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STS-graphs of perfect codes mod kernel

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Publication:556834
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DOI10.1016/j.disc.2004.12.008zbMath1073.94024OpenAlexW1978495854MaRDI QIDQ556834

Abel A. Delgado, Italo Jose Dejter

Publication date: 23 June 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.12.008


zbMATH Keywords

Steiner triple systemgraph invariantperfect 1-error correcting code


Mathematics Subject Classification ID

Applications of graph theory (05C90) Triple systems (05B07) Combinatorial codes (94B25)




Cites Work

  • Algebraic techniques for nonlinear codes
  • Kernels of nonlinear Hamming codes
  • Well-Ordered Steiner Triple Systems and 1-Perfect Partitions of the n-cube
  • Translation-invariant propelinear codes
  • A characterization of 1-perfect additive codes
  • Perfect binary codes: constructions, properties, and enumeration
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