Codes associated to Schubert varieties in G(2,5) over F_2
M. S. Wavare · New Trends in Mathematical Science · 2019
Denote by G(ℓ, m), the Grassmannian of ℓ-dimensional subspaces of a m-dimensional vector space F q m over the finite field F q and Ω α (ℓ, m), the Schubert subvarieties of G (ℓ, m).A linear [n, k] q -code is a k-dimensional subspace of the n-dimensional vector space F n q .In this paper, we consider the problem of determining generalized spectrum of linear codes associated to Schubert subvarieties of Grassmannians.We make a small begining here by detremining the seond generalized spectrum (i.e.second weight distribution) of Schubert codes associated to Schubert subvarieties of G(ℓ, m) over F 2 in case of ℓ = 2 and m = 5.