Design Theory Combinatorics Math

Design Theory

Designs and configurations, as a branch of Combinatorics. MSC classification 05Bxx.

• - With programs and algorithms for creating designs for statistical experiments.
  
• - Information on Nested and Orthogonal BIBDs and related topics.
  
• - A library of over 200 orthogonal arrays maintained by N. J. A. Sloane.
  
• - Links compiled by Peter Cameron.
  
• - Ed Pegg Jr. writes about the history (and future) of Golomb rulers and related concepts.
  
• - Compiled by Jennifer Seberry.
  
• - Construction of orthogonal arrays and covering arrays using permutation groups by George Sherwood.
  
• - Lists of known projective planes of small order compiled by Eric Moorhouse.
  
• - Tables of homogeneous coherent configurations by A. Hanaki and I. Miyamoto.
  
• - Hyperovals in Desarguesian Planes and related structures in arbitrary projective planes.
  
• - Description and theory, with references to additional reading.
  
• - A database of good covering designs constructed by Dan Gordon.
  
• - Fractional factorial design generator by Marko Boon.
  
• - As orbits of AG(2,q), PSL(2,2^f) and PGammaL(2,2^f) by Yves Edel.
  
• - Classification of Hadamard matrices and designs.
  
• - List of known {-1,1}-matrices with largest determinant and D-optimal designs.
  
• - Compiled by Jennifer Seberry.
  
• - 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.
  
• - Tables and examples in PG(k-1,q) by Yves Edel.
  
• - Table of lengths of shortest known Golomb rulers, counts of optimal and near-optimal rulers, and some Fortran programs for dealing with Golomb rulers.
  
• - Detailed, theoretical tutorial with references.
  
• - Leonard Soicher reports on new SOMAs, which are generalisations of mutually orthogonal latin squares.
  
• - A research project founded by the UK Engineering and Physical Sciences Research Council.
  
• - The search for optimal Golomb Rulers with 20, 21 and 22 marks.
  
• - Construction and analysis of comparative experiments at the Horticultural Research Institute.
  
• - Links to resources for design theory maintained by Peter Cameron.
  
• - Home page for The CRC Handbook of Combinatorial Designs.
  
• - A library of Hadamard matrices maintained by N. J. A. Sloane.
  
• - The Steiner system S(5,8,24) explicitly computed by Ashay Dharwadker.
  
  

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