Lukol Directory: Science: Math: Combinatorics: Design Theory

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

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

Ted Spence's Home Page
Classification of Hadamard matrices and designs.
http://www.maths.gla.ac.uk/~es/

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

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

OGR
Project gericht op het vinden van een Optimal Golomb Ruler.
http://www.distributed.net/ogr/

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

Orthogonal Arrays
Lists of orthogonal arrays, difference schemes and experimental design tools maintained by Warren F. Kuhfeld.
http://support.sas.com/techsup/technote/ts...

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

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

Design Theory Lecture notes on the Web
Links compiled by Peter Cameron.
http://www.maths.qmul.ac.uk/~pjc/design/no...

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

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

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

The Search for a Finite Projective Plane of Order 10
By C.W.H. Lam.
http://www.cecm.sfu.ca/organics/papers/lam...

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

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

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

The Witt Design
The Steiner system S(5,8,24) explicitly computed by Ashay Dharwadker.
http://www.geocities.com/dharwadker/witt.h...

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

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

The Hadamard Maximal Determinant Problem
List of known {-1,1}-matrices with largest determinant and D-optimal designs.
http://www.indiana.edu/~maxdet

Modular and Regular Golomb Rulers
Detailed, theoretical tutorial with references.
http://cgm.cs.mcgill.ca/~athens/cs507/Proj...

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

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

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

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

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

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

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

Sub Topics:
Coding Theory
Matroids
Software





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2006