On Classifying Steiner Triple Systems by Their 3-Rank

DOI10.1007/978-3-319-72453-9_24zbMath1504.05032OpenAlexW2777430417MaRDI QIDQ4628502

Alfred Wassermann, Vladimir D. Tonchev, Spyros S. Magliveras, Dieter Jungnickel

Publication date: 14 March 2019

Published in: Mathematical Aspects of Computer and Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72453-9_24

zbMATH Keywords

ternary codeSteiner triple systems

Mathematics Subject Classification ID

Triple systems (05B07) Combinatorial codes (94B25)

Related Items (4)

The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes ⋮ Counting Steiner triple systems with classical parameters and prescribed rank ⋮ The classification of Steiner triple systems on 27 points with 3-rank 24 ⋮ Steiner systems \(S(2, 4, \frac{3^m-1}{2})\) and 2-designs from ternary linear codes of length \(\frac{3^m-1}{2}\)

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