A lower bound on the weight hierarchies of product codes.

DOI10.1016/S0166-218X(02)00449-3zbMath1034.94019MaRDI QIDQ1811108

Wolfgang Willems, Hans Georg Schaathun

Publication date: 10 June 2003

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

zbMATH Keywords

chain conditionweight hierarchyproduct codeprojective multiset

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (8)

Direct products in projective Segre codes ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ The weight hierarchies of \(q\)-ary linear codes of dimension 4 ⋮ Generalized minimum distance functions ⋮ Generalized Hamming weights of projective Reed-Muller-type codes over graphs ⋮ Linear codes over signed graphs ⋮ Scroll codes

Cites Work

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• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• The weight hierarchies of some product codes
• The weight hierarchy of product codes
• Generalized Hamming weights for linear codes
• Generalized Hamming weights of linear codes
• On the generalized Hamming weights of product codes
• Dimension/length profiles and trellis complexity of linear block codes
• Weight hierarchy of a product code
• The weight hierarchies of some product codes

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