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Enumeration and construction of pandiagonal Latin squares of prime order

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Publication:786817
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DOI10.1016/0898-1221(83)90130-XzbMath0528.05007MaRDI QIDQ786817

N. E. Zubov

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

permutationcyclic squarespandiagonal latin square


Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)


Related Items (6)

Existence of weakly pandiagonal orthogonal Latin squares ⋮ Recursive construction of non-cyclic pandiagonal Latin squares ⋮ Constructing non-cyclic pandiagonal Latin squares of prime orders ⋮ A survey of known results and research areas for \(n\)-queens ⋮ Construction of Knut Vik designs ⋮ Constructing Pandiagonal Latin Squares from Linear Cellular Automaton on Elementary Abelian Groups



Cites Work

  • Unnamed Item
  • On the nonexistence of Knut Vik designs for all even orders
  • A complete solution to the existence and nonexistence of Knut Vik designs and orthogonal Knut Vik designs
  • The n-queens problem
  • The algebraic theory of diabolic magic squares
  • Estimating the Efficiency of Backtrack Programs
  • The Logic of Inductive Inference


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