Finite projective geometries and classification of the weight hierarchies of codes. I

DOI10.1007/s10114-004-0337-zzbMath1058.94018OpenAlexW2016527737MaRDI QIDQ1887426

Torleiv Kløve, Wende Chen

Publication date: 25 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0337-z

zbMATH Keywords

chain conditiondifference sequenceweight hierarchybinary linear codesupport weightfinite projective geometries

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

On the relative generalized Hamming weights of a 4-dimensional linear code and a subcode with dimension one

Cites Work

• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• Bounds on the weight hierarchies of extremal non-chain codes of dimension 4
• 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
• 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
• Weight hierarchies of extremal non-chain binary 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

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