On difference matrices and regular latin squares

DOI10.1007/BF02941430zbMath0404.05012MaRDI QIDQ1256478

Dieter Jungnickel

Publication date: 1980

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Orthogonal Latin SquaresLatin SquaresDifference MatrixEuler's ConjectureRegular Latin Squares

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

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Cites Work

• Concerning the number of mutually orthogonal latin squares
• On the Construction of Sets of Mutually Orthogonal Latin Squares and the Falsity of a Conjecture of Euler
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• A Theorem in Finite Projective Geometry and Some Applications to Number Theory
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