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Hugh C. Williams

dblp:92/3922 · DBLP profile ↗
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16ranked-venue papers
4as first author
0since 2021 · last 2015
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Security and privacy · 11 · 3 first-authorTheory of computation · 4 · 1 first-authorSystems, architecture and hardware · 1

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Network and information security
8 papers
Cryptographic protocols and secure computation · 72% Cryptographic primitives and cryptanalysis · 28%

Topics — the 10 heaviest of 11, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Cryptographic protocols and secure computation
key exchange
0.142006
An Improved Real-Quadratic-Field-Based Key Exchange Procedure · J. Cryptol. 2006
A Key-Exchange Protocol Using Real Quadratic Fields · J. Cryptol. 1994
A Key Exchange System Based on Real Quadratic Fields · CRYPTO 1989
Cryptographic primitives and cryptanalysis
public-key cryptography
0.031988
Some Public Key Crypto-Functions as Intractable as Factorization · CRYPTO 1984
A modification of the RSA public-key encryption procedure (Corresp.) · IEEE Trans. Inf. Theory 1980
A Key-Exchange System Based on Imaginary Quadratic Fields · J. Cryptol. 1988
Cryptographic primitives and cryptanalysis
cryptographic assumptions
0.021984
Some Public Key Crypto-Functions as Intractable as Factorization · CRYPTO 1984
An Overview of Factoring · CRYPTO 1983
Cryptographic primitives and cryptanalysis › public-key cryptography › public-key encryption
multi-recipient encryption
0.011985
An M³ Public-Key Encryption Scheme · CRYPTO 1985
Cryptographic primitives and cryptanalysis › public-key cryptography
public-key encryption
0.011985
An M³ Public-Key Encryption Scheme · CRYPTO 1985
Cryptographic primitives and cryptanalysis › public-key cryptography
factoring-based cryptography
0.011984
Some Public Key Crypto-Functions as Intractable as Factorization · CRYPTO 1984
Cryptographic primitives and cryptanalysis › cryptographic assumptions
factoring
0.011983
An Overview of Factoring · CRYPTO 1983
Cryptographic primitives and cryptanalysis › public-key cryptography
digital signatures
0.011980
A modification of the RSA public-key encryption procedure (Corresp.) · IEEE Trans. Inf. Theory 1980
Cryptographic primitives and cryptanalysis
integer factorization
0.011980
A modification of the RSA public-key encryption procedure (Corresp.) · IEEE Trans. Inf. Theory 1980
Cryptographic primitives and cryptanalysis › public-key cryptography
RSA cryptosystem
0.011980
A modification of the RSA public-key encryption procedure (Corresp.) · IEEE Trans. Inf. Theory 1980

Methods — techniques the papers use, named apart from their topics

imaginary quadratic field arithmetic · 0.0reduction · 0.0factoring algorithms · 0.0
YearPublicationVenuePosition
2015 Some primality tests that eluded Lucas
Eric L. Roettger, Hugh C. Williams, Richard K. Guy
Des. Codes Cryptogr.2
2012 Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions
abstract
One of the goals of public-key cryptography is to securely exchange a key by use of a public channel without the users previously communicating with one another. In 1976 W. Diffie and M. Hellman had an idea how to do this by exploiting mathematically
Eric L. Roettger, Hugh C. Williams
Fundam. Informaticae2
2006 An Improved Real-Quadratic-Field-Based Key Exchange Procedure
Michael J. Jacobson Jr., Renate Scheidler, Hugh C. Williams
J. Cryptol.3
2002 Modular Arithmetic on Elements of Small Norm in Quadratic Fields
Michael J. Jacobson Jr., Hugh C. Williams
Des. Codes Cryptogr.2
1996 Key-Exchange in Real Quadratic Congruence Function Fields
Renate Scheidler, Andreas Stein, Hugh C. Williams
Des. Codes Cryptogr.3
1995 A Public-Key Cryptosystem Utilizing Cyclotomic Fields
Renate Scheidler, Hugh C. Williams
Des. Codes Cryptogr.2
1994 A Key-Exchange Protocol Using Real Quadratic Fields
Renate Scheidler, Johannes Buchmann 0001, Hugh C. Williams
J. Cryptol.3
1991 Some remarks concerning the complexity of computing class groups of quadratic fields
Johannes Buchmann 0001, Hugh C. Williams
J. Complex.2
1989 A Key Exchange System Based on Real Quadratic Fields
Johannes Buchmann 0001, Hugh C. Williams
CRYPTO2
1988 A Key-Exchange System Based on Imaginary Quadratic Fields
Johannes Buchmann 0001, Hugh C. Williams
J. Cryptol.2
1987 On Principal Ideal Testing in Algebraic Number Fields
Johannes Buchmann 0001, Hugh C. Williams
J. Symb. Comput.2
1987 A parallel version of the continued fraction integer factoring algorithm
Marvin C. Wunderlich, Hugh C. Williams
J. Supercomput.2
1985 An M³ Public-Key Encryption Scheme
Hugh C. Williams
CRYPTO1
1984 Some Public Key Crypto-Functions as Intractable as Factorization
Hugh C. Williams
CRYPTO1
1983 An Overview of Factoring
Hugh C. Williams
CRYPTO1
1980 A modification of the RSA public-key encryption procedure (Corresp.)
abstract
The Rivest, Shamir, and Adleman (RSA) public-key encryption algorithm can be broken if the integerRused as the modulus can be factored. It my however be possible to break this system without factoringR. A modification of the RSA scheme is described. For this modified version it is shown that, if the encryption procedure can be broken in a certain number of operations, thenRcan be factored in only a few more operations. Furthermore, this technique can also be used to produce digital signatures, in much the same manner as the RSA scheme.
Hugh C. Williams
IEEE Trans. Inf. Theory1