There are 1239 Steiner triple systems \(STS(31)\) of 2-rank 27

DOI10.1007/s10623-006-0006-6zbMath1186.05028OpenAlexW1988420559MaRDI QIDQ851747

Octavio Páez Osuna

Publication date: 22 November 2006

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-006-0006-6

zbMATH Keywords

Backtracking search with isomorph rejectionBlock code of a designSteiner triple system of 2-rank 27

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items

On the number of Steiner triple systems \(S(2^m - 1, 3, 2)\) of rank \(2^m - m + 2\) over \(\mathbb{F}_2\) ⋮ Counting Steiner triple systems with classical parameters and prescribed rank ⋮ Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\) ⋮ The classification of Steiner triple systems on 27 points with 3-rank 24 ⋮ Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes

Uses Software

• nauty

Cites Work

• Steiner triple systems of order 15 and their codes
• A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\)

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