On the number of 8\(\times 8\) Latin squares

DOI10.1016/0097-3165(90)90015-OzbMath0694.05015MaRDI QIDQ908925

G. Kolesova, Larry Thiel, Clement Wing Hong Lam

Publication date: 1990

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

projective planesLatin squares

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (14)

A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five ⋮ The number of Latin squares of order 11 ⋮ On even and odd latin squares ⋮ A new algorithm for enumerating all possible Sudoku squares ⋮ Computing Autotopism Groups of Partial Latin Rectangles ⋮ Cocyclic Hadamard matrices over Latin rectangles ⋮ Enumeration of Latin squares with conjugate symmetry ⋮ A computational approach to analyze the Hadamard quasigroup product ⋮ Determinants of Latin Squares of Order 8 ⋮ Reasoning and proof in the mathematics classroom ⋮ A constraint on the biembedding of Latin squares ⋮ Problems on the generation of finite models ⋮ A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares ⋮ Using a CAS/DGS to analyze computationally the configuration of planar bar linkage mechanisms based on partial Latin squares

Cites Work

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• The number of 9x9 Latin squares
• Backtrack search with isomorph rejection and consistency check
• Enumeration of latin squares with application to order 8
• The number of latin squares of order eight
• THE 7 × 7 SQUARES
• An Omission in Norton's List of $7 \times 7$ Squares

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