THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS

DOI10.17654/DM018030269zbMath1396.05016OpenAlexW2739106986MaRDI QIDQ4639458

Daniela Silvesan, Nabil Shalaby

Publication date: 9 May 2018

Published in: Advances and Applications in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/dm018030269

zbMATH Keywords

relative difference familycyclic GDDcyclic difference familycyclic BIBD

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Cites Work

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• A few more cyclic Steiner 2-designs
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• Further results on optimal optical orthogonal codes with weight 4.
• Starters and related codes
• Some combinatorial constructions for optical orthogonal codes
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Some new \(\mathbb{Z}\)-cyclic whist tournament designs
• Recursive constructions for cyclic BIB designs and their generalizations
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
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• Constructions for optimal optical orthogonal codes
• Steiner systems \(S(2,4,v)\) -- a survey
• Super-simple cyclic designs with small values
• Cyclotomy and difference families in elementary Abelian groups
• Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)).
• On (\(g\), 4; 1)-difference matrices
• Optimal (9v, 4, 1) Optical Orthogonal Codes
• Perfect difference families, perfect difference matrices, and related combinatorial structures
• The Existence and Construction of Balanced Incomplete Block Designs
• On Cyclic Steiner 2-Designs
• Addition Theorems for Perfect Systems of Difference Sets
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Constructions for optimal (υ, 4, 1) optical orthogonal codes
• Combinatorial constructions of optimal optical orthogonal codes with weight 4
• Some cyclic BIBDs with block size four
• Constructions for optimal constant weight cyclically permutable codes and difference families
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
• Super-simple designs with \(v\leq 32\)
• Perfect Cayley designs as generalizations of perfect Mendelsohn designs

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