On subspace codes

DOI10.1007/S10623-014-0018-6zbMath1355.94092OpenAlexW2048525143MaRDI QIDQ5963370

Francesco Pavese, Antonio Cossidente

Publication date: 19 February 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-014-0018-6

zbMATH Keywords

Klein quadricSinger cyclic groupprojective bundlesubspace code

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25)

Related Items (10)

Subspace code constructions ⋮ Veronese subspace codes ⋮ Constant dimension codes from Riemann-Roch spaces ⋮ Combining subspace codes ⋮ A note on equidistant subspace codes ⋮ Galois geometries and coding theory ⋮ Subspaces intersecting in at most a point ⋮ A Note onq-Covering Designs in PG(5,q) ⋮ Orbit codes from forms on vector spaces over a finite field ⋮ A construction of abelian non-cyclic orbit codes

Uses Software

• Magma

Cites Work

• On finite division algebras
• Projective bundles
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Optimal binary subspace codes of length 6, constant dimension 3 and minimum subspace distance 4
• Endliche Gruppen I
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