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Unrestricted codes with the Golay parameters are unique

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Publication:1218393
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DOI10.1016/0012-365X(75)90047-3zbMath0307.94013MaRDI QIDQ1218393

Philippe Delsarte, Jean-Marie Goethals

Publication date: 1975

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



Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94B99)


Related Items (10)

Quasi-symmetric designs and self-dual codes ⋮ PIR codes with short block length ⋮ Algebraic theory of block codes detecting independent errors ⋮ The sextuply shortened binary Golay code is optimal ⋮ More on the uniqueness of the Golay codes ⋮ The regular two-graph on 276 vertices ⋮ The hyperplanes of the near hexagon related to the extended ternary Golay code ⋮ Spherical codes and designs ⋮ The uniqueness of the near hexagon on 729 points ⋮ An extension of an inequality by Ahlswede, El Gamal and Pang for pairs of binary codes




Cites Work

  • A note on a result in the theory of code construction
  • Error Detecting and Error Correcting Codes
  • Four fundamental parameters of a code and their combinatorial significance
  • On the uniqueness of the Golay codes
  • On the Nonexistence of Perfect Codes over Finite Fields
  • Coding theory
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