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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.

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