| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598818 | Linear Algebra and its Applications | 2016 | 11 Pages |
Abstract
In this paper we introduce symplectic Grassmann codes, in analogy to ordinary Grassmann codes and orthogonal Grassmann codes, as projective codes defined by symplectic Grassmannians. Lagrangian–Grassmannian codes are a special class of symplectic Grassmann codes. We describe all the parameters of line symplectic Grassmann codes and we provide the full weight enumerator for the Lagrangian–Grassmannian codes of rank 2 and 3.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ilaria Cardinali, Luca Giuzzi,