Relative difference sets partitioned by cosets

zbMath1372.05024MaRDI QIDQ2409828

Alan C. H. Ling, Peter J. Dukes

Publication date: 16 October 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p64

zbMATH Keywords

relative difference setoptical orthogonal codemutually orthogonal Latin squaredifference triangle system

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Cites Work

• Two applications of relative difference sets: difference triangles and negaperiodic autocorrelation functions
• A series of separable designs with application to pairwise orthogonal Latin squares
• More mutually orthogonal latin squares
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order
• Difference triangle sets from affine planes
• Relative difference sets
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