Generating orthomorphisms of \(GF(q)^ +\)

DOI10.1016/0012-365X(87)90148-8zbMath0606.05014OpenAlexW2078117598MaRDI QIDQ1084399

Anthony B. Evans

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0012-365x(87)90148-8

zbMATH Keywords

linear equationsorthomorphismconstructionGalois fieldmutually orthogonal latin squares

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Orthogonal arrays, Latin squares, Room squares (05B15) Permutation groups (20B99)

Related Items

Orthomorphisms of \(Z_ p\) ⋮ On the number of even and odd Latin squares of order \(p+1\) ⋮ Cyclotomic \(\mathcal R\)-orthomorphisms of finite fields

Cites Work

• On difference matrices, resolvable transversal designs and generalized Hadamard matrices
• On difference matrices and regular latin squares
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• Bol loops of order pq
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