On the Nonexistence of Orthogonal Steiner Systems of Order 9

DOI10.4153/CMB-1970-028-2zbMath0195.03102OpenAlexW2332229315MaRDI QIDQ5590827

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Publication date: 1970

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1970-028-2

zbMATH Keywords

Steiner triple systemsorthogonal pairs of Steiner systems

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (8)

Pairwise balanced designs with block sizes \(6t+1\) ⋮ Unnamed Item ⋮ On the falsity of a conjecture on orthogonal Steiner triple systems ⋮ Compatibly ordered-OSTS of order \(n\) and compatibly ordered-OGDD of type \(h^n\) for \(n=6k+1\) ⋮ The existence of Room squares ⋮ Orthogonal group divisible designs of typehn forh ≤ 6 ⋮ The use of hill‐climbing to construct orthogonal steiner triple systems ⋮ Sets of three pairwise orthogonal Steiner triple systems

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