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A note on the symmetry group of full rank perfect binary codes

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Publication:449148
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DOI10.1016/j.disc.2012.06.009zbMath1268.94037OpenAlexW2061197585MaRDI QIDQ449148

Olof Heden

Publication date: 12 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2012.06.009


zbMATH Keywords

perfect codes


Mathematics Subject Classification ID

Combinatorial codes (94B25)


Related Items

On the symmetry group of the Mollard code



Cites Work

  • On the symmetry group of extended perfect binary codes of length \(n+1\) and rank \(n-\log(n+1)+2\)
  • Every finite group is the automorphism group of some perfect code
  • On the existence of extended perfect binary codes with trivial symmetry group
  • On the size of the symmetry group of a perfect code
  • On the structure of non-full-rank perfect \(q\)-ary codes
  • On the structure of symmetry groups of Vasil'ev codes
  • Perfect codes and the Mathieu groups
  • Perfect binary codes: constructions, properties, and enumeration
  • The Perfect Binary One-Error-Correcting Codes of Length 15: Part II—Properties
  • On the Nonexistence of Perfect Codes over Finite Fields
  • A survey of perfect codes
  • On automorphism groups of perfect binary codes and Steiner triple systems
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