Frames and doubly resolvable group divisible designs with block size three and index two

DOI10.1007/s00373-023-02681-5OpenAlexW4386203704MaRDI QIDQ6063287

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Publication date: 7 November 2023

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-023-02681-5

zbMATH Keywords

framestarter-adderdoubly resolvable group divisible design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial codes (94B25)

Cites Work

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• On generalized Howell designs with block size three
• Existence results for doubly near resolvable \((v,3,2)\)-BIBDs
• Doubly resolvable designs
• On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays
• Bounds for permutation arrays
• A doubly divisible nearly Kirkman system
• The existence of Kirkman squares -- doubly resolvable \((v,3,1)\)-BIBDs
• The existence of doubly resolvable \((v,3,2)\)-BIBDs
• On existence of two classes of generalized Howell designs with block size three and index two
• The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\)
• Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\)
• A few more Kirkman squares and doubly near resolvable BIBDs with block size 3
• 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs
• Doubly Resolvable Nearly Kirkman Triple Systems
• Four Mutually Orthogonal Latin Squares of Order 14
• Constructions of Optimal and Near-Optimal Multiply Constant-Weight Codes
• The existence of doubly near resolvable (v,3,2)‐BIBDs
• Existence of Five MOLS of Orders 18 and 60
• Optimal doubly constant weight codes

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