The existence of cyclic \((v, 4, 1)\)-designs

DOI10.1007/s10623-022-01057-9zbMath1497.05021arXiv2206.06751OpenAlexW4282834658WikidataQ114849729 ScholiaQ114849729MaRDI QIDQ2153753

Menglong Zhang, Tao Feng, Xiao Miao Wang

Publication date: 13 July 2022

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.06751

zbMATH Keywords

difference familyoptical orthogonal codecyclic design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Cites Work

• Unnamed Item
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• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Constructions of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\)
• Steiner systems \(S(2,4,v)\) -- a survey
• Perfect difference families, perfect difference matrices, and related combinatorial structures
• The Existence and Construction of Balanced Incomplete Block Designs
• Optical orthogonal codes: design, analysis and applications
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• k-difference-cycles and the construction of cyclic t-designs
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Some cyclic BIBDs with block size four
• Improving two theorems of bose on difference families
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS

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