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On perfect \(p\)-ary codes of length \(p+1\)

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Publication:1008963
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DOI10.1007/S10623-007-9133-YzbMath1178.94238OpenAlexW1977128710MaRDI QIDQ1008963

Olof Heden

Publication date: 31 March 2009

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

Full work available at URL: https://doi.org/10.1007/s10623-007-9133-y



Mathematics Subject Classification ID

Combinatorial codes (94B25)


Related Items (4)

Classification of MDS Codes over Small Alphabets ⋮ Parity check systems of nonlinear codes over finite commutative Frobenius rings ⋮ On non-full-rank perfect codes over finite fields ⋮ Efficient representation of binary nonlinear codes: constructions and minimum distance computation




Cites Work

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  • A full rank perfect code of length 31
  • Kernels and \(p\)-kernels of \(p^r\)-ary 1-perfect codes.
  • A General Product Construction for Error Correcting Codes
  • Perfect codes hardly exist
  • A generalized Lloyd theorem and mixed perfect codes.
  • Nonequivalent q-Ary Perfect Codes
  • On linear and nonlinear single-error-correcting q-nary perfect codes
  • On Group and Nongroup Perfect Codes in $q$ Symbols.




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