Classification of perfect linear codes with crown poset structure

DOI10.1016/S0012-365X(02)00679-9zbMath1028.94034OpenAlexW2014810672MaRDI QIDQ1398251

Mina Kim, Hyun Kwang Kim, Jung Soo Kim, Jungmin Ahn

Publication date: 29 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00679-9

zbMATH Keywords

Diophantine equationposet codesRamanujan-Nagell equationcrown posetperfect \(P\)-code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Exponential Diophantine equations (11D61) Combinatorial codes (94B25)

Related Items (8)

Characterization of extended Hamming and Golay codes as perfect codes in poset block spaces ⋮ On perfect poset codes ⋮ Perfect codes in poset block spaces ⋮ The poset structures admitting the extended binary Golay code to be a perfect code ⋮ Groups of linear isometries on poset structures ⋮ The poset structures admitting the extended binary Hamming code to be a perfect code ⋮ Maximum distance separable poset codes ⋮ On the nonexistence of triple-error-correcting perfect binary linear codes with a crown poset structure

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