The weight hierarchies of the projective codes from nondegenerate quadrics

DOI10.1007/BF01388457zbMath0802.94014OpenAlexW1978435645MaRDI QIDQ1329118

Zhe-Xian Wan

Publication date: 15 December 1994

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01388457

zbMATH Keywords

linear codesprojective geometriesprojective codesnondegenerate quadrics

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of finite geometries (05B25) Combinatorial codes (94B25) General block designs in finite geometry (51E05)

Related Items (10)

Linear codes with two or three weights from quadratic bent functions ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ Geometry of classical groups over finite fields and its applications ⋮ The weight hierarchies and generalized weight spectra of the projective codes from degenerate quadrics ⋮ Varieties over finite fields: quantitative theory ⋮ Geometric construction of some families of two-class and three-class association schemes from nondegenerate quadrics in characteristic two ⋮ Higher weights of anticodes and the generalized Griesmer bound. ⋮ Weight hierarchies of a family of linear codes associated with degenerate quadratic forms ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes

Cites Work

• Codes projectifs à deux ou trois poids associes aux hyperquadriques d'une géométrie finie
• 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 generalized Hamming weights of product codes
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