- The links marked "publisher" point to the electronically
published version of an article. Typically, the publisher will have an
abstract of the article freely available, as well as links to other
articles in the journal or collection. They will also have links for
paid subscribers only, which include full-text versions of the article
in various formats and perhaps also other information.
- The links marked "xxx" point to a version of an article at
the archive at <http://xxx.lanl.gov>.
This archive will have the abstract and full text of the article freely
available in various formats.
- The links marked "slideshare" point to a version of a talk
posted at <http://www.slideshare.net>.
This site hosts slideshows which can be freely viewed in your
web browser or downloaded in PDF and/or PowerPoint versions.
- The links marked "abs" point to a local text-only version
of an abstract, which is typically faster but harder to read than the
other versions.
- The links marked "pdf" (resp. "html") point to a
local PDF (resp. HTML) full-text version of a paper or talk.
- The links marked "web page" point to some other non-local
version of the paper or talk.
- Irregularity of prime
numbers over real quadratic fields. In: Algorithmic number
theory: third international symposium; proceedings, no. 1423
in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998. [
publisher]
[abs] [pdf]
- Comparison of Algorithms to Calculate ``Quadratic
Irregularity'' of Prime Numbers: Extended Abstract. In: Proceedings of
the Conference on The Mathematics of Public-Key Cryptography, June
12–17, 1999, Fields Institute, Toronto. [abs] [pdf]
- On the Fontaine-Mazur Conjecture for number fields and an
analogue for function fields. Journal of Number Theory,
81:16–47, 2000. [publisher]
[abs]
[pdf]
- Comparison of algorithms to calculate quadratic
irregularity of prime numbers. Mathematics of Computation,
71:863–871, 2002.
[publisher]
[xxx]
[abs] [pdf]
- Fixed Points and Two-Cycles of the Discrete Logarithm. In:
Algorithmic number theory: 5th international symposium;
proceedings, no. 2369 in Springer Lecture Notes in Computer
Science, Springer-Verlag, 2002. [publisher]
[abs] [pdf] [addenda/corrigenda
from xxx]
- Notes on an analogue of the Fontaine-Mazur conjecture. With
Jeffrey D. Achter. Journal de Théorie des Nombres
de Bordeaux, 15:627–637, 2003. [publisher]
[xxx]
[abs]
- First-hit analysis of algorithms for computing quadratic
irregularity. Mathematics of Computation,
73:939–948, 2004.
[publisher]
[xxx]
[abs]
- Distribution of Values of Real Quadratic Zeta Functions.
In: Unusual Applications of Number Theory,
no. 64 in DIMACS: Series
in Discrete Mathematics and Theoretical Computer Science, AMS, 2004. [xxx]
[abs]
- New Conjectures and Results for Small Cycles of the
Discrete
Logarithm. With Pieter Moree. In: High Primes and
Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie
Williams, no. 41 in Fields Institute Communications,
AMS, 2004. [xxx]
[abs]
- A Comparison of
Cryptography Courses. Cryptologia, 28 (2), 2004. [publisher]
[xxx] [abs] [pdf]
- Abelian varieties over finite fields with a specified
characteristic polynomial modulo l. Journal de
Théorie des Nombres de Bordeaux,
16:173–178,
2004. [publisher]
[xxx]
[abs]
- Distribution of the Error in Estimated Numbers of Fixed
Points of the Discrete Logarithm. Communications in Computer
Algebra, 38:111–118, 2004. [publisher
or publisher]
[xxx]
[abs]
- Underwater Model Rockets: An Innovative Design Problem and
Competition for Undergraduate Students in Engineering, Math and
Science. With Richard Layton, Tina Hudson and Laurence D. Merkle. In: Proceedings
of the 2005 American Society for Engineering Education Annual
Conference and Exposition, 2005.
[publisher]
[abs] [pdf]
- Some Heuristics and
Results for Small Cycles of the Discrete Logarithm. With Pieter Moree. Mathematics
of Computation, 75:419–449, 2006. [publisher]
[xxx]
[abs]
- Underwater Hacker Missile Wars: A Cryptography and
Engineering Contest. With Richard Layton, Laurence Merkle, and Tina
Hudson. Cryptologia, 30:69–77, 2006. [publisher]
[xxx] [abs]
- The Graph Theory of Blackwork Embroidery. In: Making Mathematics with
Needlework: Ten Papers and Ten Projects, edited by
sarah-marie belcastro and Carolyn Yackel. A.K. Peters, 2007.
[book
web page] [abs] [pdf
(preprint, not complete)]]
- A statistical look at maps of the discrete logarithm.
With Nathan Lindle. Given as poster, ANTS VIII,
2008.
- Abstract [pdf
(conference web site)] [pdf]
Also published in Communications in Computer
Algebra, 42:57–59, 2008. [publisher
or publisher]
- Poster [pdf
(conference web site)] [pdf]
- Joshua Holden. Mapping the discrete logarithm.
With Daniel R. Cloutier. [xxx]
Also given as poster, ANTS VII, 2006.
- Abstract [pdf
(conference web site)]
- Poster [pdf
(conference web site)]
- Understanding the Magic:
Teaching Cryptography with Just the Right Amount of Mathematics
- Cryptography and Computer Security for Undergraduates
(Panel, SIGCSE 2004)
- Abstract [pdf]
- Moderator (Paul De Palma, Gonzaga University) [html]
- Cryptography and Computer Security for Undergraduates
(Suzanne
Gladfelter, Penn State York) [html]
- Applied Cryptography (Charles Frank, Northern Kentucky
University) [html]
- Mathematical Cryptography (Joshua Holden) [pdf] [slideshare]
- Underwater Hacker Missile Wars: A Multidisciplinary Design
Competition
(ASEE 2005. With Richard Layton, Tina Hudson and Laurence D. Merkle)
[html]
- Number Theory,
Polynomials,
and the Advanced Encryption Standard
- The Pohlig-Hellman Exponentiation Cipher as a Bridge
Between Classical and Modern Cryptography
Undergraduate Talks
- Modular Arithmetic and Trap
Door Ciphers
(RSA)
- A Tour of Public Key Cryptography (and of Number
Theory) (Merkle's Puzzles, Diffie-Hellman, RSA, Massey-Omura, etc.) [html] [abs]
- AMS Special Session on Mathematics and Mathematics
Education in Fiber Arts (January 2005 Joint Mathematics Meetings)
[web
page]
- Blackwork Embroidery and Algorithms for Maze
Traversals [slideshare] [abs]
- How to Paint Your Way out of a Maze [slideshare] [abs]
- Braids, Cables, and Cells: An Interesting Intersection of Mathematics, Computer Science, and Art [slideshare] [abs]
Undergraduate Research Projects
Other things
- Announcing the Data Encryption Standard, Federal
Information
Processing Standards Publication 46 (FIPS PUB 46), 1977 January 15. [pdf]
(No, I certainly didn't write this! But for some reason,
there
does not seem to be copy of this version of FIPS PUB 46 anywhere I can
find on the web. So, here it is.)
- I did an email interview about
cryptography with some very nice students who were participating in an
international educational website design competition
sponsored by Oracle. Turns out they placed second in their
division
and came up with a very nice site! Here are links to the students'
site and my
interview.
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