Generalized Hamming weights for linear codes
From MaRDI portal
Publication:3980935
DOI10.1109/18.133259zbMath0735.94008OpenAlexW2127558904MaRDI QIDQ3980935
Publication date: 26 June 1992
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/18.133259
Related Items (only showing first 100 items - show all)
Weight distributions of geometric Goppa codes ⋮ Weight functions and generalized Hamming weights of linear codes ⋮ Higher support matroids ⋮ Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower ⋮ Onm-MDS codes over finite fields ⋮ Generalized Hamming weights of three classes of linear codes ⋮ The weight hierarchy of a family of cyclic codes with arbitrary number of nonzeroes ⋮ Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes ⋮ Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes ⋮ The determination on weight hierarchies of \(q\)-ary linear codes of dimension 5 in class IV ⋮ On the structure of matroids arising from the gain graphs ⋮ On the generalised rank weights of quasi-cyclic codes ⋮ On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes ⋮ GHW for \((x, x+y)\)-construction of codes ⋮ On the weights of dual codes arising from the GK curve ⋮ Generalized Hamming weights of linear codes from cryptographic functions ⋮ On the minimum number of minimal codewords ⋮ Generalized Hamming weights of toric codes over hypersimplices and squarefree affine evaluation codes ⋮ Generalized weights of codes over rings and invariants of monomial ideals ⋮ Some matroids related to sum-rank metric codes ⋮ Regularity index of the generalized minimum distance function ⋮ Relative generalized Hamming weights of evaluation codes ⋮ Hamming polynomial of a demimatroid ⋮ The \(b\)-symbol weight hierarchy of the Kasami codes ⋮ A Method of Protected Distribution of Data Among Unreliable and Untrusted Nodes ⋮ The second-order football-pool problem and the optimal rate of generalized-covering codes ⋮ Codes from symmetric polynomials ⋮ On the relative generalized Hamming weights of a 4-dimensional linear code and a subcode with dimension one ⋮ A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields ⋮ ON THE SUPPORT WEIGHT DISTRIBUTION OF LINEAR CODES OVER THE RING ⋮ Greedy weights for matroids ⋮ On message protection in cryptosystems modelled as the generalized wire-tap channel II ⋮ Generalizations of the Griesmer bound ⋮ Evaluation codes from order domain theory ⋮ On the relative profiles of a linear code and a subcode ⋮ Weight hierarchies of linear codes of dimension 3 ⋮ Higher weights for ternary and quaternary self-dual codes* ⋮ Improvements on generalized Hamming weights of some trace codes ⋮ On the generalized weights of a class of trace codes ⋮ Graph-based convolutional and block LDPC codes ⋮ On the dual of quaternary Goethals codes and their weight hierarchies ⋮ Generalized Hamming weights of projective Reed-Muller-type codes over graphs ⋮ Generalized minimum distance functions and algebraic invariants of Geramita ideals ⋮ Linear codes over signed graphs ⋮ Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes ⋮ Схема разделения секрета типа схемы Блэкли, основанная на пересечении подпространств ⋮ THE WEIGHT HIERARCHY OF HADAMARD CODES ⋮ Parity helps to compute majority ⋮ On the generalized Feng-Rao numbers of numerical semigroups generated by intervals ⋮ On the third greedy weight of 4-dimensional codes ⋮ Theory of supports for linear codes endowed with the sum-rank metric ⋮ NOTE ON SUPPORT WEIGHT DISTRIBUTION OF LINEAR CODES OVER ⋮ Near-MDS codes arising from algebraic curves ⋮ Support weight enumerators and coset weight distributions of isodual codes ⋮ Demi-matroids from codes over finite Frobenius rings ⋮ Matrix characterization of linear codes with arbitrary Hamming weight hierarchy ⋮ Linear relations for a generalized Tutte polynomial ⋮ Codes for Distributed Storage ⋮ Bounds for generalized Hamming weights of general AG codes ⋮ An improvement of the Feng-Rao bound for primary codes ⋮ The second generalized Hamming weight of certain Castle codes ⋮ Codes for a generalized wire-tap channel model ⋮ Direct products in projective Segre codes ⋮ The weight hierarchies of the projective codes from nondegenerate quadrics ⋮ Higher weights and near-MDR codes over chain rings ⋮ The effective length of subcodes ⋮ Generalized weights and the Ball-Blokhuis congruence ⋮ Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ Finite projective geometries and classification of the weight hierarchies of codes. I ⋮ A class of cyclotomic linear codes and their generalized Hamming weights ⋮ Covering symmetric sets of the Boolean cube by affine hyperplanes ⋮ A generalization of Kung's theorem ⋮ The fullrank value function ⋮ The second generalized Hamming weight of some evaluation codes arising from a projective torus ⋮ On the weight hierarchy of irreducible cyclic codes ⋮ Relative generalized Hamming weights over Frobenius rings ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ Notes on the value function ⋮ On codes over \(\mathrm{FFN}(1,q)\)-projective varieties ⋮ The geometric structure of relative one-weight codes ⋮ The weight hierarchy of the Kasami codes ⋮ The second Feng-Rao number for codes coming from telescopic semigroups ⋮ Flags of almost affine codes and the two-party wire-TAP channel of type II ⋮ On near-MDS codes ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ On dually almost MRD codes ⋮ On the weight hierarchy of codes associated to curves of complete intersection ⋮ On \(q\)-Steiner systems from rank metric codes ⋮ On the weight hierarchy of the semiprimitive codes ⋮ Code constructions and existence bounds for relative generalized Hamming weight ⋮ On codes satisfying the double chain condition ⋮ Geometry of classical groups over finite fields and its applications ⋮ The weight hierarchies and generalized weight spectra of the projective codes from degenerate quadrics ⋮ The generalized Hamming weights of some hyperelliptic codes ⋮ Pure resolutions, linear codes, and Betti numbers ⋮ Locally recoverable codes from algebraic curves with separated variables ⋮ The weight hierarchies of \(q\)-ary linear codes of dimension 4 ⋮ Relative generalized Hamming weights of affine Cartesian codes ⋮ Parameterized codes associated to the edges of some subgraphs of a simple graph ⋮ Further improvements on the Feng-Rao bound for dual codes
This page was built for publication: Generalized Hamming weights for linear codes
