Math: Combinatorics: Design Theory

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Bill Cherowitzo's Hyperoval Page
http://www-math.cudenver.edu/~wcherowi/research/hyperoval/hypero.html
Hyperovals in Desarguesian Planes and related structures in arbitrary projective planes.

Blocks and Design Applet
http://www.win.tue.nl/statlab/designApplet.html
Fractional factorial design generator by Marko Boon.

Caps in Finite Geometries
http://www.mathi.uni-heidelberg.de/~yves/Matritzen/CAPs/CAPMatIndex.html
Tables and examples in PG(k-1,q) by Yves Edel.

D.H. Rees Home Page
http://www.davidhywel.freeserve.co.uk
Information on Nested and Orthogonal BIBDs and related topics.

Design and Analysis of Experiments
http://biometrics.hri.ac.uk/experimentaldesigns/website/hri.htm
Construction and analysis of comparative experiments at the Horticultural Research Institute.

Design Resources
http://www.maths.qmw.ac.uk/~pjc/design/resources.html
Links to resources for design theory maintained by Peter Cameron.

Design Theory Lecture notes on the Web
http://www.maths.qmul.ac.uk/~pjc/design/notes.html
Links compiled by Peter Cameron.

Design Theory Resource Server
http://www.designtheory.org/
A research project founded by the UK Engineering and Physical Sciences Research Council.

Distributed.net: Project OGR
http://www.distributed.net/ogr/
Describes the computerized effort to prove that the known shortest Golomb rulers (up to 25 marks) are really the shortest, or else find the actual shortest ones.

Golomb Rulers
http://www.research.ibm.com/people/s/shearer/grule.html
Table of lengths of shortest known Golomb rulers, counts of optimal and near-optimal rulers, and some Fortran programs for dealing with Golomb rulers.

Golomb Rulers - The Search For 20, 21 and 22!
http://members.aol.com/golomb20/
The search for optimal Golomb Rulers with 20, 21 and 22 marks.

Hadamard Matrices
http://www.research.att.com/~njas/hadamard/
A library of Hadamard matrices maintained by N. J. A. Sloane.

Handbook of Combinatorial Designs
http://www.emba.uvm.edu/~dinitz/hcd.html
Home page for The CRC Handbook of Combinatorial Designs.

La Jolla Covering Repository
http://www.ccrwest.org/cover.html
A database of good covering designs constructed by Dan Gordon.

Library of D-optimal Designs
http://www.uow.edu.au/~jennie/D-optimal.html
Compiled by Jennifer Seberry.

Library of SBIBD
http://www.uow.edu.au/~jennie/SBIBD.html
Compiled by Jennifer Seberry.

Mathematical Association of America - Math Games: Rulers, Arrays, and Gracefulness
http://www.maa.org/editorial/mathgames/mathgames_11_15_04.html
Ed Pegg Jr. writes about the history (and future) of Golomb rulers and related concepts.

Mathworld - Golomb Ruler
http://mathworld.wolfram.com/GolombRuler.html
Description and theory, with references to additional reading.

Modular and Regular Golomb Rulers
http://cgm.cs.mcgill.ca/%7Eathens/cs507/Projects/2003/JustinColannino/
Detailed, theoretical tutorial with references.

Orthogonal Arrays
http://www.research.att.com/~njas/oadir/
A library of over 200 orthogonal arrays maintained by N. J. A. Sloane.

Orthogonal Arrays and Covering Arrays
http://home.att.net/~gsherwood/cover.htm
Construction of orthogonal arrays and covering arrays using permutation groups by George Sherwood.

Small Association Schemes
http://kissme.shinshu-u.ac.jp/as/
Tables of homogeneous coherent configurations by A. Hanaki and I. Miyamoto.

SOMA Update
http://www.maths.qmw.ac.uk/~leonard/soma
Leonard Soicher reports on new SOMAs, which are generalisations of mutually orthogonal latin squares.

Some Constant Weight Codes
http://www.mathi.uni-heidelberg.de/~yves/Matritzen/CWCodes/CWCode.html
As orbits of AG(2,q), PSL(2,2^f) and PGammaL(2,2^f) by Yves Edel.

StatLib - Designs Archive
http://lib.stat.cmu.edu/designs/
With programs and algorithms for creating designs for statistical experiments.

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