Abstract | ||
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Brualdi et al. introduced the concept of poset codes. In this paper, we consider the problem of classifying all perfect linear codes when the set of coordinate positions is endowed with crown poset structure. We derive a Ramanujan-Nagell type diophantine equation which is satisfied by parameters of perfect linear P-code. Solving this equation, we characterize parameters of one and two error correcting perfect linear P-codes. |
Year | DOI | Venue |
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2003 | 10.1016/S0012-365X(02)00679-9 | Discrete Mathematics |
Keywords | DocType | Volume |
crown poset,perfect linear p-codes,poset codes,crown poset structure,ramanujan-nagell type diophantine equation,poset code,ramanujan–nagell equation,perfect linear code,perfect p -code,perfect linear p-code,ramanujan nagell equation,satisfiability,diophantine equation,linear code,error correction | Journal | 268 |
Issue | ISSN | Citations |
1-3 | Discrete Mathematics | 8 |
PageRank | References | Authors |
1.39 | 1 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jungmin Ahn | 1 | 8 | 1.73 |
Hyun Kwang Kim | 2 | 87 | 16.82 |
Jung Soo Kim | 3 | 157 | 10.74 |
Mina Kim | 4 | 8 | 1.39 |