Weight hierarchies of linear codes of dimension 3
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Publication:5934170
DOI10.1016/S0378-3758(00)00250-0zbMath1019.94037OpenAlexW2056407710MaRDI QIDQ5934170
Publication date: 8 September 2003
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00250-0
Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)
Related Items (4)
Finite projective geometries and classification of the weight hierarchies of codes. I ⋮ The weight hierarchies of \(q\)-ary linear codes of dimension 4 ⋮ The determination on weight hierarchies of \(q\)-ary linear codes of dimension 5 in class IV ⋮ 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 \(n_1 ((q^\ell-1)/N)\)
- 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
- Dimension/length profiles and trellis complexity of linear block codes
- Weight hierarchy of a product code
- The worst case probability of undetected error for linear codes on the local binomial channel
- The weight hierarchies of some product codes
- Weight hierarchies of binary linear codes of dimension 4
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