Miscellaneous classification results for 2-designs

DOI10.1016/j.disc.2003.07.002zbMath1041.05010OpenAlexW2030290437MaRDI QIDQ1827673

Petteri Kaski, Patric R. J. Östergård

Publication date: 6 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2003.07.002

zbMATH Keywords

Resolvable designBalanced incomplete block designOrderly algorithmDerived designResidual design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial codes (94B25) Software, source code, etc. for problems pertaining to combinatorics (05-04)

Related Items (4)

A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs ⋮ Fano kaleidoscopes and their generalizations ⋮ Enumeration of the doubles of the projective plane of order 4 ⋮ A construction of non self-orthogonal designs

Uses Software

• GAP
• Cliquer

Cites Work

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• Enumeration of 2-(9, 3, \({\lambda}\)) designs and their resolutions
• A complete classification of symmetric (31, 10, 3) designs
• A fast algorithm for the maximum clique problem
• Classification of Hadamard matrices of order 24 and 28
• The near resolvable \(2\)-\((13,4,3)\) designs and thirteen-player whist tournaments
• There exists no (15,5,4) RBIBD†*
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Isomorph-Free Exhaustive Generation
• Error-correcting codes over an alphabet of four elements

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