Non-full-rank Steiner quadruple systems \(S(v,4,3)\)

DOI10.1134/S0032946014030053zbMath1308.05023OpenAlexW2080776326MaRDI QIDQ2263010

Dmitrii Zinoviev, Victor A. Zinoviev

Publication date: 17 March 2015

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946014030053

zbMATH Keywords

Steiner systemsLatin cubes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Triple systems (05B07)

Related Items (1)

The number of the non-full-rank Steiner quadruple systems \(S ( v , 4 , 3 )\)

Cites Work

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• On resolvability of Steiner systems \(S ( v = 2^{ m }, 4, 3)\) of rank \(r \leq v - m + 1\) over \(\mathbb{F}_{2}\)
• On projective and affine hyperplanes
• Ranks of incidence matrices of Steiner triple systems
• Steiner quadruple systems - a survey
• Structure of Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+2\) over \(\mathbb F_2\)
• On the number of 1-factorizations of a complete graph
• On Quadruple Systems
• 10.17686/sced_rusnauka_2008-1040
• A formula for the number of Steiner quadruple systems on 2ⁿ points of 2‐rank 2ⁿ−n

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