Classification of affine resolvable \(2\)-\((27,9,4)\) designs

DOI10.1016/S0378-3758(96)00018-3zbMath0874.05009MaRDI QIDQ1361713

Clement Wing Hong Lam, Vladimir D. Tonchev

Publication date: 9 September 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

classificationautomorphism groupsenumerationincidence matricesaffine resolvable designsaffine geometry designcomplete orthogonal arraysoptimal equidistant ternary codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Statistical block designs (62K10)

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Cites Work

• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• The number of designs with classical parameters grows exponentially
• Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture
• Quasi-symmetric designs and biplanes of characteristic three
• Affine resolvable balanced incomplete block designs: a survey
• Orthogonal Arrays of Strength two and three
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