Super-simple cyclic designs with small values

DOI10.1016/j.jspi.2006.04.008zbMath1118.62077OpenAlexW2082532526MaRDI QIDQ2370484

Ke-jun Chen, Rui Zhong Wei

Publication date: 26 June 2007

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2006.04.008

zbMATH Keywords

balanced incomplete block designsoptical orthogonal codes

Mathematics Subject Classification ID

Statistical block designs (62K10) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (8)

Super-simple pairwise balanced designs with block sizes 3 and 4 ⋮ Decomposing triples of \(\mathbb Z_{p^n}\) and \(\mathbb Z_{3p^n}\) into cyclic designs ⋮ Super-simple group divisible designs with block size 4 and index \(\lambda = 7,8\) ⋮ THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS ⋮ Decomposing triples into cyclic designs ⋮ Super-simple balanced incomplete block designs with block size 4 and index 9 ⋮ Further results on the existence of super-simple pairwise balanced designs with block sizes 3 and 4 ⋮ Enumeration of Super-simple Cyclic Block Designs of Small Order

Cites Work

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• Optimal \((n,4,2)\)-OOC of small orders.
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Super-simple balanced incomplete block designs with block size 4 and index 6
• On the existence of super-simple \((v,4,4)\)-BIBDs
• Superpure digraph designs
• Optical orthogonal codes: design, analysis and applications
• On Cyclic Steiner 2-Designs
• New upper bounds on the minimum size of covering designs
• On optimal superimposed codes
• Some cyclic BIBDs with block size four
• Super-simple designs with \(v\leq 32\)

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