Codes of Steiner triple and quadruple systems

DOI10.1007/BF01388410zbMath0779.51004OpenAlexW2023887414MaRDI QIDQ1802189

Yanyan Li

Publication date: 18 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf01388410

zbMATH Keywords

Steiner triple systemSteiner quadruple systembinary code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Steiner systems in finite geometry (51E10) Linear codes and caps in Galois spaces (51E22) Triple systems (05B07)

Related Items

Some transitive Steiner triple systems of Bagchi and Bagchi ⋮ Steiner triple systems of order 15 and their codes ⋮ Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+1\) over \(\mathbb F_2\) ⋮ A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\) ⋮ Perfect codes from the dual point of view. I ⋮ Bases of minimum-weight vectors for codes from designs

Cites Work

• On projective and affine hyperplanes
• Ranks of incidence matrices of t-designs \(S_\lambda (t,t+1,v)\)
• On generalized ReedMuller codes and their relatives
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