The classification of Steiner triple systems on 27 points with 3-rank 24
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Publication:670206
DOI10.1007/S10623-018-0502-5zbMath1407.05036OpenAlexW2808196715MaRDI QIDQ670206
Dieter Jungnickel, Vladimir D. Tonchev, Spyros S. Magliveras, Alfred Wassermann
Publication date: 18 March 2019
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-018-0502-5
Combinatorial aspects of block designs (05B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Steiner systems in finite geometry (51E10) Triple systems (05B07)
Related Items (5)
Counting Steiner triple systems with classical parameters and prescribed rank ⋮ On the number of resolvable Steiner triple systems of small 3-rank ⋮ Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\) ⋮ The projective general linear group \(\mathrm{PGL}(2,2^m)\) and linear codes of length \(2^m+1\) ⋮ Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes
Uses Software
Cites Work
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- A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\)
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