On orthogonal orthomorphisms of cyclic and non-Abelian groups

DOI10.1016/S0012-365X(01)00211-4zbMath1015.20019OpenAlexW1989844313MaRDI QIDQ5957713

Anthony B. Evans

Publication date: 7 May 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(01)00211-4

zbMATH Keywords

finite groupscyclic groupsmutually orthogonal Latin squaresdihedral groupsorthogonal orthomorphisms

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (10)

Cyclic balanced sampling plans excluding contiguous units with block size four ⋮ Resolvable generalized difference matrices: existence and applications ⋮ Difference matrices with four rows over generalized dihedral groups ⋮ Asymptotic Enumeration of Difference Matrices over Cyclic Groups ⋮ Further results on the existence of nested orthogonal arrays ⋮ Existence of GBRDs with block size 4 and BRDs with block size 5 ⋮ Diagonally cyclic Latin squares. ⋮ A note on a pair of orthogonal orthomorphisms of cyclic groups ⋮ On (\(g\), 4; 1)-difference matrices ⋮ Difference matrices with five rows over finite abelian groups

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