Projective geometric codes

DOI10.1006/jcta.2002.3265zbMath1026.94019OpenAlexW2076734441MaRDI QIDQ1865375

S. P. Inamdar, Bhaskar Bagchi

Publication date: 26 March 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.2002.3265

zbMATH Keywords

minimum weight wordsprojective geometric codes

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Combinatorial codes (94B25)

Related Items (12)

On Characterizing Designs by Their Codes ⋮ The Use of Blocking Sets in Galois Geometries and in Related Research Areas ⋮ A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type ⋮ Minimal codewords arising from the incidence of points and hyperplanes in projective spaces ⋮ Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order \(p^2\) ⋮ Small weight codewords of projective geometric codes ⋮ On the code generated by the incidence matrix of points and \(k\)-spaces in \(\text{PG}(n,q)\) and its dual ⋮ Codes arising from incidence matrices of points and hyperplanes in \(\mathrm{PG}(n, q)\) ⋮ On the code generated by the incidence matrix of points and hyperplanes in \(\text{PG}(n,q)\) and its dual ⋮ Small weight code words arising from the incidence of points and hyperplanes in \(\mathrm{PG}(n,q)\) ⋮ Recent progress in algebraic design theory ⋮ Moderate-density parity-check codes from projective bundles

Cites Work

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• Minimum weight words of binary codes associated with finite projective geometries
• The \(p\)-rank of the incidence matrix of intersecting linear subspaces
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• On generalized ReedMuller codes and their relatives
• Codes from Veronese and Segre embeddings and Hamada's formula
• Rigidity theorems for partial linear spaces

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