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On the classification of perfect codes: side class structures

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Publication:851765
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DOI10.1007/s10623-006-0024-4zbMath1205.94122OpenAlexW2084235719MaRDI QIDQ851765

Olof Heden, Martin Hessler

Publication date: 22 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10623-006-0024-4


zbMATH Keywords

perfect codestilings


Mathematics Subject Classification ID

Combinatorial codes (94B25)


Related Items (4)

Linear maps of perfect codes and irregular \(C\)-partitions ⋮ On kernels of perfect codes ⋮ Perfect codes from the dual point of view. I ⋮ On the classification of perfect codes: extended side class structures



Cites Work

  • On perfect codes: Rank and kernel
  • On the ranks and kernels problem for perfect codes
  • A full rank perfect code of length 31
  • Perfect codes as isomorphic spaces
  • Perfect codes hardly exist
  • On Perfect Codes and Tilings: Problems and Solutions
  • Full-Rank Tilings of $\mathbbF^8_\!2$ Do Not Exist
  • Resolving the Existence of Full-Rank Tilings of Binary Hamming Spaces
  • Tilings of Binary Spaces


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