On the binary codes of Steiner triple systems

DOI10.1007/BF00130567zbMath0922.05009OpenAlexW1979460411MaRDI QIDQ677158

Vladimir D. Tonchev, Alphonse Baartmans, Ivan N. Landgev

Publication date: 31 March 1997

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

Full work available at URL: https://doi.org/10.1007/bf00130567

zbMATH Keywords

Steiner triple systemhyperovalsovalsbinary code

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Steiner systems in finite geometry (51E10) Blocking sets, ovals, (k)-arcs (51E21) Triple systems (05B07)

Related Items (4)

Combinatorial game distributions of Steiner systems ⋮ Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of \(M_{11}\) ⋮ There exist non‐isomorphic STS(19) with equivalent point codes ⋮ Minimum weights of point codes of Steiner triple systems

Cites Work

• On projective and affine hyperplanes
• Steiner triple systems of order 15 and their codes
• Sur la structure de certains systèmes triples de Steiner
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