Automorphism groups of Grassmann codes
From MaRDI portal
Publication:2447749
DOI10.1016/j.ffa.2013.04.005zbMath1350.94058arXiv1204.5547OpenAlexW2124049958MaRDI QIDQ2447749
Krishna V. Kaipa, Sudhir R. Ghorpade
Publication date: 28 April 2014
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.5547
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05) Grassmannians, Schubert varieties, flag manifolds (14M15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)
Related Items
Enumerative coding for line polar Grassmannians with applications to codes ⋮ The structure of dual Grassmann codes ⋮ Minimum distance and the minimum weight codewords of Schubert codes ⋮ Line polar Grassmann codes of orthogonal type ⋮ Line Hermitian Grassmann codes and their parameters ⋮ Implementing line-Hermitian Grassmann codes ⋮ Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiplicities of points on a Schubert variety in a minuscule G/P
- Automorphisms of spine spaces
- Characters and the equivalence of codes
- Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes
- On the geometry of algebraic homogeneous spaces
- Grassmannians of Classical Buildings
- An elementary proof of the MacWilliams theorem on equivalence of codes
- Automorphism groups of homogeneous and projective Reed-Muller codes
- Duals of Affine Grassmann Codes and Their Relatives
- Affine Grassmann Codes
- Linear Transformations on Grassmann Spaces
- Transformations Preserving the Grassmannian