Codes and caps from orthogonal Grassmannians
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Publication:2447806
DOI10.1016/j.ffa.2013.07.003zbMath1291.51003arXiv1303.5636OpenAlexW2033319610MaRDI QIDQ2447806
Publication date: 29 April 2014
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.5636
capembeddingHadamard matrixdual polar spaceerror correcting codepolar GrassmanniansSylvester construction
Linear codes and caps in Galois spaces (51E22) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)
Related Items (11)
A geometric approach to alternating \(k\)-linear forms ⋮ Enumerative coding for line polar Grassmannians with applications to codes ⋮ Equations for polar Grassmannians ⋮ Intersections of the Hermitian surface with irreducible quadrics in \(\mathrm{PG}(3,q^2)\), \(q\) odd ⋮ Minimum distance of symplectic Grassmann codes ⋮ Line polar Grassmann codes of orthogonal type ⋮ Line Hermitian Grassmann codes and their parameters ⋮ Minimum distance of orthogonal line-Grassmann codes in even characteristic ⋮ Implementing line-Hermitian Grassmann codes ⋮ Intersections of the Hermitian surface with irreducible quadrics in even characteristic ⋮ The graphs of projective codes
Cites Work
- Veronesean embeddings of dual polar spaces of orthogonal type
- Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
- A study of intersections of quadrics having applications on the small weight codewords of the functional codes \(C_2(Q)\), \(Q\) a non-singular quadric
- Twisted tensor product codes
- LDPC codes from Singer cycles
- Codes and projective multisets
- Buildings of spherical type and finite BN-pairs
- Caps and codes
- The correspondence between projective codes and 2-weight codes
- Caps embedded in Grassmannians
- Characterizations of quadric and Hermitian Veroneseans over finite fields
- Evaluation codes from smooth quadric surfaces and twisted Segre varieties
- Families of twisted tensor product codes
- LDPC codes from the Hermitian curve
- Generalized Veronesean embeddings of projective spaces
- Grassmann and Weyl embeddings of orthogonal Grassmannians
- Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes
- A Note on the Mathieu Groups
- Codes on finite geometries
- Hadamard Matrices and Their Designs: A Coding-Theoretic Approach
- Caps on classical varieties and their projections
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