Doubly Resolvable Nearly Kirkman Triple Systems
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Publication:2842264
DOI10.1002/jcd.21342zbMath1269.05015OpenAlexW1666970134MaRDI QIDQ2842264
Cheng Min Wang, Nigel H. N. Chan, Charles J. Colbourn, Jin-Hua Wang, R. Julian R. Abel, Esther R. Lamken
Publication date: 13 August 2013
Published in: Journal of Combinatorial Designs (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/jcd.21342
Related Items (12)
On generalized Howell designs with block size three ⋮ Semiframes with Block Size Three and Odd Group Size ⋮ The asymptotic existence of \(\mathrm{DR}(v,k,k-1)\)-BIBDs ⋮ Orthogonally Resolvable Cycle Decompositions ⋮ Frames and doubly resolvable group divisible designs with block size three and index two ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Doubly resolvable 4-cycle systems of \(2K_v\) ⋮ Doubly resolvable H designs ⋮ Optimal multiply constant-weight codes from generalized Howell designs ⋮ The asymptotic existence of frames with a pair of orthogonal frame resolutions ⋮ Doubly resolvable canonical Kirkman packing designs and its applications ⋮ Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\)
Cites Work
- Nearly Kirkman triple systems of order 18 and Hanani triple systems of order 19
- Pairwise balanced designs with consecutive block sizes
- Doubly resolvable designs
- A doubly divisible nearly Kirkman system
- The existence of Kirkman squares -- doubly resolvable \((v,3,1)\)-BIBDs
- A few more Kirkman squares and doubly near resolvable BIBDs with block size 3
- 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs
- Optimal doubly constant weight codes
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