Linear codes arising from the Gale transform of distinguished subsets of some projective spaces

DOI10.1016/j.disc.2011.05.022zbMath1263.51005OpenAlexW2074445537MaRDI QIDQ658115

Angelo Sonnino, Antonio Cossidente

Publication date: 11 January 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.05.022

zbMATH Keywords

caplinear codeunitalBaer subplaneGale transform

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22)

Related Items (2)

On linear codes admitting large automorphism groups ⋮ On the existence of PD-sets: algorithms arising from automorphism groups of codes

Uses Software

• Magma

Cites Work

• Finite geometry and the Gale transform
• A characterization of some locally finite simple groups of Lie type
• \(k\)-arcs and dual \(k\)-arcs
• The Magma algebra system. I: The user language
• The projective geometry of the Gale transform.
• On unitary collineation groups
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