Reconstructing the ternary Golay code

DOI10.1016/0097-3165(86)90100-7zbMath0606.94003OpenAlexW2013933982MaRDI QIDQ1085137

Donald Y. Goldberg

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90100-7

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (6)

On asymmetric representations of \(\text{GF}(q^ m)\) and self-dual codes ⋮ The extended Golay codes considered as ideals ⋮ On \(Q\)-ary images of self-dual codes ⋮ Self-dual permutation codes over finite chain rings ⋮ Higher power residue codes. ⋮ MDS codes over \(\mathbb{F}_9\) related to the ternary Golay code

Cites Work

• A new construction of the binary Golay code (24, 12, 8) using a group algebra over a finite field
• A generalized weight for linear codes and a Witt-MacWilliams theorems
• On the uniqueness of the Golay codes
• Sphere Packings and Error-Correcting Codes
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