Maximum w‐cyclic holey group divisible packings with block size three and applications to optical orthogonal codes

DOI10.1002/jcd.21797arXiv2006.06921OpenAlexW3187726686MaRDI QIDQ6146196

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Publication date: 5 February 2024

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

Full work available at URL: https://arxiv.org/abs/2006.06921

zbMATH Keywords

maximumthree-dimensionaloptical orthogonal code\(w\)-cyclicholey group divisible packing

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial codes (94B25) Combinatorial aspects of packing and covering (05B40)

Cites Work

• \(w\)-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes
• Recursive constructions for cyclic block designs
• A new class of group divisible designs with block size three
• Balanced incomplete block designs and related designs
• A general construction for optimal cyclic packing designs
• On 2-chromatic \((v,5,1)\)-designs
• Semi-cyclic holey group divisible designs with block size three
• Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)).
• On (\(g\), 4; 1)-difference matrices
• Semi-cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes
• Combinatorial Constructions of Optimal Three-Dimensional Optical Orthogonal Codes
• The collision channel without feedback
• Optical orthogonal codes: design, analysis and applications
• Two-Dimensional Optical Orthogonal Codes and Semicyclic Group Divisible Designs
• Determination of Sizes of Optimal Three‐Dimensional Optical Orthogonal Codes of Weight Three with the AM‐OPP Restriction
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