A recursive construction of doubly resolvable Steiner quadruple systems
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Publication:6544462
DOI10.1007/s10623-024-01356-3zbMATH Open1544.05014MaRDI QIDQ6544462
Qingling Gao, Zhaoping Meng, Zhanggui Wu
Publication date: 27 May 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Steiner quadruple systemdoubly resolvablegroup divisible \(t\)-designalmost doubly resolvable candelabra quadruple system
Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Steiner systems in finite geometry (51E10) Triple systems (05B07)
Cites Work
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- Doubly resolvable H designs
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- The existence of resolvable Steiner quadruple systems
- H-designs with the properties of resolvability or (1, 2)-resolvability
- Existence of resolvable H-designs with group sizes 2, 3, 4 and 6
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- Resolvable candelabra quadruple systems with three groups
- Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
- An improvement on H design
- A complete solution to existence of H designs
- Resolvable Steiner Quadruple Systems for the Last 23 Orders
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