Super-simple balanced incomplete block designs with block size 4 and index 5
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Publication:1043632
DOI10.1016/j.disc.2008.07.003zbMath1250.05027OpenAlexW2011992755MaRDI QIDQ1043632
Haitao Cao, Rui Zhong Wei, Ke-jun Chen
Publication date: 9 December 2009
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2008.07.003
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Super-simple pairwise balanced designs with block sizes 3 and 4 ⋮ Super-simple resolvable balanced incomplete block designs with block size 4 and index 4 ⋮ Super-simple twofold Steiner pentagon systems ⋮ \(4^2\)-decomposable super-simple \((v,4,8)\)-BIBDs ⋮ The existence of λ $\lambda $‐decomposable super‐simple (4,2λ) $(4,2\lambda )$‐GDDs of type gu ${g}^{u}$ with λ=2,4 $\lambda =2,4$ ⋮ Decomposable super‐simple BIBDs with block size 4 and index 4, 6 ⋮ Super-simple \((v, 5, 2)\) directed designs and their smallest defining sets with application in LDPC codes ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ Super-simple \((v, 4, 2)\) directed designs and a lower bound for the minimum size of their defining set ⋮ Super-simple balanced incomplete block designs with block size 5 and index 3 ⋮ Decomposable super‐simple NRBIBDs with block size 4 and index 6 ⋮ Super-simple group divisible designs with block size 4 and index \(\lambda = 7,8\) ⋮ Super-simple, pan-orientable and pan-decomposable GDDs with block size 4 ⋮ Super-simple BIBDs with block size 4 and index 7 ⋮ Super-simple \((5, 4)\)-GDDs of group type \(g^u\) ⋮ Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures ⋮ Super-simple group divisible designs with block size 4 and index 9 ⋮ Super-simple group divisible designs with block size 4 and index 2 ⋮ On super-simple group divisible designs with block size four and index \(\lambda =3,4,6\) ⋮ 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
Cites Work
- Asymptotic results on suborthogonal \(\overrightarrow{\mathfrak G}\)-decompositions of complete digraphs
- On group-divisible designs with block size four and group-type \(6^{u} m^{1}\).
- Super-simple balanced incomplete block designs with block size 4 and index 6
- Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\)
- On the existence of super-simple designs with block size 4
- On the existence of super-simple \((v,4,4)\)-BIBDs
- Superpure digraph designs
- New upper bounds on the minimum size of covering designs
- On optimal superimposed codes
- Super-simple designs with \(v\leq 32\)
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