The weight hierarchies of \(q\)-ary linear codes of dimension 4

DOI10.1016/j.disc.2010.08.018zbMath1207.94075OpenAlexW2059816336MaRDI QIDQ607012

Wende Chen, Guoxiang Hu

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.08.018

zbMATH Keywords

difference sequenceweight hierarchy\(q\)-ary code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (1)

The determination on weight hierarchies of \(q\)-ary linear codes of dimension 5 in class IV

Cites Work

• On the weight hierarchy of product codes
• Weight hierarchies of linear codes satisfying the almost chain condition
• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• A lower bound on the greedy weights of product codes
• A lower bound on the weight hierarchies of product codes.
• Generalized Hamming weights for linear codes
• Generalized Hamming weights of linear codes
• On the optimum bit orders with respect to the state complexity of trellis diagrams for binary linear codes
• Minimum support weights of binary codes
• Codes satisfying the chain condition
• On the generalized Hamming weights of product codes
• Maximum-likelihood soft decision decoding of BCH codes
• The weight hierarchies of q-ary codes of dimension 4
• Bounds on the weight hierarchies of linear codes of dimension 4
• Dimension/length profiles and trellis complexity of linear block codes
• The worst case probability of undetected error for linear codes on the local binomial channel
• Weight hierarchies of linear codes of dimension 3
• Weight hierarchies of binary linear codes of dimension 4
• Upper bounds on weight hierarchies of extremal non-chain codes

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