, Kjell Wooding:
Imaginary Cyclic Quartic Fields with Large Minus Class Numbers. ANTS 2004: 280-292 - 2003
- [j24]Herman te Riele, Hugh C. Williams:
New Computations Concerning the Cohen-Lenstra Heuristics. Exp. Math. 12(1): 99-113 (2003) - [j23]Michael J. Jacobson Jr., Hugh C. Williams:
New quadratic polynomials with high densities of prime values. Math. Comput. 72(241): 499-519 (2003) - [j22]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): 521-523 (2003) - 2002
- [j21]Michael J. Jacobson Jr., Hugh C. Williams:
Modular Arithmetic on Elements of Small Norm in Quadratic Fields. Des. Codes Cryptogr. 27(1-2): 111-117 (2002) - 2001
- [j20]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): 1311-1328 (2001) - 2000
- [j19]Michael J. Jacobson Jr., Hugh C. Williams:
The Size of the Fundamental Solutions of Consecutive Pell Equations. Exp. Math. 9(4): 631-640 (2000) - [j18]Andreas Stein, Hugh C. Williams:
Explicit primality criteria for (p-1)pn - 1. Math. Comput. 69(232): 1721-1734 (2000) - [c9]Edlyn Teske, Hugh C. Williams:
A Note on Shanks's Chains of Primes. ANTS 2000: 563-580
1990 – 1999
- 1999
- [j17]Edlyn Teske, Hugh C. Williams:
A Problem Concerning a Character Sum. Exp. Math. 8(1): 63-72 (1999) - [j16]Andreas Stein, Hugh C. Williams:
Some Methods for Evaluating the Regulator of a Real Quadratic Function Field. Exp. Math. 8(2): 119-133 (1999) - 1998
- [c8]Edlyn Teske, Hugh C. Williams:
A Problem Concerning a Character Sum - Extended Abstract. ANTS 1998: 351-357 - [c7]Andreas Stein, Hugh C. Williams:
An Improved Method of Computing the Regulator of a Real Quadratic Function Field. ANTS 1998: 607-620 - 1997
- [j15]Hugh C. Williams:
Daniel Shanks (1917-1996). Math. Comput. 66(219): 929-934 (1997) - [j14]Richard F. Lukes, Renate Scheidler, Hugh C. Williams:
Further tabulation of the Erdös-Selfridge function. Math. Comput. 66(220): 1709-1717 (1997) - 1996
- [j13]Renate Scheidler, Andreas Stein, Hugh C. Williams:
Key-Exchange in Real Quadratic Congruence Function Fields. Des. Codes Cryptogr. 7(1-2): 153-174 (1996) - [j12]Richard F. Lukes, C. D. Patterson, Hugh C. Williams:
Some results on pseudosquares. Math. Comput. 65(213): 361-372 (1996) - [j11]Eric Bach, Richard F. Lukes, Jeffrey O. Shallit, Hugh C. Williams:
Results and estimates on pseudopowers. Math. Comput. 65(216): 1737-1747 (1996) - 1995
- [j10]Renate Scheidler
A Public-Key Cryptosystem Utilizing Cyclotomic Fields. Des. Codes Cryptogr. 6(2): 117-131 (1995) - [j9]Michael J. Jacobson Jr., Richard F. Lukes, Hugh C. Williams:
An Investigation of Bounds for the Regulator of Quadratic Fields. Exp. Math. 4(3): 211-225 (1995) - 1994
- [j8]Renate Scheidler
A Key-Exchange Protocol Using Real Quadratic Fields. J. Cryptol. 7(3): 171-199 (1994) - 1991
- [j7]Hugh C. Williams:
Some formulas concerning the fundamental unit of a real quadratic field. Discret. Math. 92(1-3): 431-440 (1991) - [j6]Johannes Buchmann, Hugh C. Williams:
Some remarks concerning the complexity of computing class groups of quadratic fields. J. Complex. 7(3): 311-315 (1991) - 1990
- [c6]Renate Scheidler
Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields. EUROCRYPT 1990: 98-109
1980 – 1989
- 1989
- [c5]Johannes Buchmann, Hugh C. Williams:
A Key Exchange System Based on Real Quadratic Fields. CRYPTO 1989: 335-343 - [c4]Johannes Buchmann, Stephan Düllmann, Hugh C. Williams:
On the Complexity and Efficiency of a New Key Exchange System. EUROCRYPT 1989: 597-616 - 1988
- [j5]Johannes Buchmann, Hugh C. Williams:
A Key-Exchange System Based on Imaginary Quadratic Fields. J. Cryptol. 1(2): 107-118 (1988) - 1987
- [j4]Johannes Buchmann, Hugh C. Williams:
On Principal Ideal Testing in Algebraic Number Fields. J. Symb. Comput. 4(1): 11-19 (1987) - [j3]Marvin C. Wunderlich, Hugh C. Williams:
A parallel version of the continued fraction integer factoring algorithm. J. Supercomput. 1(2): 217-230 (1987) - 1986
- [e1]Hugh C. Williams:
Advances in Cryptology - CRYPTO '85, Santa Barbara, California, USA, August 18-22, 1985, Proceedings. Lecture Notes in Computer Science 218, Springer 1986, ISBN 3-540-16463-4 [contents] - 1985
- [j2]Hugh C. Williams:
Some Public-Key Crypto-Functions as Intractable as Factorization. Cryptologia 9(3): 223-237 (1985) - [c3]Hugh C. Williams:
An M³ Public-Key Encryption Scheme. CRYPTO 1985: 358-368 - 1984
- [c2]Hugh C. Williams:
Some Public Key Crypto-Functions as Intractable as Factorization. CRYPTO 1984: 66-70 - 1983
- [c1]Hugh C. Williams:
An Overview of Factoring. CRYPTO 1983: 71-80 - 1980
- [j1]Hugh C. Williams:
A modification of the RSA public-key encryption procedure (Corresp.). IEEE Trans. Inf. Theory 26(6): 726-729 (1980)
Coauthor Index
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