Steiner triple systems of order 15 and their codes

DOI10.1016/S0378-3758(96)00071-7zbMath0943.05016MaRDI QIDQ1361674

Robert S. Weishaar, Vladimir D. Tonchev

Publication date: 28 August 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

automorphism groupSteiner triple systemfinite geometrybinary code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Steiner systems in finite geometry (51E10) Combinatorial aspects of finite geometries (05B25) Triple systems (05B07)

Related Items (8)

Counting Steiner triple systems with classical parameters and prescribed rank ⋮ There are 1239 Steiner triple systems \(STS(31)\) of 2-rank 27 ⋮ On Bonisoli's theorem and the block codes of Steiner triple systems ⋮ Some combinatorial aspects of \(m\)-repeated burst error detecting codes ⋮ On the binary codes of Steiner triple systems ⋮ Primitive 2-factorizations of the complete graph ⋮ There exist non‐isomorphic STS(19) with equivalent point codes ⋮ A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\)

Cites Work

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• On projective and affine hyperplanes
• Ranks of incidence matrices of Steiner triple systems
• Quasi-symmetric designs, codes, quadrics, and hyperplane sections
• Codes of Steiner triple and quadruple systems
• Ternary codes of steiner triple systems

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