Design Theory Combinatorics Math

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.

• Some Constant Weight Codes - As orbits of AG(2,q), PSL(2,2^f) and PGammaL(2,2^f) by combinatorics Yves Edel.
• Library of D-optimal Designs - Compiled by Jennifer Seberry.
• Mathematical Association of America - Math Games: Rulers, Arrays, and Gracefulness - Ed Pegg Jr. writes about the history (and design theory future) of Golomb rulers and related concepts.
• Mathworld - Golomb Ruler - Description and theory, with references to additional reading.
• Modular and Regular Golomb Rulers - Detailed, theoretical tutorial with references.
• SOMA Update - Leonard Soicher reports on new SOMAs, which are combinatorics generalisations of combinatorics mutually orthogonal Latin squares.
• Golomb Rulers - Specification of the problem, research report, references, a solver program and some results.
• Design Resources - Links to resources for design theory maintained by math Peter Cameron.
• Bill Cherowitzo's Hyperoval Page - Hyperovals in Desarguesian Planes and related structures in design theory arbitrary math projective planes.
• Orthogonal Arrays and Covering Arrays - Construction of orthogonal arrays and covering arrays using permutation groups combinatorics by George Sherwood.
• Caps in Finite Geometries - Tables and examples in PG(k-1,q) by Yves Edel.
• Ted Spence's Home Page - Classification of Hadamard matrices and designs.
• Design Theory Resource Server - A research project founded by the UK Engineering and Physical math Sciences Research Council.
• StatLib - Designs Archive - With programs and algorithms for creating designs for statistical experiments.
• Design Theory Lecture Notes on the Web - Links compiled by Peter Cameron.
• La Jolla Covering Repository - A database of good covering designs constructed by Dan Gordon.
• The Hadamard Maximal Determinant Problem - List of known {-1,1}-matrices with largest determinant and D-optimal designs.
• Library of SBIBD - Compiled by Jennifer Seberry.
• Hadamard Matrices - A library of Hadamard matrices maintained by N. math J. A. Sloane.
• Distributed.net: Project OGR - Describes the computerized effort to prove that the design theory known shortest Golomb rulers (up to 25 marks) design theory are really the shortest, or else find the design theory actual shortest ones.
• D.H. Rees Home Page - Information on Nested and Orthogonal BIBDs and related math topics.
• Orthogonal Arrays - Lists of orthogonal arrays, difference schemes and experimental design tools math maintained by Warren F. Kuhfeld.
• Blocks and Design Applet - Fractional factorial design generator by Marko Boon.
• Small Association Schemes - Tables of homogeneous coherent configurations by A. Hanaki and I. combinatorics Miyamoto.
• The Search for a Finite Projective Plane of Order 10 - By C.W.H. Lam.
• Handbook of Combinatorial Designs - Home page for The CRC Handbook of Combinatorial Designs.

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