Generalized Hamming weights of q-ary Reed-Muller codes
From MaRDI portal
Publication:4392444
DOI10.1109/18.651015zbMath1053.94581OpenAlexW2111616448MaRDI QIDQ4392444
Pellikaan, Ruud, P. W. Heijnen
Publication date: 3 June 1999
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/18.651015
Related Items
Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ A class of cyclotomic linear codes and their generalized Hamming weights ⋮ Covering symmetric sets of the Boolean cube by affine hyperplanes ⋮ The second generalized Hamming weight of some evaluation codes arising from a projective torus ⋮ Number of solutions of systems of homogeneous polynomial equations over finite fields ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ Batch codes from affine Cartesian codes and quotient spaces ⋮ The second Feng-Rao number for codes coming from telescopic semigroups ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ Generalized Hamming weights of three classes of linear codes ⋮ Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes ⋮ Relative generalized Hamming weights of affine Cartesian codes ⋮ Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ Further improvements on the Feng-Rao bound for dual codes ⋮ On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes ⋮ Weight enumeration of codes from finite spaces ⋮ Generalized Hamming weights of toric codes over hypersimplices and squarefree affine evaluation codes ⋮ Relative generalized Hamming weights of cyclic codes ⋮ Relative generalized Hamming weights of evaluation codes ⋮ On the Bias of Reed--Muller Codes over Odd Prime Fields ⋮ Codes from symmetric polynomials ⋮ A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields ⋮ On linear projective codes which satisfy the chain condition. ⋮ Parameters of the codes over affine varieties ⋮ Feng-Rao decoding of primary codes ⋮ Evaluation codes and their basic parameters ⋮ Vanishing ideals of projective spaces over finite fields and a projective footprint bound ⋮ Evaluation codes from order domain theory ⋮ Generalized Hamming weights of affine Cartesian codes ⋮ Generalized Hamming weights of codes over the \(\mathcal{GH}\) curve ⋮ A note on the generalized Hamming weights of Reed-Muller codes ⋮ On the existence of order functions ⋮ Generalized minimum distance functions ⋮ Varieties over finite fields: quantitative theory ⋮ Generalized Hamming weights of projective Reed-Muller-type codes over graphs ⋮ Weight distributions and weight hierarchies of two classes of binary linear codes ⋮ The dual of an evaluation code ⋮ Linear codes over signed graphs ⋮ On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups ⋮ The second generalized Hamming weight for two-point codes on a Hermitian curve ⋮ Counting plane cubic curves over finite fields with a prescribed number of rational intersection points ⋮ Hermitian codes and complete intersections ⋮ Goppa-like bounds for the generalized Feng-Rao distances. ⋮ On the number of solutions of polynomial systems ⋮ Generalized Reed-Muller codes and curves with many points ⋮ 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 ⋮ Weight enumerators of Reed-Muller codes from cubic curves and their duals ⋮ On the generalized Feng-Rao numbers of numerical semigroups generated by intervals ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve ⋮ Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields ⋮ Bounds for generalized Hamming weights of general AG codes
This page was built for publication: Generalized Hamming weights of q-ary Reed-Muller codes
