On the theory and application of sum composition of Latin squares and orthogonal Latin squares

DOI10.2140/pjm.1974.54.85zbMath0315.05011OpenAlexW1979689566MaRDI QIDQ1220934

Esther Seiden, A. S. Hedayat

Publication date: 1974

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1974.54.85

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Designs and configurations (05B99)

Related Items (15)

Existence of three HMOLS of type \(2^nu^{1}\) ⋮ Some new conjugate orthogonal Latin squares ⋮ Semi-Latin squares ⋮ Row-column designs for comparing treatments with a control ⋮ Further results on incomplete (3,2,1)-conjugate orthogonal idempotent Latin squares ⋮ Diagonally cyclic Latin squares. ⋮ Existence of frame sols of type 2ⁿu¹ ⋮ Existence of frame SOLS of type \(a^nb^1\) for odd \(n\) ⋮ Frame self-orthogonal Mendelsohn triple systems ⋮ Unnamed Item ⋮ A generalization of sum composition: Self orthogonal latin square design with sub self orthogonal latin square designs ⋮ A conversation with Samad Hedayat ⋮ Construction of orthogonal latin squares using left neofields ⋮ Frame self-orthogonal Mendelsohn triple systems of type \(h^n\) ⋮ Existence of \(r\)-self-orthogonal Latin squares

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