On the number of Steiner triple systems \(S(2^m - 1, 3, 2)\) of rank \(2^m - m + 2\) over \(\mathbb{F}_2\)

DOI10.1016/j.disc.2016.05.026zbMath1339.05033arXiv1512.00187OpenAlexW2897182257MaRDI QIDQ2629284

Dmitrii Zinoviev

Publication date: 5 July 2016

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00187

zbMATH Keywords

Steiner triple system

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (5)

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Cites Work

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• Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+1\) over \(\mathbb F_2\)
• Remark on ``Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+1\) over \(\mathbb F_2\)
• There are 1239 Steiner triple systems \(STS(31)\) of 2-rank 27
• Structure of Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+2\) over \(\mathbb F_2\)
• A formula for the number of Steiner quadruple systems on 2ⁿ points of 2‐rank 2ⁿ−n
• The Steiner triple systems of order 19
• A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\)

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