Large Sets of Orthogonal Arrays and Multimagic Squares

DOI10.1002/jcd.21338zbMath1276.05017OpenAlexW1831099007MaRDI QIDQ2864795

Yong Zhang, Jian Guo Lei, Ke-jun Chen

Publication date: 26 November 2013

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21338

zbMATH Keywords

Latin squareorthogonal arraymultimagic squarestrong double large set

Mathematics Subject Classification ID

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

Related Items (8)

The existence and application of strongly idempotent self-orthogonal row Latin magic arrays ⋮ The existence of irrational diagonally ordered magic squares ⋮ A complete solution to the existence of normal bimagic squares of even order ⋮ Constructions for new orthogonal arrays based on large sets of orthogonal arrays ⋮ The existence of irrational most perfect magic squares ⋮ Strongly symmetric self-orthogonal diagonal Latin squares and Yang Hui type magic squares ⋮ Existence of Yang Hui type magic squares ⋮ Construction of normal bimagic squares of order \(2u\)

Cites Work

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• On the existence of orthogonal arrays OA\((3,5,4n+2)\)
• A construction for doubly pandiagonal magic squares
• Constructions of new orthogonal arrays and covering arrays of strength three
• Construction of orthogonal arrays
• Three characterizations of non-binary correlation-immune and resilient functions
• A family of pandiagonal bimagic squares based on orthogonal arrays
• Oblivious transfers and intersecting codes
• Cryptographically resilient functions
• Bounds on orthogonal arrays and resilient functions
• Multimagic Squares
• Orthogonal Arrays of Index Unity

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