Abstract
Using Plücker coordinates we construct a matrix whose columns parametrize all projective isotropic lines in a symplectic space E of dimension 4 over a finite field (image Found)q. As an application of this construction we explicitly obtain the smallest subfamily of algebro-geometric codes defined by the corresponding Lagrangian-Grassmannian variety. Furthermore, we show that this subfamily is a class of three-weight linear codes over (image Found)q of length (q4 −1)/(q −1), dimension 5, and minimum Hamming distance q3 − q.
Author supplied keywords
Cite
CITATION STYLE
Carrillo-Pacheco, J., Vega, G., & Zaldívar, F. (2015). The weight distribution of a family of Lagrangian-Grassmannian codes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9084, pp. 240–246). Springer Verlag. https://doi.org/10.1007/978-3-319-18681-8_19
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
