Title
Classification of perfect linear codes with crown poset structure
Abstract
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
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 Ahn181.73
Hyun Kwang Kim28716.82
Jung Soo Kim315710.74
Mina Kim481.39